Numerical Approximations of the Mumford-shah Functional for Unit Vector Fields

  title={Numerical Approximations of the Mumford-shah Functional for Unit Vector Fields},
  author={Jonas Haehnle},
Two numerical approximation schemes for minimising the Mumford-Shah functional for unit vector fields are proposed, analysed, and compared. The first uses a projection strategy, the second a penalisation strategy to enforce the sphere constraint. Both schemes are then applied to the segmentation of colour images using the Chromaticity and Brightness colour model. 


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