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Polyhedron[Class Summary]
v
f
ctor
NumVertices()[const]
NumFaces()[const]
NumEdges()[const]
VertexArrayPtr() (+1 overload)
Vertex(vertexIndex)[const]
Edge(edgeIndex)[const]
Edges()[const]
Faces()[const]
EdgeIndices()[const]
FacePolygon(faceIndex)[const]
FacePlane(faceIndex)[const]
FaceNormal(faceIndex)[const]
ExtremeVertex(direction)[const]
ExtremePoint(direction)[const]
ProjectToAxis(...)[const]
ConvexCentroid()[const]
ApproximateConvexCentroid()[const]
SurfaceArea()[const]
Volume()[const]
MinimalEnclosingAABB()[const]
MergeAdjacentPlanarFaces()
FaceIndicesValid()[const]
FlipWindingOrder()
OrientNormalsOutsideConvex()
RemoveRedundantVertices()
IsNull()[const]
IsClosed()[const]
IsConvex()[const]
EulerFormulaHolds()[const]
FacesAreNondegeneratePlanar(epsilon)[const]
ClipLineSegmentToConvexPolyhedron(...)[const]
NearestVertex(point)[const]
Contains(point)[const] (+7 overloads)
FaceContains(...)[const]
FaceContainmentDistance2D(...)[const]
ContainsConvex(point,epsilon)[const] (+2 overloads)
ClosestPoint(...)[const] (+2 overloads)
ClosestPointConvex(point)[const]
Distance(point)[const]
Intersects(lineSegment)[const] (+11 overloads)
IntersectsConvex(line)[const] (+2 overloads)
MergeConvex(point)
Translate(offset)
Transform(transform) (+3 overloads)
SetEquals(p2)
SwapVertices(i,j)
CanonicalizeFaceArray()
ContainsFace(face)[const]
FindClosestVertex(pt,outDistanceSq)[const]
Triangulate()[const]
ToString()[const]
ConvexHull(...)[static]
Tetrahedron(...)[static]
Octahedron(...)[static]
Hexahedron(...)[static]
Icosahedron(...)[static]
Dodecahedron(...)[static]

Polyhedron::ApproximateConvexCentroid

Syntax

float4 Polyhedron::ApproximateConvexCentroid() const; [8 lines of code]

If this Polyhedron is a tetrahedron, this is the center of mass for the Polyhedron.

Otherwise it is a kind of an approximate enter of mass, biased towards the direction where there are lots of vertices in the Polyhedron.

Note
This function is considerably faster than ConvexCentroid().

See Also

SurfaceArea(), Volume(), ConvexCentroid().