Image denoising using orthonormal finite ridgelet transform

Minh N. Do; Martin Vetterli

doi:10.1117/12.408673

Image denoising using orthonormal finite ridgelet transform

Minh N. Do, Martin Vetterli

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper addresses the image denoising problem using a newly proposed digital image transform: the finite ridgelet 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.

Original language	English (US)
Pages (from-to)	831-842
Number of pages	12
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	4119
DOIs	https://doi.org/10.1117/12.408673
State	Published - 2000
Externally published	Yes
Event	Wavelet Applications in Signal and Image Processing VIII - San Diego, CA, USA Duration: Jul 31 2000 → Aug 4 2000

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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abstract = "This paper addresses the image denoising problem using a newly proposed digital image transform: the finite ridgelet 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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AB - This paper addresses the image denoising problem using a newly proposed digital image transform: the finite ridgelet 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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JF - Proceedings of SPIE - The International Society for Optical Engineering

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T2 - Wavelet Applications in Signal and Image Processing VIII

Y2 - 31 July 2000 through 4 August 2000

ER -

Image denoising using orthonormal finite ridgelet transform

Abstract

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