Translation, Scale, and Deformation Weighted Polar Active Contours

Baust M., Yezzi A., Unal G., NAVAB N.

JOURNAL OF MATHEMATICAL IMAGING AND VISION, vol.44, no.3, pp.354-365, 2012 (SCI-Expanded) identifier identifier


Polar active contours have proven to be a powerful segmentation method for many medical as well as other computer vision applications, such as interactive image segmentation 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 useful for many medical applications, such as cross-sectional vessel segmentation, aneurysm analysis, or cell tracking.