MR.Const_EdgeLengthMesh Class Reference

Unlike the classic mesh that stores coordinates of its vertices, this class stores the lengths of all edges. It can be used for construction of intrinsic Intrinsic Delaunay Triangulations. Generated from class MR.EdgeLengthMesh. This is the const half of the class. More...

Inheritance diagram for MR.Const_EdgeLengthMesh:

Classes
struct	_Underlying

Public Member Functions
virtual void	Dispose ()
unsafe	Const_EdgeLengthMesh ()
	Constructs an empty (default-constructed) instance.
unsafe	Const_EdgeLengthMesh (MR._ByValue_MeshTopology topology, MR._ByValue_UndirectedEdgeScalars edgeLengths)
	Constructs MR.EdgeLengthMesh elementwise.
unsafe	Const_EdgeLengthMesh (MR._ByValue_EdgeLengthMesh _other)
	Generated from constructor MR.EdgeLengthMesh.EdgeLengthMesh.
	Const_EdgeLengthMesh (Const_EdgeLengthMesh _other)
	Generated from constructor MR.EdgeLengthMesh.EdgeLengthMesh.
	Const_EdgeLengthMesh (EdgeLengthMesh _other)
	Generated from constructor MR.EdgeLengthMesh.EdgeLengthMesh.
unsafe float	leftCotan (MR.EdgeId e)
	computes cotangent of the angle in the left( e ) triangle opposite to e, and returns 0 if left face does not exist Generated from method MR.EdgeLengthMesh.leftCotan.
unsafe float	cotan (MR.UndirectedEdgeId ue)
	computes sum of cotangents of the angle in the left and right triangles opposite to given edge, consider cotangents zero for not existing triangles Generated from method MR.EdgeLengthMesh.cotan.
unsafe bool	isDelone (MR.UndirectedEdgeId ue, float? threshold=null)
	returns true if given edge satisfies Delaunay conditions, returns false if the edge needs to be flipped to satisfy Delaunay conditions, passing negative threshold makes more edges satisfy Delaunay conditions Generated from method MR.EdgeLengthMesh.isDelone. Parameter threshold defaults to 0.
unsafe MR.Std.Optional_Float	edgeLengthAfterFlip (MR.EdgeId e)
	given the edge with left and right triangular faces, which form together a quadrangle, returns the length of geodesic line on original mesh between the vertices of the quadrangle opposite to given edge; returns std::nullopt if the geodesic line does not go fully inside the quadrangle Generated from method MR.EdgeLengthMesh.edgeLengthAfterFlip.

Static Public Member Functions
static unsafe MR.EdgeLengthMesh	fromMesh (MR.Const_Mesh mesh)
	construct EdgeLengthMesh from an ordinary mesh Generated from method MR.EdgeLengthMesh.fromMesh.

Protected Member Functions
virtual unsafe void	Dispose (bool disposing)

Properties
unsafe MR.Const_MeshTopology	topology [get, protected set]
unsafe MR.Const_UndirectedEdgeScalars	edgeLengths [get, protected set]

Detailed Description

Unlike the classic mesh that stores coordinates of its vertices, this class stores the lengths of all edges. It can be used for construction of intrinsic Intrinsic Delaunay Triangulations. Generated from class MR.EdgeLengthMesh. This is the const half of the class.

Constructor & Destructor Documentation

Const_EdgeLengthMesh() [1/5]

unsafe MR.Const_EdgeLengthMesh.Const_EdgeLengthMesh ( )

inline

Constructs an empty (default-constructed) instance.

Const_EdgeLengthMesh() [2/5]

unsafe MR.Const_EdgeLengthMesh.Const_EdgeLengthMesh ( MR._ByValue_MeshTopology topology, MR._ByValue_UndirectedEdgeScalars edgeLengths )

inline

Constructs MR.EdgeLengthMesh elementwise.

Const_EdgeLengthMesh() [3/5]

unsafe MR.Const_EdgeLengthMesh.Const_EdgeLengthMesh ( MR._ByValue_EdgeLengthMesh _other )

inline

Generated from constructor MR.EdgeLengthMesh.EdgeLengthMesh.

Const_EdgeLengthMesh() [4/5]

MR.Const_EdgeLengthMesh.Const_EdgeLengthMesh ( Const_EdgeLengthMesh _other )

inline

Generated from constructor MR.EdgeLengthMesh.EdgeLengthMesh.

Const_EdgeLengthMesh() [5/5]

MR.Const_EdgeLengthMesh.Const_EdgeLengthMesh ( EdgeLengthMesh _other )

inline

Generated from constructor MR.EdgeLengthMesh.EdgeLengthMesh.

Member Function Documentation

cotan()

unsafe float MR.Const_EdgeLengthMesh.cotan ( MR.UndirectedEdgeId ue )

inline

computes sum of cotangents of the angle in the left and right triangles opposite to given edge, consider cotangents zero for not existing triangles Generated from method MR.EdgeLengthMesh.cotan.

Dispose() [1/2]

virtual void MR.Const_EdgeLengthMesh.Dispose ( )

inlinevirtual

Dispose() [2/2]

virtual unsafe void MR.Const_EdgeLengthMesh.Dispose ( bool disposing )

inlineprotectedvirtual

edgeLengthAfterFlip()

unsafe MR.Std.Optional_Float MR.Const_EdgeLengthMesh.edgeLengthAfterFlip ( MR.EdgeId e )

inline

given the edge with left and right triangular faces, which form together a quadrangle, returns the length of geodesic line on original mesh between the vertices of the quadrangle opposite to given edge; returns std::nullopt if the geodesic line does not go fully inside the quadrangle Generated from method MR.EdgeLengthMesh.edgeLengthAfterFlip.

fromMesh()

unsafe MR.EdgeLengthMesh MR.Const_EdgeLengthMesh.fromMesh ( MR.Const_Mesh mesh )

inlinestatic

construct EdgeLengthMesh from an ordinary mesh Generated from method MR.EdgeLengthMesh.fromMesh.

isDelone()

unsafe bool MR.Const_EdgeLengthMesh.isDelone ( MR.UndirectedEdgeId ue, float? threshold = null )

inline

returns true if given edge satisfies Delaunay conditions, returns false if the edge needs to be flipped to satisfy Delaunay conditions, passing negative threshold makes more edges satisfy Delaunay conditions Generated from method MR.EdgeLengthMesh.isDelone. Parameter threshold defaults to 0.

leftCotan()

unsafe float MR.Const_EdgeLengthMesh.leftCotan ( MR.EdgeId e )

inline

computes cotangent of the angle in the left( e ) triangle opposite to e, and returns 0 if left face does not exist Generated from method MR.EdgeLengthMesh.leftCotan.

Property Documentation

edgeLengths

unsafe MR.Const_UndirectedEdgeScalars MR.Const_EdgeLengthMesh.edgeLengths

getprotected set

topology

unsafe MR.Const_MeshTopology MR.Const_EdgeLengthMesh.topology

getprotected set

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

• MREdgeLengthMesh.cs