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In this paper we present a new discrete implementation of ridgelet transforms based on Reveill猫s discrete 2D lines. Ridgelet transforms are particular invertible wavelet transforms. Our approach uses the arithmetical thickness parameter of Reveill猫slinesto adapt the Ridgelet transform 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.

Ridgelet Transform Based on Reveillès Discrete Lines