Open CASCADE Technology: GeomFill_Pipe Class Reference

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GeomFill_Pipe Class Reference

Describes functions to construct pipes. A pipe is built by sweeping a curve (the section) along another curve (the path). The Pipe class provides the following types of construction: More...

`#include <GeomFill_Pipe.hxx>`

## Public Member Functions
| GeomFill_Pipe ()
| Constructs an empty algorithm for building pipes. Use the function Init to initialize it. More...
| GeomFill_Pipe (const Handle< Geom_Curve > &Path, const Standard_Real Radius)
| GeomFill_Pipe (const Handle< Geom_Curve > &Path, const Handle< Geom_Curve > &FirstSect, const GeomFill_Trihedron Option=GeomFill_IsCorrectedFrenet)
| Create a pipe with a constant section (<FirstSection>) and a path (<Path>) Option can be - GeomFill_IsCorrectedFrenet. More...
| GeomFill_Pipe (const Handle< Geom2d_Curve > &Path, const Handle< Geom_Surface > &Support, const Handle< Geom_Curve > &FirstSect)
| Create a pipe with a constant section (<FirstSection>) and a path defined by <Path> and <Support> More...
| GeomFill_Pipe (const Handle< Geom_Curve > &Path, const Handle< Geom_Curve > &FirstSect, const gp_Dir &Dir)
| Create a pipe with a constant section (<FirstSection>) and a path <Path> and a fixed binormal direction <Dir> More...
| GeomFill_Pipe (const Handle< Geom_Curve > &Path, const Handle< Geom_Curve > &FirstSect, const Handle< Geom_Curve > &LastSect)
| Create a pipe with an evolving section The section evoluate from First to Last Section. More...
| GeomFill_Pipe (const Handle< Geom_Curve > &Path, const TColGeom_SequenceOfCurve &NSections)
| Create a pipe with N sections The section evoluate from First to Last Section. More...
| GeomFill_Pipe (const Handle< Geom_Curve > &Path, const Handle< Geom_Curve > &Curve1, const Handle< Geom_Curve > &Curve2, const Standard_Real Radius)
| Create a pipe with a constant radius with 2 guide-line. More...
| GeomFill_Pipe (const Handle< Adaptor3d_HCurve > &Path, const Handle< Adaptor3d_HCurve > &Curve1, const Handle< Adaptor3d_HCurve > &Curve2, const Standard_Real Radius)
| Create a pipe with a constant radius with 2 guide-line. More...
| GeomFill_Pipe (const Handle< Geom_Curve > &Path, const Handle< Adaptor3d_HCurve > &Guide, const Handle< Geom_Curve > &FirstSect, const Standard_Boolean ByACR, const Standard_Boolean rotat)
| Create a pipe with a constant section and with 1 guide-line. Use the function Perform to build the surface. All standard specific cases are detected in order to construct, according to the respective geometric nature of Path and the sections, a planar, cylindrical, conical, spherical or toroidal surface, a surface of linear extrusion or a surface of revolution. In the general case, the result is a BSpline surface (NURBS) built by approximation of a series of sections where: More...
void | Init (const Handle< Geom_Curve > &Path, const Standard_Real Radius)
void | Init (const Handle< Geom_Curve > &Path, const Handle< Geom_Curve > &FirstSect, const GeomFill_Trihedron Option=GeomFill_IsCorrectedFrenet)
void | Init (const Handle< Geom2d_Curve > &Path, const Handle< Geom_Surface > &Support, const Handle< Geom_Curve > &FirstSect)
void | Init (const Handle< Geom_Curve > &Path, const Handle< Geom_Curve > &FirstSect, const gp_Dir &Dir)
void | Init (const Handle< Geom_Curve > &Path, const Handle< Geom_Curve > &FirstSect, const Handle< Geom_Curve > &LastSect)
void | Init (const Handle< Geom_Curve > &Path, const TColGeom_SequenceOfCurve &NSections)
void | Init (const Handle< Adaptor3d_HCurve > &Path, const Handle< Adaptor3d_HCurve > &Curve1, const Handle< Adaptor3d_HCurve > &Curve2, const Standard_Real Radius)
| Create a pipe with a constant radius with 2 guide-line. More...
void | Init (const Handle< Geom_Curve > &Path, const Handle< Adaptor3d_HCurve > &Guide, const Handle< Geom_Curve > &FirstSect, const Standard_Boolean ByACR, const Standard_Boolean rotat)
| Initializes this pipe algorithm to build the following surface: More...
void | Perform (const Standard_Boolean WithParameters=Standard_False, const Standard_Boolean myPolynomial=Standard_False)
| Builds the pipe defined at the time of initialization of this algorithm. A description of the resulting surface is given under Constructors. If WithParameters (defaulted to false) is set to true, the approximation algorithm (used only in the general case of construction of a BSpline surface) builds the surface with a u parameter corresponding to the one of the path. Exceptions Standard_ConstructionError if a surface cannot be constructed from the data. Warning: It is the old Perform method, the next methode is recommended. More...
void | Perform (const Standard_Real Tol, const Standard_Boolean Polynomial, const GeomAbs_Shape Conti=GeomAbs_C1, const Standard_Integer MaxDegree=11, const Standard_Integer NbMaxSegment=30)
| detects the particular cases. And compute the surface. if none particular case is detected we make an approximation with respect of the Tolerance <Tol>, the continuty <Conti>, the maximum degree <MaxDegree>, the maximum number of span <NbMaxSegment> and the spine parametrization. If we can't create a surface with the data More...
const Handle< Geom_Surface > & | Surface () const
| Returns the surface built by this algorithm. Warning Do not use this function before the surface is built (in this case the function will return a null handle). More...
Standard_Boolean | ExchangeUV () const
| The u parametric direction of the surface constructed by this algorithm usually corresponds to the evolution along the path and the v parametric direction corresponds to the evolution along the section(s). However, this rule is not respected when constructing certain specific Geom surfaces (typically cylindrical surfaces, surfaces of revolution, etc.) for which the parameterization is inversed. The ExchangeUV function checks for this, and returns true in all these specific cases. Warning Do not use this function before the surface is built. More...
void | GenerateParticularCase (const Standard_Boolean B)
| Sets a flag to try to create as many planes, cylinder,... as possible. Default value is <Standard_False>. More...
Standard_Boolean | GenerateParticularCase () const
| Returns the flag. More...
Standard_Real | ErrorOnSurf () const
| Returns the approximation's error. if the Surface is plane, cylinder ... this error can be 0. More...

