Reverse Catmull-Clark Subdivision
نویسندگان
چکیده
Reverse subdivision consists in constructing a coarse mesh of a model from a finer mesh of this same model. In this paper, we give formulas for reverse Catmull-Clark subdivision. These formulas allow the constructing of a coarse mesh for almost all meshes. The condition for being able to apply these formulas is that the mesh to be reversed must be generated by the subdivision of a coarse mesh. Except for this condition, the mesh can be arbitrary. Vertices can be regular or extraordinary and the mesh itself can be arbitrary (triangular, quadrilateral...).
منابع مشابه
A Reverse Scheme For Quadrilateral Meshes
Reverse subdivision constructs a coarse mesh of a model from a finer mesh of this same model. In [1] Lanquetin and Neveu propose a reverse mask for the Catmull-Clark scheme which consists in locally reversing Catmull-Clark original formula for even control points, but this mask can not be applied in reversing other variants such as Quad-averaging scheme of Warren and Weimer [2]. In this paper, ...
متن کاملSmooth reverse Loop and Catmull-Clark subdivision
In this paper we present a new multiresolution technique for general topology surfaces based on reversing subdivision with energy minimization. We first introduce a general reverse subdivision approach that starts from a trial set of biorthogonal multiresolution filters and refines the resulting coarse points using local masks. The refinement step tries to find a good approximation of the fine ...
متن کاملGeneralized Catmull-Clark Subdivision
The Catmull-Clark subdivision algorithm consists of an operator that can be decomposed into a refinement operator and a successively executed smoothing operator, where the refinement operator splits each face with m vertices into m quadrilateral subfaces and the smoothing operator replaces each internal vertex with an affine combination of its neighboring vertices and itself. Over regular meshe...
متن کامل