The discrete orthonormal Stockwell transform for image restoration

Author

Wang, Yanwei ; Orchard, Jeff

Author_Institution

Dept. of Appl. Math., Univ. of Waterloo, Waterloo, ON, Canada

fYear

2009

fDate

7-10 Nov. 2009

Firstpage

2761

Lastpage

2764

Abstract

This paper describes an automated image restoration algorithm. The technique is based on the Stockwell transform (ST) and its discrete version, the discrete orthonormal Stockwell transform (DOST). These mathematical transforms provide a multiresolution spatial-frequency representation of a signal or image. First, we give a brief introduction to the Stockwell transform, and the DOST. Then we describe a restoration method using the DOST based on the total variation (TV) minimization model. The results show that the DOST restoration outperforms the wavelet restoration by giving a higher Peak Signal to Noise Ratio (PSNR).

Keywords

discrete transforms; image restoration; discrete orthonormal Stockwell transform; image restoration; mathematical transforms; multiresolution spatial-frequency representation; Discrete transforms; Fourier transforms; Image coding; Image restoration; Mathematics; PSNR; Sampling methods; Signal restoration; Spatial resolution; Time frequency analysis; DOST; Stockwell transform; image restoration; inpainting;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing (ICIP), 2009 16th IEEE International Conference on

Conference_Location

Cairo

ISSN

1522-4880

Print_ISBN

978-1-4244-5653-6

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2009.5414135

Filename

5414135