Wavelet primal sketch representation using Marr wavelet pyramid and its reconstruction | Zendy

Dimitri Van De Ville | Zendy; Michaël Unser | Zendy

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Wavelet primal sketch representation using Marr wavelet pyramid and its reconstruction

Author(s) -

Dimitri Van De Ville,

Michaël Unser

Publication year - 2009

Publication title -

proceedings of spie, the international society for optical engineering/proceedings of spie

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.192

H-Index - 176

eISSN - 1996-756X

pISSN - 0277-786X

DOI - 10.1117/12.825972

Subject(s) - wavelet , second generation wavelet transform , wavelet transform , computer science , artificial intelligence , smoothing , wavelet packet decomposition , filter bank , stationary wavelet transform , discrete wavelet transform , harmonic wavelet transform , pyramid (geometry) , computer vision , lifting scheme , cascade algorithm , pattern recognition (psychology) , algorithm , mathematics , filter (signal processing) , geometry

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.

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