Journal of Mathematical Imaging and Vision

, Volume 44, Issue 3, pp 354–365

Translation, Scale, and Deformation Weighted Polar Active Contours

  • Maximilian Baust
  • Anthony Yezzi
  • Gozde Unal
  • Nassir Navab
Article

DOI: 10.1007/s10851-012-0331-5

Cite this article as:
Baust, M., Yezzi, A., Unal, G. et al. J Math Imaging Vis (2012) 44: 354. doi:10.1007/s10851-012-0331-5
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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.

Keywords

Active contours Sobolev spaces Image segmentation Curve evolution 

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Maximilian Baust
    • 1
  • Anthony Yezzi
    • 2
  • Gozde Unal
    • 3
  • Nassir Navab
    • 1
  1. 1.Computer Aided Medical Procedures and Augmented RealityTechnische Universität MünchenMunichGermany
  2. 2.School of Electrical and Computer EngineeringGeorgia Institue of TechnologyAtlantaUSA
  3. 3.Faculty of Engineering and Natural SciencesSabanci UniversityInstanbulTurkey

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