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 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 3
  • Publication Date: 2012
  • Doi Number: 10.1007/s10851-012-0331-5
  • Title of Journal : JOURNAL OF MATHEMATICAL IMAGING AND VISION
  • Page Numbers: pp.354-365

Abstract

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.