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Iterative graph cuts for image segmentation with a nonlinear statistical shape prior.

Joshua C Chang1, Tom Chou2

  • 1Mathematical Biosciences Institute, The Ohio State University, Jennings Hall, 3rd Floor, 1735 Neil Avenue, Columbus, Ohio 43210.

Journal of Mathematical Imaging and Vision
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Summary
This summary is machine-generated.

Shape-based regularization uses kernel density estimation for image object delineation. This study recasts the energy functional for efficient minimization using graph cuts, improving noisy image analysis.

Keywords:
Image segmentationMMenergy minimizationgraph cutskernel density estimationstatistical shape prior

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Area of Science:

  • Computer Vision
  • Image Processing
  • Machine Learning

Background:

  • Shape-based regularization is effective for object delineation in noisy images using prior shape knowledge.
  • Kernel density estimation (KDE) is a natural method for specifying shape priors from a collection of shapes.

Purpose of the Study:

  • To develop a method for minimizing energy functionals derived from KDE shape priors.
  • To enable efficient and iterative minimization using graph cut algorithms.

Main Methods:

  • Recasting the energy functional from KDE into a minimizable form.
  • Utilizing graph cuts for iterative optimization.

Main Results:

  • The proposed method allows for efficient minimization of KDE-based shape priors.
  • The approach is suitable for iterative optimization using graph cuts.

Conclusions:

  • The study presents a novel approach to overcome limitations in minimizing KDE-based shape priors.
  • This method enhances the applicability of shape-based regularization in image analysis through efficient graph cut optimization.