## Detailed Description

Describes functions to construct pipes. A pipe is built by sweeping a curve (the section) along another curve (the path). The Pipe class provides the following types of construction:

- pipes with a circular section of constant radius,
- pipes with a constant section,
- pipes with a section evolving between two given curves. All standard specific cases are detected in order to build, where required, a plane, cylinder, cone, sphere, torus, surface of linear extrusion or surface of revolution. Generally speaking, the result is a BSpline surface (NURBS). A Pipe object provides a framework for:
- defining the pipe to be built,
- implementing the construction algorithm, and
- consulting the resulting surface. There are several methods to instantiate a Pipe: 1) give a path and a radius : the section is a circle. This location is the first point of the path, and this direction is the first derivate (calculate at the first point ) of the path.

2) give a path and a section. Differtent options are available 2.a) Use the classical Frenet trihedron

- or the CorrectedFrenet trihedron (To avoid twisted surface)
- or a constant trihedron to have all the sections in a same plane 2.b) Define a ConstantBinormal Direction to keep the same angle beetween the Direction and the sections along the sweep surface. 2.c) Define the path by a surface and a 2dcurve, the surface is used to define the trihedron's normal. It is usefull to keep a constant angle beetween input surface and the pipe. – 3) give a path and two sections. The section evoluate from First to Last Section.

3) give a path and N sections. The section evoluate from First to Last Section.

In general case the result is a NURBS. But we can generate plane, cylindrical, spherical, conical, toroidal surface in some particular case.

The natural parametrization of the result is:

U-Direction along the section. V-Direction along the path.

