Uniform Powell-Sabin spline wavelets

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:154

Article

Windmolders, J ; Vanraes, E ; Dierckx, P ; Bultheel, A

关键词: wavelets;    lifting;    B-splines;    Powell-Sabin splines;    subdivision;   

DOI  :  10.1016/S0377-0427(02)00817-8

来源: Elsevier

【 摘 要 】

This paper discusses how the subdivision scheme for uniform Powell-Sabin spline surfaces makes it possible to place those surfaces in a multiresolution context. We first show that the basis functions are translates and dilates of one vector of scaling functions. This defines a sequence of nested spaces. We then use the subdivision scheme as the prediction step in the lifting scheme and add an update step to construct wavelets that describe a sequence of complement spaces. Finally, as an example application, we use the new wavelet transform to reduce noise on a uniform Powell-Sabin spline surface. (C) 2003 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free