Translation, scale, and deformation weighted polar active contours

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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