Isotropic Energies, Filters and Splines for Vector Field Regularization

  title={Isotropic Energies, Filters and Splines for Vector Field Regularization},
  author={Pascal Cathier and Nicholas Ayache},
  journal={Journal of Mathematical Imaging and Vision},
The aim of this paper is to propose new regularization and filtering techniques for dense and sparse vector fields, and to focus on their application to non-rigid registration. Indeed, most of the regularization energies used in non-rigid registration operate independently on each coordinate of the transformation. The only common exception is the linear elastic energy, which enables cross-effects between coordinates. Cross-effects are yet essential to give realistic deformations in the uniform… CONTINUE READING


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Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces,

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