Diffusion of General Data on Non-Flat Manifolds via Harmonic Maps Theory: The Direction Diffusion Case

@article{Tang2000DiffusionOG,
  title={Diffusion of General Data on Non-Flat Manifolds via Harmonic Maps Theory: The Direction Diffusion Case},
  author={Bei Tang and Guillermo Sapiro and Vicent Caselles},
  journal={International Journal of Computer Vision},
  year={2000},
  volume={36},
  pages={149-161}
}
In a number of disciplines, directional data provides a fundamental source of information. A novel framework for isotropic and anisotropic diffusion of directions is presented in this paper. The framework can be applied both to denoise directional data and to obtain multiscale representations of it. The basic idea is to apply and extend results from the theory of harmonic maps, and in particular, harmonic maps in liquid crystals. This theory deals with the regularization of vectorial data… CONTINUE READING
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