Image representation by level crossings of the wavelet transform

Author

Shmouely, Meir ; Zeevi, Y.Y.

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

1

fYear

1996

fDate

16-19 Sep 1996

Firstpage

565

Abstract

Images are decomposed by the visual systems into several spatially oriented frequency channels. Such a decomposition presented in the context of multiresolution analysis, provides a powerful tool for image processing. This study is devoted to multiresolution representation by partial information of the wavelet transform. A theorem defining the conditions necessary for the zero crossing representation to be stable and complete, is presented. This theorem is based on the properties of the multiresolution theory, using orthonormal wavelet functions. An iterative fast reconstruction algorithm, which is easy to implement, is presented and illustrated by examples

Keywords

image reconstruction; image representation; image resolution; iterative methods; wavelet transforms; image decomposition; image processing; image representation; iterative fast reconstruction algorithm; level crossings; multiresolution analysis; orthonormal wavelet functions; partial information; spatially oriented frequency channels; wavelet transform; zero crossing representation; Band pass filters; Filtering theory; Frequency; Image processing; Image representation; Reconstruction algorithms; Signal resolution; Spatial resolution; Visual system; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1996. Proceedings., International Conference on

Conference_Location

Lausanne

Print_ISBN

0-7803-3259-8

Type

conf

DOI

10.1109/ICIP.1996.560921

Filename

560921