OCC.Core.BRepApprox module¶

BRepApprox module, see official documentation at https://www.opencascade.com/doc/occt-7.4.0/refman/html/package_brepapprox.html

class BRepApprox_Approx(*args)¶

Bases: object

Return type: None

IsDone()¶

Return type: bool

NbMultiCurves()¶

Return type: int

SetParameters()¶

Parameters

Tol3d –

type Tol3d: float
param Tol2d
type Tol2d: float
param DegMin
type DegMin: int
param DegMax
type DegMax: int
param NbIterMax
type NbIterMax: int
param NbPntMax: default value is 30
type NbPntMax: int
param ApproxWithTangency: default value is Standard_True
type ApproxWithTangency: bool
param Parametrization: default value is Approx_ChordLength
type Parametrization: Approx_ParametrizationType
rtype: None

TolReached2d()¶

Return type: float

TolReached3d()¶

Return type: float

Value()¶

Parameters

Index –

type Index: int
rtype: AppParCurves_MultiBSpCurve

property thisown¶: The membership flag

class BRepApprox_ApproxLine(*args)¶

Bases: OCC.Core.Standard.Standard_Transient

Parameters

CurveXYZ –

type CurveXYZ: Geom_BSplineCurve
param CurveUV1
type CurveUV1: Geom2d_BSplineCurve
param CurveUV2
type CurveUV2: Geom2d_BSplineCurve
rtype: None* theTang variable has been entered only for compatibility with the alias IntPatch_WLine. They are not used in this class.
param lin
type lin: IntSurf_LineOn2S
param theTang: default value is Standard_False
type theTang: bool
rtype: None

static DownCast(t)¶

NbPnts()¶

Return type: int

Point()¶

Parameters

Index –

type Index: int
rtype: IntSurf_PntOn2S

property thisown¶: The membership flag

class BRepApprox_BSpGradient_BFGSOfMyBSplGradientOfTheComputeLineOfApprox(*args)¶

Bases: OCC.Core.math.math_BFGS

Parameters

F –

type F: math_MultipleVarFunctionWithGradient
param StartingPoint
type StartingPoint: math_Vector
param Tolerance3d
type Tolerance3d: float
param Tolerance2d
type Tolerance2d: float
param Eps
type Eps: float
param NbIterations: default value is 200
type NbIterations: int
rtype: None

property thisown¶: The membership flag

class BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox(*args)¶

Bases: OCC.Core.math.math_MultipleVarFunctionWithGradient

initializes the fields of the function. The approximating curve has <NbPol> control points.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param TheConstraints

type TheConstraints

AppParCurves_HArray1OfConstraintCouple

param Parameters

type Parameters

math_Vector

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param NbPol

type NbPol

int

rtype

None

CurveValue()¶

returns the MultiBSpCurve approximating the set after computing the value F or Grad(F).

rtype

AppParCurves_MultiBSpCurve

DerivativeFunctionMatrix()¶

returns the derivative function matrix used to approximate the multiline.

rtype

math_Matrix

Error()¶

returns the distance between the MultiPoint of range IPoint and the curve CurveIndex.

param IPoint

type IPoint

int

param CurveIndex

type CurveIndex

int

rtype

float

FirstConstraint()¶

Parameters

TheConstraints –

type TheConstraints: AppParCurves_HArray1OfConstraintCouple
param FirstPoint
type FirstPoint: int
rtype: AppParCurves_Constraint

FunctionMatrix()¶

returns the function matrix used to approximate the multiline.

rtype

math_Matrix

Index()¶

Returns the indexes of the first non null values of A and DA. The values are non null from Index(ieme point) +1 to Index(ieme point) + degree +1.

rtype

math_IntegerVector

LastConstraint()¶

Parameters

TheConstraints –

type TheConstraints: AppParCurves_HArray1OfConstraintCouple
param LastPoint
type LastPoint: int
rtype: AppParCurves_Constraint

MaxError2d()¶

returns the maximum distance between the points and the MultiBSpCurve.

rtype

float

MaxError3d()¶

returns the maximum distance between the points and the MultiBSpCurve.

rtype

float

NewParameters()¶

returns the new parameters of the MultiLine.

rtype

math_Vector

SetFirstLambda()¶

Parameters

l1 –

type l1: float
rtype: None

SetLastLambda()¶

Parameters

l2 –

type l2: float
rtype: None

property thisown¶: The membership flag

class BRepApprox_BSpParLeastSquareOfMyBSplGradientOfTheComputeLineOfApprox(*args)¶

Bases: object

given a MultiLine, this algorithm computes the least square resolution using the Householder-QR method. If the first and/or the last point is a constraint point, the value of the tangency or curvature is computed in the resolution. NbPol is the number of control points wanted for the approximating curves. The system to solve is the following: A X = B. Where A is the Bernstein matrix computed with the parameters, B the points coordinates and X the poles solutions. The matrix A is the same for each coordinate x, y and z and is also the same for each MultiLine point because they are approximated in parallel(so with the same parameter, only the vector B changes).

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param Parameters

type Parameters

math_Vector

param NbPol

type NbPol

int

rtype

None* Initializes the fields of the object.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param NbPol

type NbPol

int

rtype

None* given a MultiLine, this algorithm computes the least square resolution using the Householder-QR method. If the first and/or the last point is a constraint point, the value of the tangency or curvature is computed in the resolution. Deg is the degree wanted for the approximating curves. The system to solve is the following: A X = B. Where A is the BSpline functions matrix computed with <parameters>, B the points coordinates and X the poles solutions. The matrix A is the same for each coordinate x, y and z and is also the same for each MultiLine point because they are approximated in parallel(so with the same parameter, only the vector B changes).

