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Details for article 4 of 7 found articles
| Title: |
Optimal partitions, regularized solutions, and application to image classification |
| Author: |
Aubert, Gilles Aujol, Jean-Franc |
| Appeared in: |
Applicable analysis |
| Paging: | Volume 84 (2005) nr. 1 pages 15-35 |
| Year: |
2005-01 |
| Contents: |
This article is concerned with the problem of finding a regular and homogeneous partition of a Lipschitz open set Ω of [image omitted]. This type of problem occurs in image classification which consists in assigning a label (that is a class or a phase) to each pixel of an observed image. Such a problem can numerically be solved by using a level set formulation. But this approach generally relies on heuristic arguments. We intend here to give a theoretical justification in the two phases case. In the first part of the paper, we prove that the partition problem we consider admits a solution. And in the second part, we justify the numerical approach which is generally used to compute a solution. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 4 of 7 found articles
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