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Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
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
Zeitschrift
IEEE Transactions on Image Processing
Quellenangaben
Band: 29,
Seiten: 921-933
Verlag
Institute of Electrical and Electronics Engineers (IEEE)
Verlagsort
445 Hoes Lane, Piscataway, Nj 08855-4141 Usa
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)