Geometry.Polyhedral

Documentation

adjacentFacets :: Point3D -> ConvexHull -> [Facet]

Given a vertex of a convex hull, computes the facets adjacent to the vertex.

isPointInFacet :: Point3D -> Facet -> Bool

For each vertex of a polyhedron, the facets must be ordered clockwise since we need there normals to point inside the polyhedron

areFacetsAdjacent :: Point3D -> Facet -> Facet -> Bool

Checks if two facets are adjacent with respect to a vertex in counterclockwise orientation.

sortFacets :: Point3D -> [Facet] -> [Facet]

The facets are ordered counterclockwise with respect to a vertex. [Optimizable]

normalVector :: Vertex -> Facet -> Point3D

Computes normal vector to a facet of the polyhedron with respect to a vertex.

crossProduct :: Point3D -> Point3D -> Point3D

normalCone :: Vertex -> [Facet] -> [Point3D]

normalFan :: ConvexHull -> [[Point3D]]

normalFanPointsFacets :: [Point3D] -> ConvexHull -> [[Point3D]]

isLowerFace :: Facet -> Bool