This class represents a mesh, including topology (connectivity) information and point coordinates, as well as some caches to accelerate search algorithms Generated from class MR.Mesh. This is the const half of the class. More...

Inheritance diagram for MR.Const_Mesh:

Classes
struct	_Underlying

struct	_UnderlyingShared

Public Member Functions
virtual void	Dispose ()

unsafe	Const_Mesh ()
	Constructs an empty (default-constructed) instance.

unsafe	Const_Mesh (MR._ByValue_Mesh _other)
	Generated from constructor `MR.Mesh.Mesh`.

unsafe MR.Vector3f	orgPnt (MR.EdgeId e)
	returns coordinates of the edge origin Generated from method `MR.Mesh.orgPnt`.

unsafe MR.Vector3f	destPnt (MR.EdgeId e)
	returns coordinates of the edge destination Generated from method `MR.Mesh.destPnt`.

unsafe MR.Vector3f	edgeVector (MR.EdgeId e)
	returns vector equal to edge destination point minus edge origin point Generated from method `MR.Mesh.edgeVector`.

unsafe MR.LineSegm3f	edgeSegment (MR.EdgeId e)
	returns line segment of given edge Generated from method `MR.Mesh.edgeSegment`.

unsafe MR.Vector3f	edgePoint (MR.EdgeId e, float f)
	returns a point on the edge: origin point for f=0 and destination point for f=1 Generated from method `MR.Mesh.edgePoint`.

unsafe MR.Vector3f	edgePoint (MR.Const_EdgePoint ep)
	computes coordinates of point given as edge and relative position on it Generated from method `MR.Mesh.edgePoint`.

unsafe MR.Vector3f	edgeCenter (MR.UndirectedEdgeId e)
	computes the center of given edge Generated from method `MR.Mesh.edgeCenter`.

unsafe void	getLeftTriPoints (MR.EdgeId e, ref MR.Vector3f v0, ref MR.Vector3f v1, ref MR.Vector3f v2)
	returns three points of left face of e: v0 = orgPnt( e ), v1 = destPnt( e ) Generated from method `MR.Mesh.getLeftTriPoints`.

unsafe MR.Std.Array_MRVector3f_3	getLeftTriPoints (MR.EdgeId e)
	returns three points of left face of e: res[0] = orgPnt( e ), res[1] = destPnt( e ) Generated from method `MR.Mesh.getLeftTriPoints`.

unsafe void	getTriPoints (MR.FaceId f, ref MR.Vector3f v0, ref MR.Vector3f v1, ref MR.Vector3f v2)
	returns three points of given face Generated from method `MR.Mesh.getTriPoints`.

unsafe MR.Std.Array_MRVector3f_3	getTriPoints (MR.FaceId f)
	returns three points of given face Generated from method `MR.Mesh.getTriPoints`.

unsafe MR.Vector3f	triPoint (MR.Const_MeshTriPoint p)
	computes coordinates of point given as face and barycentric representation Generated from method `MR.Mesh.triPoint`.

unsafe MR.Vector3f	triCenter (MR.FaceId f)
	returns the centroid of given triangle Generated from method `MR.Mesh.triCenter`.

unsafe float	triangleAspectRatio (MR.FaceId f)
	returns aspect ratio of given mesh triangle equal to the ratio of the circum-radius to twice its in-radius Generated from method `MR.Mesh.triangleAspectRatio`.

unsafe float	circumcircleDiameterSq (MR.FaceId f)
	returns squared circumcircle diameter of given mesh triangle Generated from method `MR.Mesh.circumcircleDiameterSq`.

unsafe float	circumcircleDiameter (MR.FaceId f)
	returns circumcircle diameter of given mesh triangle Generated from method `MR.Mesh.circumcircleDiameter`.

unsafe MR.MeshTriPoint	toTriPoint (MR.VertId v)
	converts vertex into barycentric representation Generated from method `MR.Mesh.toTriPoint`.

unsafe MR.MeshTriPoint	toTriPoint (MR.FaceId f, in MR.Vector3f p)
	converts face id and 3d point into barycentric representation Generated from method `MR.Mesh.toTriPoint`.

unsafe MR.MeshTriPoint	toTriPoint (MR.Const_PointOnFace p)
	converts face id and 3d point into barycentric representation Generated from method `MR.Mesh.toTriPoint`.

unsafe MR.EdgePoint	toEdgePoint (MR.VertId v)
	converts vertex into edge-point representation Generated from method `MR.Mesh.toEdgePoint`.