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param Parameters

type Parameters

math_Vector

param NbPol

type NbPol

int

rtype

None* Initializes the fields of the object.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param NbPol

type NbPol

int

rtype

None

BSplineValue()¶

returns the result of the approximation, i.e. all the Curves. An exception is raised if NotDone.

rtype

AppParCurves_MultiBSpCurve

BezierValue()¶

returns the result of the approximation, i.e. all the Curves. An exception is raised if NotDone.

rtype

AppParCurves_MultiCurve

DerivativeFunctionMatrix()¶

returns the derivative function matrix used to approximate the set.

rtype

math_Matrix

Distance()¶

returns the distances between the points of the multiline and the approximation curves.

rtype

math_Matrix

Error()¶

returns the maximum errors between the MultiLine and the approximation curves. F is the sum of the square distances.

param F

type F

float

param MaxE3d

type MaxE3d

float

param MaxE2d

type MaxE2d

float

rtype

None

ErrorGradient()¶

returns the maximum errors between the MultiLine and the approximation curves. F is the sum of the square distances. Grad is the derivative vector of the function F.

param Grad

type Grad

math_Vector

param F

type F

float

param MaxE3d

type MaxE3d

float

param MaxE2d

type MaxE2d

float

rtype

None

FirstLambda()¶

returns the value (P2 - P1)/ V1 if the first point was a tangency point.

rtype

float

FunctionMatrix()¶

returns the function matrix used to approximate the set.

rtype

math_Matrix

IsDone()¶

returns True if all has been correctly done.

rtype

bool

KIndex()¶

Returns the indexes of the first non null values of A and DA. The values are non null from Index(ieme point) +1 to Index(ieme point) + degree +1.

rtype

math_IntegerVector

LastLambda()¶

returns the value (PN - PN-1)/ VN if the last point was a tangency point.

rtype

float

Perform()¶

Is used after having initialized the fields. The case ‘CurvaturePoint’ is not treated in this method.

param Parameters

type Parameters

math_Vector

rtype

None* Is used after having initialized the fields.

param Parameters

type Parameters

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None* Is used after having initialized the fields. <V1t> is the tangent vector at the first point. <V2t> is the tangent vector at the last point.

param Parameters

type Parameters

math_Vector

param V1t

type V1t

math_Vector

param V2t

type V2t

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None* Is used after having initialized the fields. <V1t> is the tangent vector at the first point. <V2t> is the tangent vector at the last point. <V1c> is the tangent vector at the first point. <V2c> is the tangent vector at the last point.

param Parameters

type Parameters

math_Vector

param V1t

type V1t

math_Vector

param V2t

type V2t

math_Vector

param V1c

type V1c

math_Vector

param V2c

type V2c

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None

Points()¶

returns the matrix of points value.

rtype

math_Matrix

Poles()¶

returns the matrix of resulting control points value.

rtype

math_Matrix

property thisown¶: The membership flag

class BRepApprox_Gradient_BFGSOfMyGradientOfTheComputeLineBezierOfApprox(*args)¶

Bases: OCC.Core.math.math_BFGS

Parameters

F –

type F: math_MultipleVarFunctionWithGradient
param StartingPoint
type StartingPoint: math_Vector
param Tolerance3d
type Tolerance3d: float
param Tolerance2d
type Tolerance2d: float
param Eps
type Eps: float
param NbIterations: default value is 200
type NbIterations: int
rtype: None

property thisown¶: The membership flag

class BRepApprox_Gradient_BFGSOfMyGradientbisOfTheComputeLineOfApprox(*args)¶

Bases: OCC.Core.math.math_BFGS

Parameters

F –

type F: math_MultipleVarFunctionWithGradient
param StartingPoint
type StartingPoint: math_Vector
param Tolerance3d
type Tolerance3d: float
param Tolerance2d
type Tolerance2d: float
param Eps
type Eps: float
param NbIterations: default value is 200
type NbIterations: int
rtype: None

property thisown¶: The membership flag

class BRepApprox_MyBSplGradientOfTheComputeLineOfApprox(*args)¶

Bases: object

Tries to minimize the sum (square(||Qui - Bi*Pi||)) where Pui describe the approximating BSpline curves’Poles and Qi the MultiLine points with a parameter ui. In this algorithm, the parameters ui are the unknowns. The tolerance required on this sum is given by Tol. The desired degree of the resulting curve is Deg.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param TheConstraints

type TheConstraints

AppParCurves_HArray1OfConstraintCouple

param Parameters

type Parameters

math_Vector

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param Deg

type Deg

int

param Tol3d

type Tol3d

float

param Tol2d

type Tol2d

float

param NbIterations

default value is 1

type NbIterations

int

rtype

None* Tries to minimize the sum (square(||Qui - Bi*Pi||)) where Pui describe the approximating BSpline curves’Poles and Qi the MultiLine points with a parameter ui. In this algorithm, the parameters ui are the unknowns. The tolerance required on this sum is given by Tol. The desired degree of the resulting curve is Deg.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param TheConstraints

type TheConstraints

AppParCurves_HArray1OfConstraintCouple

param Parameters

type Parameters

math_Vector

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param Deg

type Deg

int

param Tol3d

type Tol3d

float

param Tol2d

type Tol2d

float

param NbIterations

type NbIterations

int

param lambda1

type lambda1

float

param lambda2

type lambda2

float

rtype

None

AverageError()¶

returns the average error between the old and the new approximation.

rtype

float

Error()¶

returns the difference between the old and the new approximation. An exception is raised if NotDone. An exception is raised if Index<1 or Index>NbParameters.

param Index

type Index

int

rtype

float

IsDone()¶

returns True if all has been correctly done.

rtype

bool

MaxError2d()¶

returns the maximum difference between the old and the new approximation.

rtype

float

MaxError3d()¶

returns the maximum difference between the old and the new approximation.

rtype

float

Value()¶

returns all the BSpline curves approximating the MultiLine SSP after minimization of the parameter.

rtype

AppParCurves_MultiBSpCurve

property thisown¶: The membership flag

class BRepApprox_MyGradientOfTheComputeLineBezierOfApprox(*args)¶

Bases: object

Tries to minimize the sum (square(||Qui - Bi*Pi||)) where Pui describe the approximating Bezier curves’Poles and Qi the MultiLine points with a parameter ui. In this algorithm, the parameters ui are the unknowns. The tolerance required on this sum is given by Tol. The desired degree of the resulting curve is Deg.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param TheConstraints

type TheConstraints

AppParCurves_HArray1OfConstraintCouple

param Parameters

type Parameters

math_Vector

param Deg

type Deg

int

param Tol3d

type Tol3d

float

param Tol2d

type Tol2d

float

param NbIterations

default value is 200

type NbIterations

int

rtype

None

AverageError()¶

returns the average error between the old and the new approximation.

rtype

float

Error()¶

returns the difference between the old and the new approximation. An exception is raised if NotDone. An exception is raised if Index<1 or Index>NbParameters.

