Designing a fast convolution under the LIP paradigm applied to edge detection

Authors:
José M. Palomares;Jesús González;Eduardo Ros
Affiliations:
Department of Electrotechnics and Electronics, Escuela Politécnica Superior, University of Cordoba, Cordoba, Spain;Department of Computer Architecture and Computer Technology, E.T.S. Ingeniería Informática, University of Granada, Granada, Spain;Department of Computer Architecture and Computer Technology, E.T.S. Ingeniería Informática, University of Granada, Granada, Spain
Venue:
ICAPR'05 Proceedings of the Third international conference on Pattern Recognition and Image Analysis - Volume Part II
Year:
2005

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Abstract

The Logarithmic Image Processing model (LIP) is a robust mathematical framework for the processing of transmitted and reflected images. It follows many visual, physical and psychophysical laws. This works presents a new formulation of a 2D–convolution of separable kernels using the LIP paradigm. A previously stated LIP–Sobel edge detector is redefined with the new proposed formulation, and the performance of the edge detectors programmed following the two formulations (the previous one and the new one proposed) is compared. Another operator, Laplacian of Gaussian, is also stated under the LIP paradigm. The experiments show that both methods obtain same results although our proposed method is much faster than the previous one.