unsafe MR.EdgePoint	toEdgePoint (MR.EdgeId e, in MR.Vector3f p)
	converts edge and 3d point into edge-point representation Generated from method `MR.Mesh.toEdgePoint`.

unsafe MR.VertId	getClosestVertex (MR.Const_PointOnFace p)
	returns one of three face vertices, closest to given point Generated from method `MR.Mesh.getClosestVertex`.

unsafe MR.VertId	getClosestVertex (MR.Const_MeshTriPoint p)
	returns one of three face vertices, closest to given point Generated from method `MR.Mesh.getClosestVertex`.

unsafe MR.UndirectedEdgeId	getClosestEdge (MR.Const_PointOnFace p)
	returns one of three face edges, closest to given point Generated from method `MR.Mesh.getClosestEdge`.

unsafe MR.UndirectedEdgeId	getClosestEdge (MR.Const_MeshTriPoint p)
	returns one of three face edges, closest to given point Generated from method `MR.Mesh.getClosestEdge`.

unsafe float	edgeLength (MR.UndirectedEdgeId e)
	returns Euclidean length of the edge Generated from method `MR.Mesh.edgeLength`.

unsafe MR.UndirectedEdgeScalars	edgeLengths ()
	computes and returns the lengths of all edges in the mesh Generated from method `MR.Mesh.edgeLengths`.

unsafe float	edgeLengthSq (MR.UndirectedEdgeId e)
	returns squared Euclidean length of the edge (faster to compute than length) Generated from method `MR.Mesh.edgeLengthSq`.

unsafe MR.Vector3f	leftDirDblArea (MR.EdgeId e)
	computes directed double area of left triangular face of given edge Generated from method `MR.Mesh.leftDirDblArea`.

unsafe MR.Vector3f	dirDblArea (MR.FaceId f)
	computes directed double area for a triangular face from its vertices Generated from method `MR.Mesh.dirDblArea`.

unsafe float	dblArea (MR.FaceId f)
	returns twice the area of given face Generated from method `MR.Mesh.dblArea`.

unsafe float	area (MR.FaceId f)
	returns the area of given face Generated from method `MR.Mesh.area`.

unsafe double	area (MR.Const_FaceBitSet? fs=null)
	computes the area of given face-region (or whole mesh) Generated from method `MR.Mesh.area`.

unsafe MR.Vector3d	dirArea (MR.Const_FaceBitSet? fs=null)
	computes the sum of directed areas for faces from given region (or whole mesh) Generated from method `MR.Mesh.dirArea`.

unsafe double	projArea (in MR.Vector3f dir, MR.Const_FaceBitSet? fs=null)
	computes the sum of absolute projected area of faces from given region (or whole mesh) as visible if look from given direction Generated from method `MR.Mesh.projArea`.

unsafe double	volume (MR.Const_FaceBitSet? region=null)
	returns volume of the object surrounded by given region (or whole mesh if (region) is nullptr); if the region has holes then each hole will be virtually filled by adding triangles for each edge and the hole's geometrical center Generated from method `MR.Mesh.volume`.

unsafe double	holePerimeter (MR.EdgeId e)
	computes the perimeter of the hole specified by one of its edges with no valid left face (left is hole) Generated from method `MR.Mesh.holePerimeter`.

unsafe MR.Vector3d	holeDirArea (MR.EdgeId e)
	computes directed area of the hole specified by one of its edges with no valid left face (left is hole); if the hole is planar then returned vector is orthogonal to the plane pointing outside and its magnitude is equal to hole area Generated from method `MR.Mesh.holeDirArea`.

unsafe MR.Vector3f	leftTangent (MR.EdgeId e)
	computes unit vector that is both orthogonal to given edge and to the normal of its left triangle, the vector is directed inside left triangle Generated from method `MR.Mesh.leftTangent`.

unsafe MR.Vector3f	leftNormal (MR.EdgeId e)
	computes triangular face normal from its vertices Generated from method `MR.Mesh.leftNormal`.

unsafe MR.Vector3f	normal (MR.FaceId f)
	computes triangular face normal from its vertices Generated from method `MR.Mesh.normal`.

unsafe MR.Plane3f	getPlane3f (MR.FaceId f)
	returns the plane containing given triangular face with normal looking outwards Generated from method `MR.Mesh.getPlane3f`.

