Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution

@article{Bernard2009VariationalBL,
  title={Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution},
  author={Olivier Bernard and Denis Friboulet and Philippe Th{\'e}venaz and Michael Unser},
  journal={IEEE Transactions on Image Processing},
  year={2009},
  volume={18},
  pages={1179-1191}
}
In the field of image segmentation, most level-set-based active-contour approaches take advantage of a discrete representation of the associated implicit function. We present in this paper a different formulation where the implicit function is modeled as a continuous parametric function expressed on a B-spline basis. Starting from the active-contour energy functional, we show that this formulation allows us to compute the solution as a restriction of the variational problem on the space spanned… CONTINUE READING
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