param Index

type Index

int

rtype

float

IsDone()¶

returns True if all has been correctly done.

rtype

bool

MaxError2d()¶

returns the maximum difference between the old and the new approximation.

rtype

float

MaxError3d()¶

returns the maximum difference between the old and the new approximation.

rtype

float

Value()¶

returns all the Bezier curves approximating the MultiLine SSP after minimization of the parameter.

rtype

AppParCurves_MultiCurve

property thisown¶: The membership flag

class BRepApprox_MyGradientbisOfTheComputeLineOfApprox(*args)¶

Bases: object

Tries to minimize the sum (square(||Qui - Bi*Pi||)) where Pui describe the approximating Bezier curves’Poles and Qi the MultiLine points with a parameter ui. In this algorithm, the parameters ui are the unknowns. The tolerance required on this sum is given by Tol. The desired degree of the resulting curve is Deg.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param TheConstraints

type TheConstraints

AppParCurves_HArray1OfConstraintCouple

param Parameters

type Parameters

math_Vector

param Deg

type Deg

int

param Tol3d

type Tol3d

float

param Tol2d

type Tol2d

float

param NbIterations

default value is 200

type NbIterations

int

rtype

None

AverageError()¶

returns the average error between the old and the new approximation.

rtype

float

Error()¶

returns the difference between the old and the new approximation. An exception is raised if NotDone. An exception is raised if Index<1 or Index>NbParameters.

param Index

type Index

int

rtype

float

IsDone()¶

returns True if all has been correctly done.

rtype

bool

MaxError2d()¶

returns the maximum difference between the old and the new approximation.

rtype

float

MaxError3d()¶

returns the maximum difference between the old and the new approximation.

rtype

float

Value()¶

returns all the Bezier curves approximating the MultiLine SSP after minimization of the parameter.

rtype

AppParCurves_MultiCurve

property thisown¶: The membership flag

class BRepApprox_ParFunctionOfMyGradientOfTheComputeLineBezierOfApprox(*args)¶

Bases: OCC.Core.math.math_MultipleVarFunctionWithGradient

initializes the fields of the function. The approximating curve has the desired degree Deg.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param TheConstraints

type TheConstraints

AppParCurves_HArray1OfConstraintCouple

param Parameters

type Parameters

math_Vector

param Deg

type Deg

int

rtype

None

CurveValue()¶

returns the MultiCurve approximating the set after computing the value F or Grad(F).

rtype

AppParCurves_MultiCurve

Error()¶

returns the distance between the MultiPoint of range IPoint and the curve CurveIndex.

param IPoint

type IPoint

int

param CurveIndex

type CurveIndex

int

rtype

float

FirstConstraint()¶

Parameters

TheConstraints –

type TheConstraints: AppParCurves_HArray1OfConstraintCouple
param FirstPoint
type FirstPoint: int
rtype: AppParCurves_Constraint

LastConstraint()¶

Parameters

TheConstraints –

type TheConstraints: AppParCurves_HArray1OfConstraintCouple
param LastPoint
type LastPoint: int
rtype: AppParCurves_Constraint

MaxError2d()¶

returns the maximum distance between the points and the MultiCurve.

rtype

float

MaxError3d()¶

returns the maximum distance between the points and the MultiCurve.

rtype

float

NewParameters()¶

returns the new parameters of the MultiLine.

rtype

math_Vector

property thisown¶: The membership flag

class BRepApprox_ParFunctionOfMyGradientbisOfTheComputeLineOfApprox(*args)¶

Bases: OCC.Core.math.math_MultipleVarFunctionWithGradient

initializes the fields of the function. The approximating curve has the desired degree Deg.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param TheConstraints

type TheConstraints

AppParCurves_HArray1OfConstraintCouple

param Parameters

type Parameters

math_Vector

param Deg

type Deg

int

rtype

None

CurveValue()¶

returns the MultiCurve approximating the set after computing the value F or Grad(F).

rtype

AppParCurves_MultiCurve

Error()¶

returns the distance between the MultiPoint of range IPoint and the curve CurveIndex.

param IPoint

type IPoint

int

param CurveIndex

type CurveIndex

int

rtype

float

FirstConstraint()¶

Parameters

TheConstraints –

type TheConstraints: AppParCurves_HArray1OfConstraintCouple
param FirstPoint
type FirstPoint: int
rtype: AppParCurves_Constraint

LastConstraint()¶

Parameters

TheConstraints –

type TheConstraints: AppParCurves_HArray1OfConstraintCouple
param LastPoint
type LastPoint: int
rtype: AppParCurves_Constraint

MaxError2d()¶

returns the maximum distance between the points and the MultiCurve.

rtype

float

MaxError3d()¶

returns the maximum distance between the points and the MultiCurve.

rtype

float

NewParameters()¶

returns the new parameters of the MultiLine.

rtype

math_Vector

property thisown¶: The membership flag

class BRepApprox_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfApprox(*args)¶

Bases: object

given a MultiLine, this algorithm computes the least square resolution using the Householder-QR method. If the first and/or the last point is a constraint point, the value of the tangency or curvature is computed in the resolution. NbPol is the number of control points wanted for the approximating curves. The system to solve is the following: A X = B. Where A is the Bernstein matrix computed with the parameters, B the points coordinates and X the poles solutions. The matrix A is the same for each coordinate x, y and z and is also the same for each MultiLine point because they are approximated in parallel(so with the same parameter, only the vector B changes).

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param Parameters

type Parameters

math_Vector

param NbPol

type NbPol

int

rtype

None* Initializes the fields of the object.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param NbPol

type NbPol

int

rtype

None* given a MultiLine, this algorithm computes the least square resolution using the Householder-QR method. If the first and/or the last point is a constraint point, the value of the tangency or curvature is computed in the resolution. Deg is the degree wanted for the approximating curves. The system to solve is the following: A X = B. Where A is the BSpline functions matrix computed with <parameters>, B the points coordinates and X the poles solutions. The matrix A is the same for each coordinate x, y and z and is also the same for each MultiLine point because they are approximated in parallel(so with the same parameter, only the vector B changes).

