Image reconstruction based on zero-crossing representations of wavelet transform

被引：0

作者：

Cheong, Cha Keon ^{[1
]}

Aizawa, Kiyoharu ^{[1
]}

Hatori, Mitsutoshi ^{[1
]}

Saito, Takahiro ^{[1
]}

机构：

[1] Univ of Tokyo, Tokyo, Japan

来源：

Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi) | 1995年 / 78卷 / 03期

关键词：

Algorithms - Convergence of numerical methods - Digital filters - Invariance - Iterative methods - Signal detection - Wavelet transforms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A reconstruction method of the image signal from the zero-crossing representation is discussed. First, the one- and two-dimensional multiscale wavelet transforms are described with completeness and translation invariance. It is shown that the original signal can be reconstructed with a stable and fast convergence from the zero-crossing representation of the signal through the iterated projections to the convex set. The effect of the wavelet basis filter on the convergence in the reconstruction is investigated, and a necessary condition for the optimal basis filter is derived considering the convergence. Finally, a new basis filter is designed using the B-spline function and the usefulness of the proposed method is demonstrated for the one-dimensional signal and the image signal. It is also shown that the signal reconstruction procedure converges with stability, even if there exists an error at the extracted zero-crossing point.

引用

页码：44 / 61