# FoundationClasses
TKMath
Poly

# Poly_Triangulation Class Reference

Provides a triangulation for a surface, a set of surfaces, or
more generally a shape.
A triangulation consists of an approximate representation
of the actual shape, using a collection of points and
triangles. The points are located on the surface. The
edges of the triangles connect adjacent points with a
straight line that approximates the true curve on the surface.
A triangulation comprises:
- A table of 3D nodes (3D points on the surface).
- A table of triangles. Each triangle (Poly_Triangle
object) comprises a triplet of indices in the table of 3D
nodes specific to the triangulation.
- A table of 2D nodes (2D points), parallel to the table of
3D nodes. This table is optional. If it exists, the
coordinates of a 2D point are the (u, v) parameters
of the corresponding 3D point on the surface
approximated by the triangulation.
- A deflection (optional), which maximizes the distance
from a point on the surface to the corresponding point
on its approximate triangulation.
In many cases, algorithms do not need to work with the
exact representation of a surface. A triangular
representation induces simpler and more robust adjusting,
faster performances, and the results are as good.
.

`#include <Poly_Triangulation.hxx>`

Inheritance diagram for Poly_Triangulation:

[legend]

## Public Member Functions

Standard_EXPORT | Poly_Triangulation (const Standard_Integer nbNodes, const Standard_Integer nbTriangles, const Standard_Boolean UVNodes)
| Constructs a triangulation from a set of triangles. The triangulation is initialized without a triangle or a node, but capable of containing nbNodes nodes, and nbTriangles triangles. Here the UVNodes flag indicates whether 2D nodes will be associated with 3D ones, (i.e. to enable a 2D representation). .
Standard_EXPORT | Poly_Triangulation (const TColgp_Array1OfPnt &Nodes, const Poly_Array1OfTriangle &Triangles)
| Constructs a triangulation from a set of triangles. The triangulation is initialized with 3D points from Nodes and triangles from Triangles. .
Standard_EXPORT | Poly_Triangulation (const TColgp_Array1OfPnt &Nodes, const TColgp_Array1OfPnt2d &UVNodes, const Poly_Array1OfTriangle &Triangles)
| Constructs a triangulation from a set of triangles. The triangulation is initialized with 3D points from Nodes, 2D points from UVNodes and triangles from Triangles, where coordinates of a 2D point from UVNodes are the (u, v) parameters of the corresponding 3D point from Nodes on the surface approximated by the constructed triangulation. .
Standard_EXPORT Standard_Real | Deflection () const
| Returns the deflection of this triangulation. .
Standard_EXPORT void | Deflection (const Standard_Real D)
| Sets the deflection of this triangulation to D. See more on deflection in Polygon2D .
Standard_EXPORT void | RemoveUVNodes ()
| Deallocates the UV nodes. .
Standard_Integer | NbNodes () const
| Returns the number of nodes for this triangulation. Null if the nodes are not yet defined. .
Standard_Integer | NbTriangles () const
| Returns the number of triangles for this triangulation. Null if the Triangles are not yet defined. .
Standard_Boolean | HasUVNodes () const
| Returns true if 2D nodes are associated with 3D nodes for this triangulation. .
Standard_EXPORT const TColgp_Array1OfPnt & | Nodes () const
| Returns the table of 3D nodes (3D points) for this triangulation. .
Standard_EXPORT TColgp_Array1OfPnt & | ChangeNodes ()
| Returns the table of 3D nodes (3D points) for this triangulation. The returned array is shared. Therefore if the table is selected by reference, you can, by simply modifying it, directly modify the data structure of this triangulation. .
Standard_EXPORT const TColgp_Array1OfPnt2d & | UVNodes () const
| Returns the table of 2D nodes (2D points) associated with each 3D node of this triangulation. The function HasUVNodes checks if 2D nodes are associated with the 3D nodes of this triangulation. Const reference on the 2d nodes values. .
Standard_EXPORT TColgp_Array1OfPnt2d & | ChangeUVNodes ()
| Returns the table of 2D nodes (2D points) associated with each 3D node of this triangulation. Function ChangeUVNodes shares the returned array. Therefore if the table is selected by reference, you can, by simply modifying it, directly modify the data structure of this triangulation. .
Standard_EXPORT const Poly_Array1OfTriangle & | Triangles () const
| Returns the table of triangles for this triangulation. .
Standard_EXPORT Poly_Array1OfTriangle & | ChangeTriangles ()
| Returns the table of triangles for this triangulation. Function ChangeUVNodes shares the returned array. Therefore if the table is selected by reference, you can, by simply modifying it, directly modify the data structure of this triangulation. .
Standard_EXPORT void | SetNormals (const Handle(TShort_HArray1OfShortReal)&theNormals)
| Sets the table of node normals. raises exception if length of theNormals != 3*NbNodes .
Standard_EXPORT const TShort_Array1OfShortReal & | Normals () const
Standard_EXPORT TShort_Array1OfShortReal & | ChangeNormals ()
Standard_EXPORT Standard_Boolean | HasNormals () const
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const

