Slow Growing Volumetric Subdivision for 3D Volumetric Data

摘要: In recent years subdivision methods have been successfully applied to the multi-resolution representation and compression of surface meshes. Unfortunately their use in volumetric case has remained impractical because tensor-product generalizations that induce an excessive growth mesh size before sufficient number is preformed. This technical sketch presents a new technique refines (and higher-dimensional) meshes at same rate The scheme builds adaptive refinements without using special decompositions cells connecting different levels resolution. Lower dimensional ''sharp'' features are also handled directly natural way. averaging rules allow reproduce smoothness two best known previous tensor product refinement methods.