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Open Access Green as soon as Postprint is submitted to ZB.
An efficient algorithm for the piecewise affine-linear Mumford-Shah model based on a Taylor jet splitting.
IEEE Trans. Image Process. 29, 921-933 (2020)
We propose an algorithm to efficiently compute approximate solutions of the piecewise affine Mumford-Shah model. The algorithm is based on a novel reformulation of the underlying optimization problem in terms of Taylor jets. A splitting approach leads to linewise segmented jet estimation problems for which we propose an exact and efficient solver. The proposed method has the combined advantages of prior algorithms: it directly yields a partition, it does not need an initialization procedure, and it is highly parallelizable. The experiments show that the algorithm has lower computation times and that the solutions often have lower functional values than the state-of-the-art.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Image Partitioning ; Piecewise Affine-linear Mumford-shah Model ; Image Segmentation ; Unsupervised Segmentation ; Non-convex Optimization ; Splitting Approach ; Image Processsing ; Image Edge Detection; Energy Minimization; Image Segmentation; Relaxation; Gradient; Color
ISSN (print) / ISBN
1057-7149
e-ISSN
1941-0042
Quellenangaben
Volume: 29,
Pages: 921-933
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Publishing Place
445 Hoes Lane, Piscataway, Nj 08855-4141 Usa
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)