unsafe MR.Plane3d	getPlane3d (MR.FaceId f)
	Generated from method `MR.Mesh.getPlane3d`.

unsafe MR.Vector3f	dirDblArea (MR.VertId v)
	computes sum of directed double areas of all triangles around given vertex Generated from method `MR.Mesh.dirDblArea`.

unsafe float	dblArea (MR.VertId v)
	computes the length of summed directed double areas of all triangles around given vertex Generated from method `MR.Mesh.dblArea`.

unsafe MR.Vector3f	normal (MR.VertId v)
	computes normal in a vertex using sum of directed areas of neighboring triangles Generated from method `MR.Mesh.normal`.

unsafe MR.Vector3f	normal (MR.Const_MeshTriPoint p)
	computes normal in three vertices of p's triangle, then interpolates them using barycentric coordinates and normalizes again; this is the same normal as in rendering with smooth shading Generated from method `MR.Mesh.normal`.

unsafe MR.Vector3f	pseudonormal (MR.VertId v, MR.Const_FaceBitSet? region=null)
	computes angle-weighted sum of normals of incident faces of given vertex (only (region) faces will be considered); the sum is normalized before returning Generated from method `MR.Mesh.pseudonormal`.

unsafe MR.Vector3f	pseudonormal (MR.UndirectedEdgeId e, MR.Const_FaceBitSet? region=null)
	computes normalized half sum of face normals sharing given edge (only (region) faces will be considered); Generated from method `MR.Mesh.pseudonormal`.

unsafe MR.Vector3f	pseudonormal (MR.Const_MeshTriPoint p, MR.Const_FaceBitSet? region=null)
	returns pseudonormal in corresponding face/edge/vertex for signed distance calculation as suggested in the article "Signed Distance Computation Using the Angle Weighted Pseudonormal" by J. Andreas Baerentzen and Henrik Aanaes, https://backend.orbit.dtu.dk/ws/portalfiles/portal/3977815/B_rentzen.pdf unlike normal( const MeshTriPoint & p ), this is not a smooth function Generated from method `MR.Mesh.pseudonormal`.

unsafe float	signedDistance (in MR.Vector3f pt, MR.Const_MeshProjectionResult proj, MR.Const_FaceBitSet? region=null)
	given a point (pt) in 3D and the closest point to in on mesh (proj),

unsafe float	signedDistance (in MR.Vector3f pt)
	given a point (pt) in 3D, computes the closest point on mesh, and

unsafe MR.Std.Optional_Float	signedDistance (in MR.Vector3f pt, float maxDistSq, MR.Const_FaceBitSet? region=null)
	given a point (pt) in 3D, computes the closest point on mesh, and

unsafe float	calcFastWindingNumber (in MR.Vector3f pt, float? beta=null)
	computes generalized winding number in a point (pt), which is

unsafe bool	isOutside (in MR.Vector3f pt, float? windingNumberThreshold=null, float? beta=null)
	computes whether a point (pt) is located outside the object surrounded by this mesh using generalized winding number

unsafe bool	isOutsideByProjNorm (in MR.Vector3f pt, MR.Const_MeshProjectionResult proj, MR.Const_FaceBitSet? region=null)
	computes whether a point (pt) is located outside the object surrounded by this mesh using pseudonormal at the closest point to in on mesh (proj); this method works much faster than isOutside but can return wrong sign if the closest point is located on self-intersecting part of the mesh Generated from method `MR.Mesh.isOutsideByProjNorm`.

unsafe float	sumAngles (MR.VertId v, MR.Misc.InOut< bool >? outBoundaryVert=null)
	computes the sum of triangle angles at given vertex; optionally returns whether the vertex is on boundary Generated from method `MR.Mesh.sumAngles`.

unsafe MR.VertBitSet	findSpikeVertices (float minSumAngle, MR.Const_VertBitSet? region=null, MR.Std.Const_Function_BoolFuncFromFloat? cb=null)
	returns vertices where the sum of triangle angles is below given threshold Generated from method `MR.Mesh.findSpikeVertices`. Parameter `cb` defaults to `{}`.

unsafe float	dihedralAngleSin (MR.UndirectedEdgeId e)
	given an edge between two triangular faces, computes sine of dihedral angle between them: 0 if both faces are in the same plane, positive if the faces form convex surface, negative if the faces form concave surface Generated from method `MR.Mesh.dihedralAngleSin`.

