Journal of Mathematical Imaging and Vision

, Volume 35, Issue 1, pp 1–22

Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity

Authors

    • Humboldt-Universität zu Berlin
    • Department of Mathematics and Scientific ComputingUniversity of Graz
  • A. Laurain
    • Department of Mathematics and Scientific ComputingUniversity of Graz
Article

DOI: 10.1007/s10851-009-0150-5

Cite this article as:
Hintermüller, M. & Laurain, A. J Math Imaging Vis (2009) 35: 1. doi:10.1007/s10851-009-0150-5

Abstract

Topological sensitivity analysis is performed for the piecewise constant Mumford-Shah functional. Topological and shape derivatives are combined in order to derive an algorithm for image segmentation with fully automatized initialization. Segmentation of 2D and 3D data is presented. Further, a generalized Mumford-Shah functional is proposed and numerically investigated for the segmentation of images modulated due to, e.g., coil sensitivities.

Keywords

Image processingk-means clusteringModulation recoveryMumford-Shah functionalPiecewise constant reconstructionSegmentationShape and topological sensitivity

Copyright information

© Springer Science+Business Media, LLC 2009