Statistical Image Modelling Using Interscale Phase Relationships of Complex Wavelet Coefficients

Author

Miller, Mark ; Kingsbury, Nick

Author_Institution

Dept. of Eng., Cambridge Univ.

Volume

2

fYear

2006

fDate

14-19 May 2006

Abstract

A novel method for modelling the statistics of 2D photographic images useful in image restoration is defined. The new method is based on the dual tree complex wavelet transform (DT-CWT) but a phase rotation is applied to the coefficients to create complex coefficients whose phase is shift-invariant at multiscale edge and ridge features. This is in addition to the magnitude shift invariance achieved by the DT-CWT. The increased correlation between coefficients adjacent in space and scale provides an improved, mechanism for signal estimation

Keywords

image restoration; statistical analysis; trees (mathematics); wavelet transforms; 2D photographic images; complex wavelet coefficients; dual tree complex wavelet transform; image restoration; interscale phase relationships; magnitude shift invariance; multiscale edge feature; phase rotation; ridge feature; signal estimation; statistical image modelling; Displays; Estimation; Frequency; Image restoration; Noise reduction; Probability; Signal processing; Statistics; Wavelet coefficients; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on

Conference_Location

Toulouse

ISSN

1520-6149

Print_ISBN

1-4244-0469-X

Type

conf

DOI

10.1109/ICASSP.2006.1660461

Filename

1660461