Image denoising using orthonormal finite ridgelet transform

Minh N. Do; Martin Vetterli

doi:10.1117/12.408673

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4 December 2000 Image denoising using orthonormal finite ridgelet transform

Minh N. Do, Martin Vetterli

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Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408673
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

This paper addresses the image denoising problem using a newly proposed digital image transform: the finite rigdelet transform (FRIT). The transform is invertible, non-redundant and achieved via fast algorithms. Furthermore this transform can be designed to be orthonormal thus indicating its potential in many other image processing applications. We then propose various improvements on the initial design of the FRIT in order to make it to have better energy compaction and to reduce the border effect. Experimental results show that the new transform outperforms wavelets in denoising images with linear discontinuities.

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Minh N. Do and Martin Vetterli "Image denoising using orthonormal finite ridgelet transform", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408673

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