unsafe float	dihedralAngleCos (MR.UndirectedEdgeId e)
	given an edge between two triangular faces, computes cosine of dihedral angle between them: 1 if both faces are in the same plane, 0 if the surface makes right angle turn at the edge, -1 if the faces overlap one another Generated from method `MR.Mesh.dihedralAngleCos`.

unsafe float	dihedralAngle (MR.UndirectedEdgeId e)
	given an edge between two triangular faces, computes the dihedral angle between them: 0 if both faces are in the same plane, positive if the faces form convex surface, negative if the faces form concave surface; please consider the usage of faster dihedralAngleSin(e) and dihedralAngleCos(e) Generated from method `MR.Mesh.dihedralAngle`.

unsafe float	discreteMeanCurvature (MR.VertId v)
	computes discrete mean curvature in given vertex, measures in length^-1; 0 for planar regions, positive for convex surface, negative for concave surface Generated from method `MR.Mesh.discreteMeanCurvature`.

unsafe float	discreteMeanCurvature (MR.UndirectedEdgeId e)
	computes discrete mean curvature in given edge, measures in length^-1; 0 for planar regions, positive for convex surface, negative for concave surface Generated from method `MR.Mesh.discreteMeanCurvature`.

unsafe float	discreteGaussianCurvature (MR.VertId v, MR.Misc.InOut< bool >? outBoundaryVert=null)
	computes discrete Gaussian curvature (or angle defect) at given vertex, which 0 in inner vertices on planar mesh parts and reaches 2*pi on needle's tip, see http://math.uchicago.edu/~may/REU2015/REUPapers/Upadhyay.pdf optionally returns whether the vertex is on boundary Generated from method `MR.Mesh.discreteGaussianCurvature`.

unsafe MR.UndirectedEdgeBitSet	findCreaseEdges (float angleFromPlanar)
	finds all mesh edges where dihedral angle is distinct from planar PI angle on at least given value Generated from method `MR.Mesh.findCreaseEdges`.

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.Mesh.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.Mesh.cotan`.

unsafe MR.QuadraticForm3f	quadraticForm (MR.VertId v, bool angleWeigted, MR.Const_FaceBitSet? region=null, MR.Const_UndirectedEdgeBitSet? creases=null)
	computes quadratic form in the vertex as the sum of squared distances from 1) planes of adjacent triangles, with the weight equal to the angle of adjacent triangle at this vertex divided on PI in case of angleWeigted=true; 2) lines of adjacent boundary and crease edges Generated from method `MR.Mesh.quadraticForm`.

unsafe MR.Box3f	getBoundingBox ()
	returns the bounding box containing all valid vertices (implemented via getAABBTree()) this bounding box is insignificantly bigger that minimal box due to AABB algorithms precision Generated from method `MR.Mesh.getBoundingBox`.

unsafe MR.Box3f	computeBoundingBox (MR.AffineXf3f? toWorld=null)
	passes through all valid vertices and finds the minimal bounding box containing all of them; if toWorld transformation is given then returns minimal bounding box in world space Generated from method `MR.Mesh.computeBoundingBox`.

unsafe MR.Box3f	computeBoundingBox (MR.Const_FaceBitSet? region, MR.AffineXf3f? toWorld=null)
	passes through all given faces (or whole mesh if region == null) and finds the minimal bounding box containing all of them if toWorld transformation is given then returns minimal bounding box in world space Generated from method `MR.Mesh.computeBoundingBox`.

unsafe float	averageEdgeLength ()
	computes average length of an edge in this mesh Generated from method `MR.Mesh.averageEdgeLength`.

unsafe MR.Vector3f	findCenterFromPoints ()
	computes average position of all valid mesh vertices Generated from method `MR.Mesh.findCenterFromPoints`.

unsafe MR.Vector3f	findCenterFromFaces ()
	computes center of mass considering that density of all triangles is the same Generated from method `MR.Mesh.findCenterFromFaces`.

unsafe MR.Vector3f	findCenterFromBBox ()
	computes bounding box and returns its center Generated from method `MR.Mesh.findCenterFromBBox`.

unsafe MR.Mesh	cloneRegion (MR.Const_FaceBitSet region, bool? flipOrientation=null, MR.Const_PartMapping? map=null)
	creates new mesh from given triangles of this mesh Generated from method `MR.Mesh.cloneRegion`. Parameter `flipOrientation` defaults to `false`. Parameter `map` defaults to `{}`.

