Angular multiselectivity analysis of images

Antoine, Jean-Pierre;Jacques, Laurent
(2003) Wavelets: application in Signal and Image Processing X — Location: San Diego, CA, USA (4.August.2003)

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Two-dimensional wavelet analysis with directional frames is well-adapted and efficient for detecting oriented features in images but, for (quasi-)isotropic components, it is unnecessarily redundant. Using wavelets with variable angular selectivity leads to a prohibitive computing cost in the continuous wavelet formalism. We propose a solution based on a multiresolution analysis in the angular variable (transferred from a biorthogonal analysis on the line), in addition to the usual multiresolution in scale. The resulting scheme is efficient and competitive with traditional methods. Some applications are given to image denoising.
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Antoine, J.-P., & Jacques, L. (2003). Angular multiselectivity analysis of images. SPIE - the International Society for Optical Engineering. Proceedings, Vol. 5207, p. 196-207. https://doi.org/10.1117/12.504800