Topology preserving deformable image matching using constrained hierarchical parametric models

@article{Musse2000TopologyPD,
  title={Topology preserving deformable image matching using constrained hierarchical parametric models},
  author={Olivier Musse and Fabrice Heitz and Jean-Paul Armspach},
  journal={Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101)},
  year={2000},
  volume={1},
  pages={505-508 vol.1}
}
  • O. Musse, F. Heitz, J. Armspach
  • Published 10 September 2000
  • Computer Science
  • Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101)
We present a topology preserving image matching method, based on a hierarchical parametric model of the deformation map. The transformation is parameterized at different scales, using a decomposition of the deformation vector field over a sequence of nested subspaces, generated from a single compactly supported scaling function. To preserve topology, the positivity of the Jacobian of the continuous deformation is enforced. We establish that, for the proposed hierarchical parametric model, the… 

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