A simple nonlinear filter for edge detection in images

Mladen Victor Wickerhauser, Wojciech K. Czaja · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2004

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.

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