graphics - Questions about Catmull-Clark -
graphics - Questions about Catmull-Clark -
i have few questions regarding algorithm
1) can input mesh (i.e, triangle mesh, hexagonal mesh) ? according website, catmull-clark works arbitrary polygon meshes:
the paper describes mathematics behind rules meshes quads only, , goes on generalize without proof meshes arbitrary polygons.
however, have seen used in context of quads. example, edgepoints calculated using 2 facepoints , original endpoints. can envisage scenarios where, in non-quadrilateral mesh, there more 2 facepoints.
2) assuming (1) true, according wikipedia, says:
the new mesh consist of quadrilaterals, in general not planar. new mesh smoother old mesh.
does mean if set in triangle or hexagonal mesh, result quadrilateral mesh? if so, why?
sure. why didn't believe website?
yes. every face produced catmull-clark have 1 corner original face, 2 corners @ border points, , 1 corner @ face point; , hence quadrilateral.
graphics 3d computational-geometry mesh
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