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Topological Optimization with the -Laplacian Operator and an Application in Image Processing
Boundary Value Problems volume 2009, Article number: 896813 (2009)
We focus in this paper on the theoretical and numerical aspect os image processing. We consider a non linear boundary value problem (the -Laplacian) from which we will derive the asymptotic expansion of the Mumford-Shah functional. We give a theoretical expression of the topological gradient as well as a numerical confirmation of the result in the restoration and segmentation of images.
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Sy, A., Seck, D. Topological Optimization with the -Laplacian Operator and an Application in Image Processing. Bound Value Probl 2009, 896813 (2009). https://doi.org/10.1155/2009/896813
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
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