Translation, scale, and deformation weighted polar active contours

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Baust, Maximillian and Yezzi, Anthony and Ünal, Gözde and Navab, Nassir (2012) Translation, scale, and deformation weighted polar active contours. Journal of Mathematical Imaging and Vision, 44 (3). pp. 354-365. ISSN 0924-9907 (Print) 1573-7683 (Online)

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Abstract

Polar active contours have proven to be a power- ful segmentation method for many medical as well as other computer vision applications, such as interactive image seg- mentation or tracking. Inspired by recent work on Sobolev active contours we derive a Sobolev-type function space for polar curves, which is endowed with a metric that allows us to favor origin translations and scale changes over smooth deformations of the curve. The resulting translation, scale, and deformation weighted polar active contours inherit the coarse-to-fine behavior of Sobolev active contours as well as their robustness to local minima and are thus very use- ful for many medical applications, such as cross-sectional vessel segmentation, aneurysm analysis, or cell tracking.
Item Type: Article
Uncontrolled Keywords: Active contours · Sobolev spaces · Image segmentation · Curve evolution
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Academic programs > Computer Science & Eng.
Faculty of Engineering and Natural Sciences
Depositing User: Gözde Ünal
Date Deposited: 24 Oct 2012 14:26
Last Modified: 26 Apr 2022 08:58
URI: https://research.sabanciuniv.edu/id/eprint/19851

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