Multiresolution for Algebraic Curves and Surfaces using Wavelets

This paper describes a multiresolution method for implicit curves and surfaces The method is based on wavelets and is able to simplify the topology The implicit curves and surfaces are de ned as the zero valued algebraic isosurface of a tensor product uniform cubic Bspline A wavelet multiresolution method that deals with uniform cubic Bsplines on bounded domains has been constructed Further the report explains how to set the unknown coe cients to produce the most compact object how to recover the initial object a suitable data structure and nally points out several improvements that might produce better results