Shape Representation and Classification Using the Poisson Equation

@article{Gorelick2004ShapeRA,
  title={Shape Representation and Classification Using the Poisson Equation},
  author={Lena Gorelick and Meirav Galun and Eitan Sharon and Ronen Basri and Achi Brandt},
  journal={Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004.},
  year={2004},
  volume={2},
  pages={II-II}
}
We present a novel approach that allows us to reliably compute many useful properties of a silhouette. Our approach assigns, for every internal point of the silhouette, a value reflecting the mean time required for a random walk beginning at the point to hit the boundaries. This function can be computed by solving Poisson's equation, with the silhouette contours providing boundary conditions. We show how this function can be used to reliably extract various shape properties including part… CONTINUE READING

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