Segmentation of image: by variational methods: A constructive approach
Jean‐Michel Morel, Sergio Solimini · Revista Matemática Complutense · 1988
Wc give a constructive proob that given a bounded Iunction on a rectangle R, the minimum of the following bunctional is achieved:where B is a finite set ob C' curves lii R and u is locally constant in R -B.In image processing, g can be interpreted as an image (g(x,y) is the grey level a! (x,y)) and the curves ob B as the contours of the image, u representing the mean value inside each contour.Following ideas ob Mumbord and Shah, our proob suggests a method br transborming an image into a cartoon.Aknowledgernent.