A simple nonlinear filter for edge detection in images

Mladen Victor Wickerhauser; Wojciech Czaja

doi:10.1117/12.548915

12 April 2004 A simple nonlinear filter for edge detection in images

Mladen Victor Wickerhauser, Wojciech Czaja

Proceedings Volume 5439, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks II; (2004) https://doi.org/10.1117/12.548915
Event: Defense and Security, 2004, Orlando, Florida, United States

Abstract

We specialize to two simple cases the algorithm for singularity detection in images from eigenvalues of the dual local autocovariance matrix. The eigenvalue difference, or "edginess" at a point, then reduces to a simple nonlinear function. We discuss the derivation of these functions, which provide low-complexity nonlinear edge filters with parameters for customization, and obtain formulas in the two simplest special cases. We also provide an implementation and exhibit its output on six sample images.

Citation Download Citation

Mladen Victor Wickerhauser and Wojciech Czaja "A simple nonlinear filter for edge detection in images", Proc. SPIE 5439, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks II, (12 April 2004); https://doi.org/10.1117/12.548915

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