unsafe bool	projectPoint (in MR.Vector3f point, MR.PointOnFace res, float? maxDistSq=null, MR.Const_FaceBitSet? region=null, MR.AffineXf3f? xf=null)
	finds the closest mesh point on this mesh (or its region) to given point;

unsafe bool	projectPoint (in MR.Vector3f point, MR.MeshProjectionResult res, float? maxDistSq=null, MR.Const_FaceBitSet? region=null, MR.AffineXf3f? xf=null)
	finds the closest mesh point on this mesh (or its region) to given point;

unsafe bool	findClosestPoint (in MR.Vector3f point, MR.MeshProjectionResult res, float? maxDistSq=null, MR.Const_FaceBitSet? region=null, MR.AffineXf3f? xf=null)
	Generated from method `MR.Mesh.findClosestPoint`. Parameter `maxDistSq` defaults to `3.40282347e38f`.

unsafe MR.MeshProjectionResult	projectPoint (in MR.Vector3f point, float? maxDistSq=null, MR.Const_FaceBitSet? region=null, MR.AffineXf3f? xf=null)
	finds the closest mesh point on this mesh (or its region) to given point;

unsafe MR.MeshProjectionResult	findClosestPoint (in MR.Vector3f point, float? maxDistSq=null, MR.Const_FaceBitSet? region=null, MR.AffineXf3f? xf=null)
	Generated from method `MR.Mesh.findClosestPoint`. Parameter `maxDistSq` defaults to `3.40282347e38f`.

unsafe MR.Const_AABBTree	getAABBTree ()
	returns cached aabb-tree for this mesh, creating it if it did not exist in a thread-safe manner Generated from method `MR.Mesh.getAABBTree`.

unsafe MR.? Const_AABBTree	getAABBTreeNotCreate ()
	returns cached aabb-tree for this mesh, but does not create it if it did not exist Generated from method `MR.Mesh.getAABBTreeNotCreate`.

unsafe MR.Const_AABBTreePoints	getAABBTreePoints ()
	returns cached aabb-tree for points of this mesh, creating it if it did not exist in a thread-safe manner Generated from method `MR.Mesh.getAABBTreePoints`.

unsafe MR.? Const_AABBTreePoints	getAABBTreePointsNotCreate ()
	returns cached aabb-tree for points of this mesh, but does not create it if it did not exist Generated from method `MR.Mesh.getAABBTreePointsNotCreate`.

unsafe MR.Const_Dipoles	getDipoles ()
	returns cached dipoles of aabb-tree nodes for this mesh, creating it if it did not exist in a thread-safe manner Generated from method `MR.Mesh.getDipoles`.

unsafe MR.? Const_Dipoles	getDipolesNotCreate ()
	returns cached dipoles of aabb-tree nodes for this mesh, but does not create it if it did not exist Generated from method `MR.Mesh.getDipolesNotCreate`.

unsafe ulong	heapBytes ()
	Generated from method `MR.Mesh.heapBytes`.

bool	Equals (MR.Const_Mesh? b)

override bool	Equals (object? other)

Static Public Member Functions
static unsafe MR.Mesh	fromTriangles (MR._ByValue_VertCoords vertexCoordinates, MR.Const_Triangulation t, MR.MeshBuilder.Const_BuildSettings? settings=null, MR.Std._ByValue_Function_BoolFuncFromFloat? cb=null)
	construct mesh from vertex coordinates and a set of triangles with given ids Generated from method `MR.Mesh.fromTriangles`. Parameter `settings` defaults to `{}`. Parameter `cb` defaults to `{}`.

static unsafe MR.Mesh	fromTriMesh (MR.Misc._Moved< MR.TriMesh > triMesh, MR.MeshBuilder.Const_BuildSettings? settings=null, MR.Std._ByValue_Function_BoolFuncFromFloat? cb=null)
	construct mesh from TriMesh representation Generated from method `MR.Mesh.fromTriMesh`. Parameter `settings` defaults to `{}`. Parameter `cb` defaults to `{}`.

static unsafe MR.Mesh	fromTrianglesDuplicatingNonManifoldVertices (MR._ByValue_VertCoords vertexCoordinates, MR.Triangulation t, MR.Std.Vector_MRMeshBuilderVertDuplication? dups=null, MR.MeshBuilder.Const_BuildSettings? settings=null)
	construct mesh from vertex coordinates and a set of triangles with given ids; unlike simple fromTriangles() it tries to resolve non-manifold vertices by creating duplicate vertices Generated from method `MR.Mesh.fromTrianglesDuplicatingNonManifoldVertices`. Parameter `settings` defaults to `{}`.