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param Parameters

type Parameters

math_Vector

param NbPol

type NbPol

int

rtype

None* Initializes the fields of the object.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param NbPol

type NbPol

int

rtype

None

BSplineValue()¶

returns the result of the approximation, i.e. all the Curves. An exception is raised if NotDone.

rtype

AppParCurves_MultiBSpCurve

BezierValue()¶

returns the result of the approximation, i.e. all the Curves. An exception is raised if NotDone.

rtype

AppParCurves_MultiCurve

DerivativeFunctionMatrix()¶

returns the derivative function matrix used to approximate the set.

rtype

math_Matrix

Distance()¶

returns the distances between the points of the multiline and the approximation curves.

rtype

math_Matrix

Error()¶

returns the maximum errors between the MultiLine and the approximation curves. F is the sum of the square distances.

param F

type F

float

param MaxE3d

type MaxE3d

float

param MaxE2d

type MaxE2d

float

rtype

None

ErrorGradient()¶

returns the maximum errors between the MultiLine and the approximation curves. F is the sum of the square distances. Grad is the derivative vector of the function F.

param Grad

type Grad

math_Vector

param F

type F

float

param MaxE3d

type MaxE3d

float

param MaxE2d

type MaxE2d

float

rtype

None

FirstLambda()¶

returns the value (P2 - P1)/ V1 if the first point was a tangency point.

rtype

float

FunctionMatrix()¶

returns the function matrix used to approximate the set.

rtype

math_Matrix

IsDone()¶

returns True if all has been correctly done.

rtype

bool

KIndex()¶

Returns the indexes of the first non null values of A and DA. The values are non null from Index(ieme point) +1 to Index(ieme point) + degree +1.

rtype

math_IntegerVector

LastLambda()¶

returns the value (PN - PN-1)/ VN if the last point was a tangency point.

rtype

float

Perform()¶

Is used after having initialized the fields. The case ‘CurvaturePoint’ is not treated in this method.

param Parameters

type Parameters

math_Vector

rtype

None* Is used after having initialized the fields.

param Parameters

type Parameters

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None* Is used after having initialized the fields. <V1t> is the tangent vector at the first point. <V2t> is the tangent vector at the last point.

param Parameters

type Parameters

math_Vector

param V1t

type V1t

math_Vector

param V2t

type V2t

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None* Is used after having initialized the fields. <V1t> is the tangent vector at the first point. <V2t> is the tangent vector at the last point. <V1c> is the tangent vector at the first point. <V2c> is the tangent vector at the last point.

param Parameters

type Parameters

math_Vector

param V1t

type V1t

math_Vector

param V2t

type V2t

math_Vector

param V1c

type V1c

math_Vector

param V2c

type V2c

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None

Points()¶

returns the matrix of points value.

rtype

math_Matrix

Poles()¶

returns the matrix of resulting control points value.

rtype

math_Matrix

property thisown¶: The membership flag

class BRepApprox_ParLeastSquareOfMyGradientbisOfTheComputeLineOfApprox(*args)¶

Bases: object

given a MultiLine, this algorithm computes the least square resolution using the Householder-QR method. If the first and/or the last point is a constraint point, the value of the tangency or curvature is computed in the resolution. NbPol is the number of control points wanted for the approximating curves. The system to solve is the following: A X = B. Where A is the Bernstein matrix computed with the parameters, B the points coordinates and X the poles solutions. The matrix A is the same for each coordinate x, y and z and is also the same for each MultiLine point because they are approximated in parallel(so with the same parameter, only the vector B changes).

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param Parameters

type Parameters

math_Vector

param NbPol

type NbPol

int

rtype

None* Initializes the fields of the object.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param NbPol

type NbPol

int

rtype

None* given a MultiLine, this algorithm computes the least square resolution using the Householder-QR method. If the first and/or the last point is a constraint point, the value of the tangency or curvature is computed in the resolution. Deg is the degree wanted for the approximating curves. The system to solve is the following: A X = B. Where A is the BSpline functions matrix computed with <parameters>, B the points coordinates and X the poles solutions. The matrix A is the same for each coordinate x, y and z and is also the same for each MultiLine point because they are approximated in parallel(so with the same parameter, only the vector B changes).

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param Parameters

type Parameters

math_Vector

param NbPol

type NbPol

int

rtype

None* Initializes the fields of the object.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param FirstCons

type FirstCons

AppParCurves_Constraint

param LastCons

type LastCons

AppParCurves_Constraint

param NbPol

type NbPol

int

rtype

None

BSplineValue()¶

returns the result of the approximation, i.e. all the Curves. An exception is raised if NotDone.

rtype

AppParCurves_MultiBSpCurve

BezierValue()¶

returns the result of the approximation, i.e. all the Curves. An exception is raised if NotDone.

rtype

AppParCurves_MultiCurve

DerivativeFunctionMatrix()¶

returns the derivative function matrix used to approximate the set.

rtype

math_Matrix

Distance()¶

returns the distances between the points of the multiline and the approximation curves.

rtype

math_Matrix

Error()¶

returns the maximum errors between the MultiLine and the approximation curves. F is the sum of the square distances.

param F

type F

float

param MaxE3d

type MaxE3d

float

param MaxE2d

type MaxE2d

float

rtype

None

ErrorGradient()¶

returns the maximum errors between the MultiLine and the approximation curves. F is the sum of the square distances. Grad is the derivative vector of the function F.

param Grad

type Grad

math_Vector

param F

type F

float

param MaxE3d

type MaxE3d

float

param MaxE2d

type MaxE2d

float

rtype

None

FirstLambda()¶

returns the value (P2 - P1)/ V1 if the first point was a tangency point.

rtype

float

FunctionMatrix()¶

returns the function matrix used to approximate the set.

rtype

math_Matrix

IsDone()¶

returns True if all has been correctly done.

rtype

bool

KIndex()¶

Returns the indexes of the first non null values of A and DA. The values are non null from Index(ieme point) +1 to Index(ieme point) + degree +1.

rtype

math_IntegerVector

LastLambda()¶

returns the value (PN - PN-1)/ VN if the last point was a tangency point.

rtype

float

Perform()¶

Is used after having initialized the fields. The case ‘CurvaturePoint’ is not treated in this method.

param Parameters

type Parameters

math_Vector

rtype

None* Is used after having initialized the fields.

param Parameters

type Parameters

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None* Is used after having initialized the fields. <V1t> is the tangent vector at the first point. <V2t> is the tangent vector at the last point.

