Title :
Theory of 2D nonseparable optimal m-band wavelets and its applications
Author :
Cui, Li ; Li, Hua ; Zhou, Yunshi
Author_Institution :
Inst. of Math., Jilin Univ., Changchun, China
Abstract :
The theory of 1D generalized multiresolution analysis (GMRA) with quasi-real dilation is put forward. In this paper we will focus on the 2D extension of the optimal m-band wavelets and its applications in planar image processing. Given a class of image, we will present optimal m-band wavelets for them only by a part of samples. The efficiency and superiority of the algorithm can been seen from the processing result of datasets of the human body slices.
Keywords :
computational geometry; image resolution; splines (mathematics); wavelet transforms; 2D extension; 2D nonseparable wavelets; generalized multiresolution analysis; human body slices; optimal m-band wavelets; planar image processing; quasireal dilation; Application software; Approximation algorithms; Buildings; Computer graphics; Humans; Image processing; Mathematics; Multiresolution analysis; Spline; Wavelet packets;
Conference_Titel :
Geometric Modeling and Processing, 2004. Proceedings
Print_ISBN :
0-7695-2078-2
DOI :
10.1109/GMAP.2004.1290054
