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Shape Prior Segmentation: Implementing Level Set with Shape Priors

Learn to implement level set segmentation with shape priors, define energy functional, and ensure numerical stability. Explore shape energy, evolution function, and pose parameters for accurate segmentation. Discover advanced methods like statistical shape models integration and multiple reference shapes.

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Shape Prior Segmentation: Implementing Level Set with Shape Priors

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  1. Level Set Segmentation with Shape Priors Jue Wang and Jiun-Hung Chen CSE/EE 577 Spring 2004

  2. Notes on Level Set • Steps for implementation • Define your own energy functional • Initialize the curve and surface • Evolve according to the numerical solution: • Continue until stopping criteria is reached

  3. Notes on Level Set • So the key is • Defining a good energy function according to your application • For basic image segmentation, the energy functional is usually defined as:

  4. Notes on Level Set • Numerical Implementation • Not easy to figure out but they’re in books, for example • Numerical stability should be also considered when you design your own energy function

  5. Segmentation with Shape Prior Reference shape Level set seg. w/o shape prior Level set seg. w/ shape prior Input image D. Cremers and S. Soatto. A pseudo-distance for shape priors in level set segmentation. IEEE Workshop on Variational, Geometric and Leve Set Methods in Computer Vision, 2003.

  6. Segmentation with Shape Prior • Basic Idea • Shape prior can be represented as another implicit function • The evolution of current is influenced by the distance between and . • Problem: how to define the distance

  7. Segmentation with Shape Prior • A Pseudo-distance • Shape energy: • Evolution function:

  8. Segmentation with Shape Prior • Pose parameters • Numerical solution help needed for this 

  9. Results • An image’s worth of thousands of words • An EXE is worth more

  10. Future Work • How to incorporate statistical shape models? • Have a bunch of reference shapes instead of one • X.M. et al. Integrating prior shape models into level-set approaches. Pattern Recognition Letters, April 2004.

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