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- W1558320420 abstract "Mumford and Shah [263][264] suggested performing edge detection by minimizing functionals of the form $$ E(f,K) = beta {smallint _Omega }{text{ }}{(f - g)^2}dx + {smallint _{Omega - K}}|nabla f{|^2}dx + alpha |K|,$$where Ω is the image domain (a rectangle), dx denotes Lebesgue measure, g is the observed grey level image, i.e., a real valued function, f approximates g, K denotes the set of edges (a closed set), | K | is the total length2 of K, and β and α are real positive scalars. This approach is a modification of one due to Geman and Geman [132] that uses Markov random fields, which was developed by Marroquin [249] and by Blake and Zisserman [34]. It is referred to as the variational formulation of edge detection." @default.
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- W1558320420 date "1994-01-01" @default.
- W1558320420 modified "2023-09-27" @default.
- W1558320420 title "Approximation, Computation, and Distortion in the Variational Formulation" @default.
- W1558320420 doi "https://doi.org/10.1007/978-94-017-1699-4_8" @default.
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