Geodesic
Numerical approximations of the Mumford–Shah functional for unit vector fields
Jonas Haehnle1
1Universität Tübingen, Germany
Interfaces and free boundaries, Tome 13 (2011) no. 3, pp. 297-326

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DOI

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.
DOI : 10.4171/ifb/259
Classification : 35-XX, 00-XX

Jonas Haehnle  1

1 Universität Tübingen, Germany 
Jonas Haehnle. Numerical approximations of the Mumford–Shah functional for unit vector fields. Interfaces and free boundaries, Tome 13 (2011) no. 3, pp. 297-326. doi: 10.4171/ifb/259
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     title = {Numerical approximations of the {Mumford{\textendash}Shah} functional for unit vector fields},
     journal = {Interfaces and free boundaries},
     pages = {297--326},
     year = {2011},
     volume = {13},
     number = {3},
     doi = {10.4171/ifb/259},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/259/}
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