param Parameters

type Parameters

math_Vector

param V1t

type V1t

math_Vector

param V2t

type V2t

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None* Is used after having initialized the fields. <V1t> is the tangent vector at the first point. <V2t> is the tangent vector at the last point. <V1c> is the tangent vector at the first point. <V2c> is the tangent vector at the last point.

param Parameters

type Parameters

math_Vector

param V1t

type V1t

math_Vector

param V2t

type V2t

math_Vector

param V1c

type V1c

math_Vector

param V2c

type V2c

math_Vector

param l1

type l1

float

param l2

type l2

float

rtype

None

Points()¶

returns the matrix of points value.

rtype

math_Matrix

Poles()¶

returns the matrix of resulting control points value.

rtype

math_Matrix

property thisown¶: The membership flag

class BRepApprox_ResConstraintOfMyGradientOfTheComputeLineBezierOfApprox(*args)¶

Bases: object

Given a MultiLine SSP with constraints points, this algorithm finds the best curve solution to approximate it. The poles from SCurv issued for example from the least squares are used as a guess solution for the uzawa algorithm. The tolerance used in the Uzawa algorithms is Tolerance. A is the Bernstein matrix associated to the MultiLine and DA is the derivative bernstein matrix.(They can come from an approximation with ParLeastSquare.) The MultiCurve is modified. New MultiPoles are given.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param SCurv

type SCurv

AppParCurves_MultiCurve

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param Constraints

type Constraints

AppParCurves_HArray1OfConstraintCouple

param Bern

type Bern

math_Matrix

param DerivativeBern

type DerivativeBern

math_Matrix

param Tolerance

default value is 1.0e-10

type Tolerance

float

rtype

None

ConstraintDerivative()¶

Returns the derivative of the constraint matrix.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Parameters

type Parameters

math_Vector

param Deg

type Deg

int

param DA

type DA

math_Matrix

rtype

math_Matrix

ConstraintMatrix()¶

Return type: math_Matrix

Duale()¶

returns the duale variables of the system.

rtype

math_Vector

InverseMatrix()¶

returns the Inverse of Cont*Transposed(Cont), where Cont is the constraint matrix for the algorithm.

rtype

math_Matrix

IsDone()¶

returns True if all has been correctly done.

rtype

bool

property thisown¶: The membership flag

class BRepApprox_ResConstraintOfMyGradientbisOfTheComputeLineOfApprox(*args)¶

Bases: object

Given a MultiLine SSP with constraints points, this algorithm finds the best curve solution to approximate it. The poles from SCurv issued for example from the least squares are used as a guess solution for the uzawa algorithm. The tolerance used in the Uzawa algorithms is Tolerance. A is the Bernstein matrix associated to the MultiLine and DA is the derivative bernstein matrix.(They can come from an approximation with ParLeastSquare.) The MultiCurve is modified. New MultiPoles are given.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param SCurv

type SCurv

AppParCurves_MultiCurve

param FirstPoint

type FirstPoint

int

param LastPoint

type LastPoint

int

param Constraints

type Constraints

AppParCurves_HArray1OfConstraintCouple

param Bern

type Bern

math_Matrix

param DerivativeBern

type DerivativeBern

math_Matrix

param Tolerance

default value is 1.0e-10

type Tolerance

float

rtype

None

ConstraintDerivative()¶

Returns the derivative of the constraint matrix.

param SSP

type SSP

BRepApprox_TheMultiLineOfApprox

param Parameters

type Parameters

math_Vector

param Deg

type Deg

int

param DA

type DA

math_Matrix

rtype

math_Matrix

ConstraintMatrix()¶

Return type: math_Matrix

Duale()¶

returns the duale variables of the system.

rtype

math_Vector

InverseMatrix()¶

returns the Inverse of Cont*Transposed(Cont), where Cont is the constraint matrix for the algorithm.

rtype

math_Matrix

IsDone()¶

returns True if all has been correctly done.

rtype

bool

property thisown¶: The membership flag

class BRepApprox_TheComputeLineBezierOfApprox(*args)¶

Bases: object

The MultiLine <Line> will be approximated until tolerances will be reached. The approximation will be done from degreemin to degreemax with a cutting if the corresponding boolean is True. If <Squares> is True, the computation will be done with no iteration at all.

param Line

type Line

BRepApprox_TheMultiLineOfApprox

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-3

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-6

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param parametrization

default value is Approx_ChordLength

type parametrization

Approx_ParametrizationType

param Squares

default value is Standard_False

type Squares

bool

rtype

None* The MultiLine <Line> will be approximated until tolerances will be reached. The approximation will be done from degreemin to degreemax with a cutting if the corresponding boolean is True. If <Squares> is True, the computation will be done with no iteration at all.

param Line

type Line

BRepApprox_TheMultiLineOfApprox

param Parameters

type Parameters

math_Vector

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param Squares

default value is Standard_False

type Squares

bool

rtype

None* Initializes the fields of the algorithm.

param Parameters

type Parameters

math_Vector

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param Squares

default value is Standard_False

type Squares

bool

rtype

None* Initializes the fields of the algorithm.

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param parametrization

default value is Approx_ChordLength

type parametrization

Approx_ParametrizationType

param Squares

default value is Standard_False

type Squares

bool

rtype

None

ChangeValue()¶

returns the result of the approximation.

param Index

default value is 1

type Index

int

rtype

AppParCurves_MultiCurve

Error()¶

returns the tolerances 2d and 3d of the <Index> MultiCurve.

param Index

type Index

int

param tol3d

type tol3d

float

param tol2d

type tol2d

float

rtype

None

Init()¶

Initializes the fields of the algorithm.

