Wavelet primal sketch representation using Marr wavelet pyramid and its reconstruction

Dimitri Van De Ville; Michael Unser

doi:10.1117/12.825972

4 September 2009 Wavelet primal sketch representation using Marr wavelet pyramid and its reconstruction

Dimitri Van De Ville, Michael Unser

Proceedings Volume 7446, Wavelets XIII; 74460W (2009) https://doi.org/10.1117/12.825972
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

Based on the class of complex gradient-Laplace operators, we show the design of a non-separable two-dimensional wavelet basis from a single and analytically defined generator wavelet function. The wavelet decomposition is implemented by an efficient FFT-based filterbank. By allowing for slight redundancy, we obtain the Marr wavelet pyramid decomposition that features improved translation-invariance and steerability. The link with Marr's theory of early vision is due to the replication of the essential processing steps (Gaussian smoothing, Laplacian, orientation detection). Finally, we show how to find a compact multiscale primal sketch of the image, and how to reconstruct an image from it.

Citation Download Citation

Dimitri Van De Ville and Michael Unser "Wavelet primal sketch representation using Marr wavelet pyramid and its reconstruction", Proc. SPIE 7446, Wavelets XIII, 74460W (4 September 2009); https://doi.org/10.1117/12.825972

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