Abstract
In this paper we present a new discrete implementation of ridgelet transforms based on Reveillès discrete 2D lines. Ridgelet transformsare particular invertible wavelet transforms. Our approach uses the arithmetical thickness parameter of Reveilleslinesto 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.
Cite
CITATION STYLE
Carré, P., & Andres, E. (2002). Ridgelet transform based on reveillès discrete lines. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2301, pp. 417–427). Springer Verlag. https://doi.org/10.1007/3-540-45986-3_37
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