Image denoising using orthonormal finite ridgelet transform

Minh N. Do, Martin Vetterli · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2000

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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