Incorporating User Interaction and Topological Constraints within Contour Completion via Discrete Calculus

@article{Xu2013IncorporatingUI,
  title={Incorporating User Interaction and Topological Constraints within Contour Completion via Discrete Calculus},
  author={Jia Xu and Maxwell D. Collins and Vikas Singh},
  journal={2013 IEEE Conference on Computer Vision and Pattern Recognition},
  year={2013},
  pages={1886-1893}
}
We study the problem of interactive segmentation and contour completion for multiple objects. The form of constraints our model incorporates are those coming from user scribbles (interior or exterior constraints) as well as information regarding the topology of the 2-D space after partitioning (number of closed contours desired). We discuss how concepts from discrete calculus and a simple identity using the Euler characteristic of a planar graph can be utilized to derive a practical algorithm… CONTINUE READING
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