static unsafe MR.Mesh	fromFaceSoup (MR._ByValue_VertCoords vertexCoordinates, MR.Std.Const_Vector_MRVertId verts, MR.Const_Vector_MRMeshBuilderVertSpan_MRFaceId faces, MR.MeshBuilder.Const_BuildSettings? settings=null, MR.Std._ByValue_Function_BoolFuncFromFloat? cb=null)
	construct mesh from vertex coordinates and construct mesh topology from face soup, where each face can have arbitrary degree (not only triangles); all non-triangular faces will be automatically subdivided on triangles Generated from method `MR.Mesh.fromFaceSoup`. Parameter `settings` defaults to `{}`. Parameter `cb` defaults to `{}`.

static unsafe MR.Mesh	fromPointTriples (MR.Std.Const_Vector_StdArrayMRVector3f3 posTriples, bool duplicateNonManifoldVertices)
	construct mesh from point triples;

static unsafe bool	operator== (MR.Const_Mesh _this, MR.Const_Mesh b)
	compare that two meshes are exactly the same Generated from method `MR.Mesh.operator==`.

static unsafe bool	operator!= (MR.Const_Mesh _this, MR.Const_Mesh b)

Protected Member Functions
unsafe void	_LateMakeShared (_Underlying *ptr)

virtual unsafe void	Dispose (bool disposing)

Properties
override unsafe bool	_IsOwning `[get]`
	Check if the underlying shared pointer is owning or not.

unsafe MR.Const_MeshTopology	topology `[get]`

unsafe MR.Const_VertCoords	points `[get]`

Properties inherited from MR.Misc.SharedObject< Const_Mesh >
override bool	_IsOwning `[get]`
	This checks if the `shared_ptr` itself is owning or not, rather than whether we own our `shared_ptr`, which isn't a given. The derived classes have to implement this, since it depends on the specific `shared_ptr` type.

bool	_IsOwningSharedPtr `[get]`
	This checks if we own the underlying `shared_ptr` instance, regardless of whether it owns the underlying object, which is orthogonal. We repurpose `_IsOwningVal` for this.

Detailed Description

This class represents a mesh, including topology (connectivity) information and point coordinates, as well as some caches to accelerate search algorithms Generated from class MR.Mesh. This is the const half of the class.

Member Function Documentation

◆ calcFastWindingNumber()

unsafe float MR.Const_Mesh.calcFastWindingNumber	(	in MR.Vector3f	pt,
		float?	beta = null )

inline

computes generalized winding number in a point (pt), which is

for closed mesh with normals outside: 1 inside, 0 outside;
for planar mesh: 0.5 inside, -0.5 outside; and in general is equal to (portion of solid angle where inside part of mesh is observable) minus (portion of solid angle where outside part of mesh is observable)
Parameters

beta determines the precision of fast approximation: the more the better, recommended value 2 or more Generated from method MR.Mesh.calcFastWindingNumber. Parameter beta defaults to 2.

◆ fromPointTriples()

static unsafe MR.Mesh MR.Const_Mesh.fromPointTriples	(	MR.Std.Const_Vector_StdArrayMRVector3f3	posTriples,
		bool	duplicateNonManifoldVertices )

inlinestatic

construct mesh from point triples;

Parameters

duplicateNonManifoldVertices = false, all coinciding points are given the same VertId in the result; duplicateNonManifoldVertices = true, it tries to avoid non-manifold vertices by creating duplicate vertices with same coordinates Generated from method MR.Mesh.fromPointTriples.

◆ isOutside()

unsafe bool MR.Const_Mesh.isOutside	(	in MR.Vector3f	pt,
		float?	windingNumberThreshold = null,
		float?	beta = null )

inline

computes whether a point (pt) is located outside the object surrounded by this mesh using generalized winding number

Parameters

beta	determines the precision of winding number computation: the more the better, recommended value 2 or more Generated from method `MR.Mesh.isOutside`. Parameter `windingNumberThreshold` defaults to `0.5f`. Parameter `beta` defaults to `2`.

