Abstract:

Based on quasiuniform Bspline basis functions and multiresolution theory of Bspline wavelets of two dimension,  the Bspline wavelets constructed by taking quasiuniform Bspline basis functions as scaling function as well as its decomposition algorithm are described. Further,  the decomposition algorithm for NURBS surface is studied. By making use of  G¹ conditions for two NURBS surfaces(Bspline surfaces in this paper) and their multiresolution representations, this paper presents the algorithm for maintaining the G¹ continuity of two multilevel NURBS surfaces and its implementation.

Key words: Bspline wavelet, multilevel NURBS surfaces, G¹ continuity