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

In English

Författare

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.

Avdelning/ar

Publiceringsår

2009

Språk

Engelska

Dokumenttyp

Konferensbidrag

Ämne

  • Computer Vision and Robotics (Autonomous Systems)
  • Mathematics

Nyckelord

  • 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

Forskningsgrupp

  • Mathematical Imaging Group