mrmeshpy.EdgeLengthMesh Class Reference

Public Member Functions
None	__init__ (self)
None	__init__ (self, EdgeLengthMesh arg0)
None	__init__ (self, MeshTopology topology, UndirectedEdgeScalars edgeLengths)
float	cotan (self, UndirectedEdgeId ue)
float	edgeLengthAfterFlip (self, Id_EdgeTag e)
bool	flipEdge (self, Id_EdgeTag e)
bool	isDelone (self, UndirectedEdgeId ue, float threshold=0)
float	leftCotan (self, Id_EdgeTag e)

Static Public Member Functions
EdgeLengthMesh	fromMesh (Mesh mesh)

Detailed Description

Generated from:  MR::EdgeLengthMesh

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.
\\ingroup MeshGroup

Constructor & Destructor Documentation

__init__() [1/3]

None mrmeshpy.EdgeLengthMesh.__init__

(

self

)

Implicit default constructor.

__init__() [2/3]

None mrmeshpy.EdgeLengthMesh.__init__	(		self,
		EdgeLengthMesh	arg0 )

Implicit copy constructor.

__init__() [3/3]

None mrmeshpy.EdgeLengthMesh.__init__	(		self,
		MeshTopology	topology,
		UndirectedEdgeScalars	edgeLengths )

Implicit aggregate constructor.

Member Function Documentation

cotan()

float mrmeshpy.EdgeLengthMesh.cotan	(		self,
		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

edgeLengthAfterFlip()

float mrmeshpy.EdgeLengthMesh.edgeLengthAfterFlip	(		self,
		Id_EdgeTag	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

flipEdge()

bool mrmeshpy.EdgeLengthMesh.flipEdge	(		self,
		Id_EdgeTag	e )

given the edge with left and right triangular faces, which form together a quadrangle,
rotates the edge counter-clockwise inside the quadrangle;
the length of e becomes equal to the length of geodesic line between its new ends on original mesh;
does not flip and returns false if the geodesic line does not go fully inside the quadrangle

fromMesh()

EdgeLengthMesh mrmeshpy.EdgeLengthMesh.fromMesh ( Mesh mesh )

static

construct EdgeLengthMesh from an ordinary mesh

isDelone()

bool mrmeshpy.EdgeLengthMesh.isDelone	(		self,
		UndirectedEdgeId	ue,
		float	threshold = 0 )

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

leftCotan()

float mrmeshpy.EdgeLengthMesh.leftCotan	(		self,
		Id_EdgeTag	e )

computes cotangent of the angle in the left( e ) triangle opposite to e,
and returns 0 if left face does not exist

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

• mrmeshpy.pyi