A Sobolev-type metric for polar active contours
Baust, Maximillian and Yezzi, Anthony J. and Ünal, Gözde and Navab, Nassir (2011) A Sobolev-type metric for polar active contours. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2011), Colorado Springs, USA
Official URL: http://dx.doi.org/10.1109/CVPR.2011.5995310
Polar object representations have proven to be a power- ful shape model for many medical as well as other com- puter 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. This so-called polar space is endowed with a metric that allows us to favor origin translations and scale changes over smooth deformations of the curve. Moreover, the resulting curve flow inherits the coarse-to-fine behavior of Sobolev active contours and is thus very robust to local minima. These properties make the resulting polar active contours a powerful segmentation tool for many medical applications, such as cross-sectional vessel segmentation, aneurysm analysis, or cell tracking.
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