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param parametrization

default value is Approx_ChordLength

type parametrization

Approx_ParametrizationType

param Squares

default value is Standard_False

type Squares

bool

rtype

None

IsAllApproximated()¶

returns False if at a moment of the approximation, the status NoApproximation has been sent by the user when more points were needed.

rtype

bool

IsToleranceReached()¶

returns False if the status NoPointsAdded has been sent.

rtype

bool

NbMultiCurves()¶

Returns the number of MultiCurve doing the approximation of the MultiLine.

rtype

int

Parameters()¶

returns the new parameters of the approximation corresponding to the points of the multicurve <Index>.

param Index

default value is 1

type Index

int

rtype

TColStd_Array1OfReal

Parametrization()¶

returns the type of parametrization

rtype

Approx_ParametrizationType

Perform()¶

runs the algorithm after having initialized the fields.

param Line

type Line

BRepApprox_TheMultiLineOfApprox

rtype

None

SetConstraints()¶

changes the first and the last constraint points.

param firstC

type firstC

AppParCurves_Constraint

param lastC

type lastC

AppParCurves_Constraint

rtype

None

SetDegrees()¶

changes the degrees of the approximation.

param degreemin

type degreemin

int

param degreemax

type degreemax

int

rtype

None

SetTolerances()¶

Changes the tolerances of the approximation.

param Tolerance3d

type Tolerance3d

float

param Tolerance2d

type Tolerance2d

float

rtype

None

SplineValue()¶

returns the result of the approximation.

rtype

AppParCurves_MultiBSpCurve

Value()¶

returns the result of the approximation.

param Index

default value is 1

type Index

int

rtype

AppParCurves_MultiCurve

property thisown¶: The membership flag

class BRepApprox_TheComputeLineOfApprox(*args)¶

Bases: object

The MultiLine <Line> will be approximated until tolerances will be reached. The approximation will be done from degreemin to degreemax with a cutting if the corresponding boolean is True. If <Squares> is True, the computation will be done with no iteration at all. //! The multiplicities of the internal knots is set by default.

param Line

type Line

BRepApprox_TheMultiLineOfApprox

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-3

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-6

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param parametrization

default value is Approx_ChordLength

type parametrization

Approx_ParametrizationType

param Squares

default value is Standard_False

type Squares

bool

rtype

None* The MultiLine <Line> will be approximated until tolerances will be reached. The approximation will be done from degreemin to degreemax with a cutting if the corresponding boolean is True. If <Squares> is True, the computation will be done with no iteration at all.

param Line

type Line

BRepApprox_TheMultiLineOfApprox

param Parameters

type Parameters

math_Vector

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param Squares

default value is Standard_False

type Squares

bool

rtype

None* Initializes the fields of the algorithm.

param Parameters

type Parameters

math_Vector

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param Squares

default value is Standard_False

type Squares

bool

rtype

None* Initializes the fields of the algorithm.

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param parametrization

default value is Approx_ChordLength

type parametrization

Approx_ParametrizationType

param Squares

default value is Standard_False

type Squares

bool

rtype

None

ChangeValue()¶

returns the result of the approximation.

rtype

AppParCurves_MultiBSpCurve

Error()¶

returns the tolerances 2d and 3d of the MultiBSpCurve.

param tol3d

type tol3d

float

param tol2d

type tol2d

float

rtype

None

Init()¶

Initializes the fields of the algorithm.

param degreemin

default value is 4

type degreemin

int

param degreemax

default value is 8

type degreemax

int

param Tolerance3d

default value is 1.0e-03

type Tolerance3d

float

param Tolerance2d

default value is 1.0e-06

type Tolerance2d

float

param NbIterations

default value is 5

type NbIterations

int

param cutting

default value is Standard_True

type cutting

bool

param parametrization

default value is Approx_ChordLength

type parametrization

Approx_ParametrizationType

param Squares

default value is Standard_False

type Squares

bool

rtype

None

Interpol()¶

Constructs an interpolation of the MultiLine <Line> The result will be a C2 curve of degree 3.

param Line

type Line

BRepApprox_TheMultiLineOfApprox

rtype

None

IsAllApproximated()¶

returns False if at a moment of the approximation, the status NoApproximation has been sent by the user when more points were needed.

rtype

bool

IsToleranceReached()¶

returns False if the status NoPointsAdded has been sent.

rtype

bool

Parameters()¶

returns the new parameters of the approximation corresponding to the points of the MultiBSpCurve.

rtype

TColStd_Array1OfReal

Perform()¶

runs the algorithm after having initialized the fields.

param Line

type Line

BRepApprox_TheMultiLineOfApprox

rtype

None

SetConstraints()¶

changes the first and the last constraint points.

param firstC

type firstC

AppParCurves_Constraint

param lastC

type lastC

AppParCurves_Constraint

rtype

None

SetContinuity()¶

sets the continuity of the spline. if C = 2, the spline will be C2.

param C

type C

int

rtype

None

SetDegrees()¶

changes the degrees of the approximation.

param degreemin

type degreemin

int

param degreemax

type degreemax

int

rtype

None

SetKnots()¶

The approximation will be done with the set of knots <Knots>. The multiplicities will be set with the degree and the desired continuity.

param Knots

type Knots

TColStd_Array1OfReal

rtype

None

SetKnotsAndMultiplicities()¶

The approximation will be done with the set of knots <Knots> and the multiplicities <Mults>.

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

rtype

None

SetParameters()¶

The approximation will begin with the set of parameters <ThePar>.

param ThePar

type ThePar

math_Vector

rtype

None

SetPeriodic()¶

Sets periodic flag. If thePeriodic = Standard_True, algorith tries to build periodic multicurve using corresponding C1 boundary condition for first and last multipoints. Multiline must be closed.

param thePeriodic

type thePeriodic

bool

rtype

None

SetTolerances()¶

Changes the tolerances of the approximation.

param Tolerance3d

type Tolerance3d

float

param Tolerance2d

type Tolerance2d

float

rtype

None

Value()¶

returns the result of the approximation.

rtype

AppParCurves_MultiBSpCurve

property thisown¶: The membership flag

class BRepApprox_TheFunctionOfTheInt2SOfThePrmPrmSvSurfacesOfApprox(*args)¶

Bases: OCC.Core.math.math_FunctionSetWithDerivatives

Parameters

S1 –

type S1: BRepAdaptor_Surface
param S2
type S2: BRepAdaptor_Surface
rtype: None

AuxillarSurface1()¶

Return type: BRepAdaptor_Surface

AuxillarSurface2()¶

Return type: BRepAdaptor_Surface

ComputeParameters()¶

Parameters

ChoixIso –

type ChoixIso: IntImp_ConstIsoparametric
param Param
type Param: TColStd_Array1OfReal
param UVap
type UVap: math_Vector
param BornInf
type BornInf: math_Vector
param BornSup
type BornSup: math_Vector
param Tolerance
type Tolerance: math_Vector
rtype: None

