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Optimal Levels for the Two-phase, Piecewise Constant Mumford-Shah Functional

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Author

Summary, in 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.

Department/s

Publishing year

2009

Language

English

Document type

Conference paper

Topic

  • Computer Vision and Robotics (Autonomous Systems)
  • Mathematics

Keywords

  • total variation
  • segmentation
  • image processing

Conference name

Swedish Symposium on Image Analysis (SSBA) 2009

Conference date

2009-03-19 - 2009-03-20

Conference place

Halmstad, Sweden

Status

Published

Research group

  • Mathematical Imaging Group