◆ projectPoint() [1/3]

unsafe MR.MeshProjectionResult MR.Const_Mesh.projectPoint	(	in MR.Vector3f	point,
		float?	maxDistSq = null,
		MR.Const_FaceBitSet?	region = null,
		MR.AffineXf3f?	xf = null )

inline

finds the closest mesh point on this mesh (or its region) to given point;

Parameters

point	source location to look the closest to
maxDistSq	search only in the ball with sqrt(maxDistSq) radius around given point, smaller value here increases performance
xf	is mesh-to-point transformation, if not specified then identity transformation is assumed and works much faster;

Returns: found closest point including Euclidean coordinates, barycentric coordinates, FaceId and squared distance to point or std.nullopt if no mesh point is found in the ball with sqrt(maxDistSq) radius around given point Generated from method MR.Mesh.projectPoint. Parameter maxDistSq defaults to 3.40282347e38f.

◆ projectPoint() [2/3]

unsafe bool MR.Const_Mesh.projectPoint	(	in MR.Vector3f	point,
		MR.MeshProjectionResult	res,
		float?	maxDistSq = null,
		MR.Const_FaceBitSet?	region = null,
		MR.AffineXf3f?	xf = null )

inline

finds the closest mesh point on this mesh (or its region) to given point;

Parameters

point	source location to look the closest to
res	found closest point including Euclidean coordinates, barycentric coordinates, FaceId and squared distance to point
maxDistSq	search only in the ball with sqrt(maxDistSq) radius around given point, smaller value here increases performance
xf	is mesh-to-point transformation, if not specified then identity transformation is assumed and works much faster;

Returns: false if no mesh point is found in the ball with sqrt(maxDistSq) radius around given point Generated from method MR.Mesh.projectPoint. Parameter maxDistSq defaults to 3.40282347e38f.

◆ projectPoint() [3/3]

unsafe bool MR.Const_Mesh.projectPoint	(	in MR.Vector3f	point,
		MR.PointOnFace	res,
		float?	maxDistSq = null,
		MR.Const_FaceBitSet?	region = null,
		MR.AffineXf3f?	xf = null )

inline

finds the closest mesh point on this mesh (or its region) to given point;

Parameters

point	source location to look the closest to
res	found closest point including Euclidean coordinates and FaceId
maxDistSq	search only in the ball with sqrt(maxDistSq) radius around given point, smaller value here increases performance
xf	is mesh-to-point transformation, if not specified then identity transformation is assumed and works much faster;

Returns: false if no mesh point is found in the ball with sqrt(maxDistSq) radius around given point Generated from method MR.Mesh.projectPoint. Parameter maxDistSq defaults to 3.40282347e38f.

◆ signedDistance() [1/3]

unsafe float MR.Const_Mesh.signedDistance ( in MR.Vector3f pt )

inline

given a point (pt) in 3D, computes the closest point on mesh, and

Returns: signed distance from pt to mesh: positive value - outside mesh, negative - inside mesh; this method can return wrong sign if the closest point is located on self-intersecting part of the mesh Generated from method MR.Mesh.signedDistance.

◆ signedDistance() [2/3]

unsafe MR.Std.Optional_Float MR.Const_Mesh.signedDistance	(	in MR.Vector3f	pt,
		float	maxDistSq,
		MR.Const_FaceBitSet?	region = null )

inline

given a point (pt) in 3D, computes the closest point on mesh, and

Returns: signed distance from pt to mesh: positive value - outside mesh, negative - inside mesh; or std.nullopt if the projection point is not within maxDist; this method can return wrong sign if the closest point is located on self-intersecting part of the mesh Generated from method MR.Mesh.signedDistance.

◆ signedDistance() [3/3]

unsafe float MR.Const_Mesh.signedDistance	(	in MR.Vector3f	pt,
		MR.Const_MeshProjectionResult	proj,
		MR.Const_FaceBitSet?	region = null )

inline

given a point (pt) in 3D and the closest point to in on mesh (proj),

Returns: signed distance from pt to mesh: positive value - outside mesh, negative - inside mesh; this method can return wrong sign if the closest point is located on self-intersecting part of the mesh Generated from method MR.Mesh.signedDistance.

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

MRMesh.cs

Classes

Public Member Functions

Static Public Member Functions

Protected Member Functions

Properties

Detailed Description

Member Function Documentation

◆ calcFastWindingNumber()

◆ fromPointTriples()

◆ isOutside()

◆ projectPoint() [1/3]

◆ projectPoint() [2/3]

◆ projectPoint() [3/3]

◆ signedDistance() [1/3]

◆ signedDistance() [2/3]

◆ signedDistance() [3/3]