Wavelet Based Surface Decomposition with Boundary Continuity

ABSTRACT: For the traditional wavelet based surface decomposition, it is difficult to preserve the boundary continuity with adjacent surfaces. Aiming at this problem, this paper proposes a new algorithm for wavelet based surface decomposition while preserving the boundary continuity. First, a B-spline surface is divided into a boundary part and a non-boundary part, and then the non-boundary one is decomposed into a scale part and a wavelet part by wavelet transform. Finally, the T-spline is utilized to reconstruct the boundary one and the scale one. Compared to the traditional wavelet based surface decomposition method, in the new approach the result surface is a T-spline which can preserve the boundary continuity with adjacent surfaces. Several examples and results are given to demonstrate the effectiveness of this approach.