Desolneux, Agnès; Moisan, Lionel; Morel, Jean-Michel Edge detection by Helmholtz principle. (English) Zbl 0988.68819 J. Math. Imaging Vis. 14, No. 3, 271-284 (2001). Summary: We apply to edge detection a recently introduced method for computing geometric structures in a digital image, without any a priori information. According to a basic principle of perception due to Helmholtz, an observed geometric structure is perceptually “meaningful” if its number of occurences would be very small in a random situation: in this context, geometric structures are characterized as large deviations from randomness. This leads us to define and compute edges and boundaries (closed edges) in an image by a parameter-free method. Maximal detectable boundaries and edges are defined, computed, and the results compared with the ones obtained by classical algorithms. Cited in 1 ReviewCited in 19 Documents MSC: 68U99 Computing methodologies and applications 68U10 Computing methodologies for image processing Keywords:image analysis; perception; large deviations PDF BibTeX XML Cite \textit{A. Desolneux} et al., J. Math. Imaging Vis. 14, No. 3, 271--284 (2001; Zbl 0988.68819) Full Text: DOI