But, in some particular case, the surface must be construct otherwise. The method "EchangeUV" return false in such cases.

## Constructor & Destructor Documentation

GeomFill_Pipe::GeomFill_Pipe | ( |  | ) |

Constructs an empty algorithm for building pipes. Use the function Init to initialize it.

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom_Curve > & | Path,
|  | const Standard_Real | Radius
| ) |  |

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const GeomFill_Trihedron | Option = `GeomFill_IsCorrectedFrenet`
| ) |  |

Create a pipe with a constant section (<FirstSection>) and a path (<Path>) Option can be - GeomFill_IsCorrectedFrenet.

- GeomFill_IsFrenet
- GeomFill_IsConstant

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom2d_Curve > & | Path,
|  | const Handle< Geom_Surface > & | Support,
|  | const Handle< Geom_Curve > & | FirstSect
| ) |  |

Create a pipe with a constant section (<FirstSection>) and a path defined by <Path> and <Support>

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const gp_Dir & | Dir
| ) |  |

Create a pipe with a constant section (<FirstSection>) and a path <Path> and a fixed binormal direction <Dir>

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const Handle< Geom_Curve > & | LastSect
| ) |  |

Create a pipe with an evolving section The section evoluate from First to Last Section.

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom_Curve > & | Path,
|  | const TColGeom_SequenceOfCurve & | NSections
| ) |  |

Create a pipe with N sections The section evoluate from First to Last Section.

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Geom_Curve > & | Curve1,
|  | const Handle< Geom_Curve > & | Curve2,
|  | const Standard_Real | Radius
| ) |  |

Create a pipe with a constant radius with 2 guide-line.

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Adaptor3d_HCurve > & | Path,
|  | const Handle< Adaptor3d_HCurve > & | Curve1,
|  | const Handle< Adaptor3d_HCurve > & | Curve2,
|  | const Standard_Real | Radius
| ) |  |

Create a pipe with a constant radius with 2 guide-line.

GeomFill_Pipe::GeomFill_Pipe | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Adaptor3d_HCurve > & | Guide,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const Standard_Boolean | ByACR,
|  | const Standard_Boolean | rotat
| ) |  |

Create a pipe with a constant section and with 1 guide-line. Use the function Perform to build the surface. All standard specific cases are detected in order to construct, according to the respective geometric nature of Path and the sections, a planar, cylindrical, conical, spherical or toroidal surface, a surface of linear extrusion or a surface of revolution. In the general case, the result is a BSpline surface (NURBS) built by approximation of a series of sections where:

- the number of sections N is chosen automatically by the algorithm according to the respective geometries of Path and the sections. N is greater than or equal to 2;
- N points Pi (with i in the range [ 1,N ]) are defined at regular intervals along the curve Path from its first point to its end point. At each point Pi, a coordinate system Ti is computed with Pi as origin, and with the tangential and normal vectors to Path defining two of its coordinate axes. In the case of a pipe with a constant circular section, the first section is a circle of radius Radius centered on the origin of Path and whose "Z Axis" is aligned along the vector tangential to the origin of Path. In the case of a pipe with a constant section, the first section is the curve FirstSect. In these two cases, the ith section (for values of i greater than 1) is obtained by applying to a copy of this first section the geometric transformation which transforms coordinate system T1 into coordinate system Ti. In the case of an evolving section, N-2 intermediate curves Si are first computed (if N is greater than 2, and with i in the range [ 2,N-1 ]) whose geometry evolves regularly from the curve S1=FirstSect to the curve SN=LastSect. The first section is FirstSect, and the ith section (for values of i greater than 1) is obtained by applying to the curve Si the geometric transformation which transforms coordinate system T1 into coordinate system Ti.

## Member Function Documentation

Standard_Real GeomFill_Pipe::ErrorOnSurf | ( |  | ) | const

Returns the approximation's error. if the Surface is plane, cylinder ... this error can be 0.

