| Title | Optimal Levels for the Two-phase, Piecewise Constant Mumford-Shah Functional |
| Authors | Petter Strandmark, Fredrik Kahl, Niels Christian Overgaard |
| Year | 2009 |
| Document type | Conference paper |
| Conference name | Swedish Symposium on Image Analysis (SSBA) |
| Conference Date | 2009-03-19 - 2009-03-20 |
| Conference Location | Halmstad, Sweden |
| Status | Published |
| Language | eng |
| Abstract English | Recent results have shown that denoising an image with the Rudin, Osher and Fatemi (ROF) total variation model can be accomplished by solving a series of binary optimization problems. We observe that this fact can be used in the other direction. The procedure is applied to the two-phase, piecewise constant Mumford-Shah functional, where an image is approximated with a function taking only two values. When the difference between the two levels is kept constant, a global optimum can be found efficiently. This allows us to solve the full problem with branch and bound in only one dimension. |
| Keywords | total variation, segmentation, image processing, |
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