Direction()¶

Return type: gp_Dir

DirectionOnS1()¶

Return type: gp_Dir2d

DirectionOnS2()¶

Return type: gp_Dir2d

IsTangent()¶

Parameters

UVap –

type UVap: math_Vector
param Param
type Param: TColStd_Array1OfReal
param BestChoix
type BestChoix: IntImp_ConstIsoparametric
rtype: bool

Point()¶

Return type: gp_Pnt

Root()¶

returns somme des fi*fi

rtype

float

property thisown¶: The membership flag

class BRepApprox_TheImpPrmSvSurfacesOfApprox(*args)¶

Bases: OCC.Core.ApproxInt.ApproxInt_SvSurfaces

Parameters

Surf1 –

type Surf1: BRepAdaptor_Surface
param Surf2
type Surf2: IntSurf_Quadric
rtype: None:param Surf1:
type Surf1: IntSurf_Quadric
param Surf2
type Surf2: BRepAdaptor_Surface
rtype: None

property thisown¶: The membership flag

class BRepApprox_TheInt2SOfThePrmPrmSvSurfacesOfApprox(*args)¶

Bases: object

compute the solution point with the close point

param Param

type Param

TColStd_Array1OfReal

param S1

type S1

BRepAdaptor_Surface

param S2

type S2

BRepAdaptor_Surface

param TolTangency

type TolTangency

float

rtype

None* initialize the parameters to compute the solution point it ‘s possible to write to optimize: IntImp_Int2S inter(S1,S2,Func,TolTangency); math_FunctionSetRoot rsnld(inter.Function()); while …{ Param(1)=… Param(2)=… param(3)=… inter.Perform(Param,rsnld); }

param S1

type S1

BRepAdaptor_Surface

param S2

type S2

BRepAdaptor_Surface

param TolTangency

type TolTangency

float

rtype

None

ChangePoint()¶

return the intersection point which is enable for changing.

rtype

IntSurf_PntOn2S

Direction()¶

Returns the tangent at the intersection line.

rtype

gp_Dir

DirectionOnS1()¶

Returns the tangent at the intersection line in the parametric space of the first surface.

rtype

gp_Dir2d

DirectionOnS2()¶

Returns the tangent at the intersection line in the parametric space of the second surface.

rtype

gp_Dir2d

Function()¶

return the math function which is used to compute the intersection

rtype

BRepApprox_TheFunctionOfTheInt2SOfThePrmPrmSvSurfacesOfApprox

IsDone()¶

Returns True if the creation completed without failure.

rtype

bool

IsEmpty()¶

Returns True when there is no solution to the problem.

rtype

bool

IsTangent()¶

Returns True if the surfaces are tangent at the intersection point.

rtype

bool

Perform()¶

returns the best constant isoparametric to find the next intersection’s point +stores the solution point (the solution point is found with the close point to intersect the isoparametric with the other patch; the choice of the isoparametic is calculated)

param Param

type Param

TColStd_Array1OfReal

param Rsnld

type Rsnld

math_FunctionSetRoot

rtype

IntImp_ConstIsoparametric* returns the best constant isoparametric to find the next intersection’s point +stores the solution point (the solution point is found with the close point to intersect the isoparametric with the other patch; the choice of the isoparametic is given by ChoixIso)

param Param

type Param

TColStd_Array1OfReal

param Rsnld

type Rsnld

math_FunctionSetRoot

param ChoixIso

type ChoixIso

IntImp_ConstIsoparametric

rtype

IntImp_ConstIsoparametric

Point()¶

Returns the intersection point.

rtype

IntSurf_PntOn2S

property thisown¶: The membership flag

class BRepApprox_TheMultiLineOfApprox(*args)¶

Bases: object

Return type: None* The class SvSurfaces is used when the approximation algorithm needs some extra points on the line <line>. A New line is then created which shares the same surfaces and functions. SvSurfaces is a deferred class which allows several implementations of this algorithm with different surfaces (bi-parametric ones, or implicit and biparametric ones) :param line: :type line: BRepApprox_ApproxLine :param PtrSvSurfaces: :type PtrSvSurfaces: Standard_Address :param NbP3d: :type NbP3d: int :param NbP2d: :type NbP2d: int :param ApproxU1V1: :type ApproxU1V1: bool :param ApproxU2V2: :type ApproxU2V2: bool :param xo: :type xo: float :param yo: :type yo: float :param zo: :type zo: float :param u1o: :type u1o: float :param v1o: :type v1o: float :param u2o: :type u2o: float :param v2o: :type v2o: float :param P2DOnFirst: :type P2DOnFirst: bool :param IndMin: default value is 0 :type IndMin: int :param IndMax: default value is 0 :type IndMax: int :rtype: None* No Extra points will be added on the current line :param line: :type line: BRepApprox_ApproxLine :param NbP3d: :type NbP3d: int :param NbP2d: :type NbP2d: int :param ApproxU1V1: :type ApproxU1V1: bool :param ApproxU2V2: :type ApproxU2V2: bool :param xo: :type xo: float :param yo: :type yo: float :param zo: :type zo: float :param u1o: :type u1o: float :param v1o: :type v1o: float :param u2o: :type u2o: float :param v2o: :type v2o: float :param P2DOnFirst: :type P2DOnFirst: bool :param IndMin: default value is 0 :type IndMin: int :param IndMax: default value is 0 :type IndMax: int :rtype: None

Dump()¶

Dump of the current multi-line.

rtype

None

FirstPoint()¶

Return type: int

LastPoint()¶

Return type: int

MakeMLBetween()¶

Tries to make a sub-line between <Low> and <High> points of this line by adding <NbPointsToInsert> new points

param Low

type Low

int

param High

type High

int

param NbPointsToInsert

type NbPointsToInsert

int

rtype

BRepApprox_TheMultiLineOfApprox

MakeMLOneMorePoint()¶

Tries to make a sub-line between <Low> and <High> points of this line by adding one more point between (indbad-1)-th and indbad-th points

param Low

type Low

int

param High

type High

int

param indbad

type indbad

int

param OtherLine

type OtherLine

BRepApprox_TheMultiLineOfApprox

rtype

bool

NbP2d()¶

Returns the number of 2d points of a TheLine.

rtype

int

NbP3d()¶

Returns the number of 3d points of a TheLine.