## Private Attributes

Standard_Real | myDeflection
Standard_Integer | myNbNodes
Standard_Integer | myNbTriangles
TColgp_Array1OfPnt | myNodes
Handle_TColgp_HArray1OfPnt2d | myUVNodes
Poly_Array1OfTriangle | myTriangles
Handle_TShort_HArray1OfShortReal | myNormals

## Constructor & Destructor Documentation

Standard_EXPORT Poly_Triangulation::Poly_Triangulation | ( | const Standard_Integer | nbNodes,
|  | const Standard_Integer | nbTriangles,
|  | const Standard_Boolean | UVNodes
| ) |

Standard_EXPORT Poly_Triangulation::Poly_Triangulation | ( | const TColgp_Array1OfPnt & | Nodes,
|  | const Poly_Array1OfTriangle & | Triangles
| ) |

Standard_EXPORT Poly_Triangulation::Poly_Triangulation | ( | const TColgp_Array1OfPnt & | Nodes,
|  | const TColgp_Array1OfPnt2d & | UVNodes,
|  | const Poly_Array1OfTriangle & | Triangles
| ) |

## Member Function Documentation

Standard_EXPORT TColgp_Array1OfPnt& Poly_Triangulation::ChangeNodes | ( |  | ) |

Standard_EXPORT TShort_Array1OfShortReal& Poly_Triangulation::ChangeNormals | ( |  | ) |

Standard_EXPORT Poly_Array1OfTriangle& Poly_Triangulation::ChangeTriangles | ( |  | ) |

Standard_EXPORT TColgp_Array1OfPnt2d& Poly_Triangulation::ChangeUVNodes | ( |  | ) |

Standard_EXPORT void Poly_Triangulation::Deflection | ( | const Standard_Real | D | ) |

Standard_EXPORT Standard_Real Poly_Triangulation::Deflection | ( |  | ) | const

Standard_EXPORT const Poly_Triangulation::Handle | ( | Standard_Type |  | ) | const

| Reimplemented from MMgt_TShared.

Standard_EXPORT Standard_Boolean Poly_Triangulation::HasNormals | ( |  | ) | const

Standard_Boolean Poly_Triangulation::HasUVNodes | ( |  | ) | const`[inline]`

Standard_Integer Poly_Triangulation::NbNodes | ( |  | ) | const`[inline]`

Standard_Integer Poly_Triangulation::NbTriangles | ( |  | ) | const`[inline]`

Standard_EXPORT const TColgp_Array1OfPnt& Poly_Triangulation::Nodes | ( |  | ) | const

Standard_EXPORT const TShort_Array1OfShortReal& Poly_Triangulation::Normals | ( |  | ) | const

Standard_EXPORT void Poly_Triangulation::RemoveUVNodes | ( |  | ) |

Standard_EXPORT void Poly_Triangulation::SetNormals | ( | const Handle(TShort_HArray1OfShortReal)& | theNormals | ) |

Standard_EXPORT const Poly_Array1OfTriangle& Poly_Triangulation::Triangles | ( |  | ) | const

Standard_EXPORT const TColgp_Array1OfPnt2d& Poly_Triangulation::UVNodes | ( |  | ) | const

## Field Documentation

Standard_Real Poly_Triangulation::myDeflection `[private]`

Standard_Integer Poly_Triangulation::myNbNodes `[private]`

Standard_Integer Poly_Triangulation::myNbTriangles `[private]`

TColgp_Array1OfPnt Poly_Triangulation::myNodes `[private]`

Handle_TShort_HArray1OfShortReal Poly_Triangulation::myNormals `[private]`

Poly_Array1OfTriangle Poly_Triangulation::myTriangles `[private]`

Handle_TColgp_HArray1OfPnt2d Poly_Triangulation::myUVNodes `[private]`

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

- Poly_Triangulation.hxx
- Poly_Triangulation.lxx