Ridgelet Transform Based on Reveilles Discrete Lines

摘要

In this paper we present a new discrete implementation of ridgelet transforms based on Reveilles discrete 2D lines. Ridgelet transforms are particular invertible wavelet transforms. Our approach uses the arithmetical to specific applications. We illustrate this with a denoising and a compression algorithm. The broader aim of this paper is to show how results of discrete analytical geometry can be sucessfully used in image analysis.