Standard_Boolean GeomFill_Pipe::ExchangeUV | ( |  | ) | const

The u parametric direction of the surface constructed by this algorithm usually corresponds to the evolution along the path and the v parametric direction corresponds to the evolution along the section(s). However, this rule is not respected when constructing certain specific Geom surfaces (typically cylindrical surfaces, surfaces of revolution, etc.) for which the parameterization is inversed. The ExchangeUV function checks for this, and returns true in all these specific cases. Warning Do not use this function before the surface is built.

void GeomFill_Pipe::GenerateParticularCase | ( | const Standard_Boolean | B | ) |

Sets a flag to try to create as many planes, cylinder,... as possible. Default value is <Standard_False>.

Standard_Boolean GeomFill_Pipe::GenerateParticularCase | ( |  | ) | const

Returns the flag.

void GeomFill_Pipe::Init | ( | const Handle< Geom_Curve > & | Path,
|  | const Standard_Real | Radius
| ) |  |

void GeomFill_Pipe::Init | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const GeomFill_Trihedron | Option = `GeomFill_IsCorrectedFrenet`
| ) |  |

void GeomFill_Pipe::Init | ( | const Handle< Geom2d_Curve > & | Path,
|  | const Handle< Geom_Surface > & | Support,
|  | const Handle< Geom_Curve > & | FirstSect
| ) |  |

void GeomFill_Pipe::Init | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const gp_Dir & | Dir
| ) |  |

void GeomFill_Pipe::Init | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const Handle< Geom_Curve > & | LastSect
| ) |  |

void GeomFill_Pipe::Init | ( | const Handle< Geom_Curve > & | Path,
|  | const TColGeom_SequenceOfCurve & | NSections
| ) |  |

void GeomFill_Pipe::Init | ( | const Handle< Adaptor3d_HCurve > & | Path,
|  | const Handle< Adaptor3d_HCurve > & | Curve1,
|  | const Handle< Adaptor3d_HCurve > & | Curve2,
|  | const Standard_Real | Radius
| ) |  |

Create a pipe with a constant radius with 2 guide-line.

void GeomFill_Pipe::Init | ( | const Handle< Geom_Curve > & | Path,
|  | const Handle< Adaptor3d_HCurve > & | Guide,
|  | const Handle< Geom_Curve > & | FirstSect,
|  | const Standard_Boolean | ByACR,
|  | const Standard_Boolean | rotat
| ) |  |

Initializes this pipe algorithm to build the following surface:

- a pipe with a constant circular section of radius Radius along the path Path, or
- a pipe with constant section FirstSect along the path Path, or
- a pipe where the section evolves from FirstSect to LastSect along the path Path. Use the function Perform to build the surface. Note: a description of the resulting surface is given under Constructors.

void GeomFill_Pipe::Perform | ( | const Standard_Boolean | WithParameters = `Standard_False`,
|  | const Standard_Boolean | myPolynomial = `Standard_False`
| ) |  |

Builds the pipe defined at the time of initialization of this algorithm. A description of the resulting surface is given under Constructors. If WithParameters (defaulted to false) is set to true, the approximation algorithm (used only in the general case of construction of a BSpline surface) builds the surface with a u parameter corresponding to the one of the path. Exceptions Standard_ConstructionError if a surface cannot be constructed from the data. Warning: It is the old Perform method, the next methode is recommended.

void GeomFill_Pipe::Perform | ( | const Standard_Real | Tol,
|  | const Standard_Boolean | Polynomial,
|  | const GeomAbs_Shape | Conti = `GeomAbs_C1`,
|  | const Standard_Integer | MaxDegree = `11`,
|  | const Standard_Integer | NbMaxSegment = `30`
| ) |  |

detects the particular cases. And compute the surface. if none particular case is detected we make an approximation with respect of the Tolerance <Tol>, the continuty <Conti>, the maximum degree <MaxDegree>, the maximum number of span <NbMaxSegment> and the spine parametrization. If we can't create a surface with the data

const Handle< Geom_Surface >& GeomFill_Pipe::Surface | ( |  | ) | const

Returns the surface built by this algorithm. Warning Do not use this function before the surface is built (in this case the function will return a null handle).

The documentation for this class was generated from the following file:

- GeomFill_Pipe.hxx