Abstract
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.
Keywords
RectangleConstructiveImage (mathematics)MathematicsBounded functionImage segmentationCombinatoricsMathematical analysisGeometryArtificial intelligenceComputer scienceProcess (computing)
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 1
- Issue
- 1
- Citations
- 51
- Access
- Closed
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Cite This
Jean‐Michel Morel,
Sergio Solimini
(1988).
Segmentation of image: by variational methods: A constructive approach.
Revista Matemática Complutense
, 1
(1)
.
https://doi.org/10.5209/rev_rema.1988.v1.n1.18194
Identifiers
- DOI
- 10.5209/rev_rema.1988.v1.n1.18194