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)
Official URL: http://dx.doi.org/10.1007/s10851-012-0331-5
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.
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