Biorthogonal radial multiresolution in dimension three

✍ Scribed by Li Cui; Lizhong Peng

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 881 KB
• Volume: 224
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.05.057

✦ Synopsis

In this paper, we present the definition and the relative theorems of the biorthogonal radial multiresolution in dimension three. Unlike the orthogonal case, there exist real-valued dual radial scaling functions with compact support in the biorthogonal case. The associated Mallat algorithm can be simply performed in terms of classical biorthogonal filters.