Polyphase Filter and Polynomial Reproduction Conditions for the Construction of Smooth Bidimensional Multiwavelets

Abstract. To construct a very smooth nonseparable multiscaling function, we impose polynomial approximation order 2 and add new conditions on the polyphase highpass filters. We work with a dilation matrix generating quincunx lattices, and fix the index set. Other imposed conditions are orthogonal filter bank and balancing. We construct a smooth, compactly supported multiscaling function and multiwavelet, and test the system on a noisy image with good results.

• Type: Conference
• Year: 2007
• Where: ACIVS
• Authors: Ana M. C. Ruedin
• Keywords: ACIVS 2007, Computer Vision, Multiscaling Function, Nonseparable Multiscaling Function, Polynomial Approximation Order