rtype

int

Tangency()¶

Returns the 3d tangency points of the multipoint <MPointIndex> only when 3d points exist.

param MPointIndex

type MPointIndex

int

param tabV

type tabV

TColgp_Array1OfVec

rtype

bool* Returns the 2d tangency points of the multipoint <MPointIndex> only when 2d points exist.

param MPointIndex

type MPointIndex

int

param tabV2d

type tabV2d

TColgp_Array1OfVec2d

rtype

bool* Returns the 3d and 2d points of the multipoint <MPointIndex>.

param MPointIndex

type MPointIndex

int

param tabV

type tabV

TColgp_Array1OfVec

param tabV2d

type tabV2d

TColgp_Array1OfVec2d

rtype

bool

Value()¶

Returns the 3d points of the multipoint <MPointIndex> when only 3d points exist.

param MPointIndex

type MPointIndex

int

param tabPt

type tabPt

TColgp_Array1OfPnt

rtype

None* Returns the 2d points of the multipoint <MPointIndex> when only 2d points exist.

param MPointIndex

type MPointIndex

int

param tabPt2d

type tabPt2d

TColgp_Array1OfPnt2d

rtype

None* Returns the 3d and 2d points of the multipoint <MPointIndex>.

param MPointIndex

type MPointIndex

int

param tabPt

type tabPt

TColgp_Array1OfPnt

param tabPt2d

type tabPt2d

TColgp_Array1OfPnt2d

rtype

None

WhatStatus()¶

Return type: Approx_Status

property thisown¶: The membership flag

class BRepApprox_TheMultiLineToolOfApprox¶

Bases: object

static Curvature()¶

returns the 3d curvature of the multipoint <MPointIndex> when only 3d points exist.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabV

type tabV

TColgp_Array1OfVec

rtype

bool* returns the 2d curvature points of the multipoint <MPointIndex> only when 2d points exist.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabV2d

type tabV2d

TColgp_Array1OfVec2d

rtype

bool* returns the 3d and 2d curvature of the multipoint <MPointIndex>.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabV

type tabV

TColgp_Array1OfVec

param tabV2d

type tabV2d

TColgp_Array1OfVec2d

rtype

bool

static Dump()¶

Dump of the current multi-line.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

rtype

None

static FirstPoint()¶

Returns the number of multipoints of the TheMultiLine.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

rtype

int

static LastPoint()¶

Returns the number of multipoints of the TheMultiLine.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

rtype

int

static MakeMLBetween()¶

Is called if WhatStatus returned ‘PointsAdded’.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param I1

type I1

int

param I2

type I2

int

param NbPMin

type NbPMin

int

rtype

BRepApprox_TheMultiLineOfApprox

static MakeMLOneMorePoint()¶

Is called when the Bezier curve contains a loop

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param I1

type I1

int

param I2

type I2

int

param indbad

type indbad

int

param OtherLine

type OtherLine

BRepApprox_TheMultiLineOfApprox

rtype

bool

static NbP2d()¶

Returns the number of 2d points of a TheMultiLine.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

rtype

int

static NbP3d()¶

Returns the number of 3d points of a TheMultiLine.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

rtype

int

static Tangency()¶

returns the 3d points of the multipoint <MPointIndex> when only 3d points exist.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabV

type tabV

TColgp_Array1OfVec

rtype

bool* returns the 2d tangency points of the multipoint <MPointIndex> only when 2d points exist.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabV2d

type tabV2d

TColgp_Array1OfVec2d

rtype

bool* returns the 3d and 2d points of the multipoint <MPointIndex>.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabV

type tabV

TColgp_Array1OfVec

param tabV2d

type tabV2d

TColgp_Array1OfVec2d

rtype

bool

static Value()¶

returns the 3d points of the multipoint <MPointIndex> when only 3d points exist.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabPt

type tabPt

TColgp_Array1OfPnt

rtype

None* returns the 2d points of the multipoint <MPointIndex> when only 2d points exist.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabPt2d

type tabPt2d

TColgp_Array1OfPnt2d

rtype

None* returns the 3d and 2d points of the multipoint <MPointIndex>.

param ML

type ML

BRepApprox_TheMultiLineOfApprox

param MPointIndex

type MPointIndex

int

param tabPt

type tabPt

TColgp_Array1OfPnt

param tabPt2d

type tabPt2d

TColgp_Array1OfPnt2d

rtype

None

static WhatStatus()¶

Parameters

ML –

type ML: BRepApprox_TheMultiLineOfApprox
param I1
type I1: int
param I2
type I2: int
rtype: Approx_Status

property thisown¶: The membership flag

class BRepApprox_ThePrmPrmSvSurfacesOfApprox(*args)¶

Bases: OCC.Core.ApproxInt.ApproxInt_SvSurfaces

Parameters

Surf1 –

type Surf1: BRepAdaptor_Surface
param Surf2
type Surf2: BRepAdaptor_Surface
rtype: None

property thisown¶: The membership flag

class BRepApprox_TheZerImpFuncOfTheImpPrmSvSurfacesOfApprox(*args)¶

Bases: OCC.Core.math.math_FunctionSetWithDerivatives

Return type: None:param PS: :type PS: BRepAdaptor_Surface :param IS: :type IS: IntSurf_Quadric :rtype: None:param IS: :type IS: IntSurf_Quadric :rtype: None

Direction2d()¶

Return type: gp_Dir2d

Direction3d()¶

Return type: gp_Vec

ISurface()¶

Return type: IntSurf_Quadric

IsTangent()¶

Return type: bool

PSurface()¶

Return type: BRepAdaptor_Surface

Point()¶

Return type: gp_Pnt

Root()¶

Return type: float

Set()¶

Parameters

PS –

type PS: BRepAdaptor_Surface
rtype: None:param Tolerance:
type Tolerance: float
rtype: None

SetImplicitSurface()¶

Parameters

IS –

type IS: IntSurf_Quadric
rtype: None

Tolerance()¶

Returns the value Tol so that if Abs(Func.Root())<Tol the function is considered null.

rtype

float

property thisown¶: The membership flag

class SwigPyIterator(*args, **kwargs)¶

Bases: object

advance()¶

copy()¶

decr()¶

distance()¶

equal()¶

incr()¶

next()¶

previous()¶

property thisown¶: The membership flag

value()¶