Regularized Laplacian Zero Crossings as Optimal Edge Integrators

@article{Kimmel2003RegularizedLZ,
  title={Regularized Laplacian Zero Crossings as Optimal Edge Integrators},
  author={Ron Kimmel and Alfred M. Bruckstein},
  journal={International Journal of Computer Vision},
  year={2003},
  volume={53},
  pages={225-243}
}
We view the fundamental edge integration problem for object segmentation in a geometric variational framework. First we show that the classical zero-crossings of the image Laplacian edge detector as suggested by Marr and Hildreth, inherently provides optimal edge-integration with regard to a very natural geometric functional. This functional accumulates the inner product between the normal to the edge and the gray level image-gradient along the edge. We use this observation to derive new and… CONTINUE READING
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