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A faster-converging algorithm for image segmentation with a modified Chan-Vese model

Technical Report ·
DOI:https://doi.org/10.2172/1454974· OSTI ID:1454974
 [1];  [2]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
  2. Johns Hopkins Univ., Baltimore, MD (United States)

We propose an algorithm for segmentation of grayscale images. Our algorithm computes a solution to the convex, unconstrained minimization problem proposed by T. Chan., S. Esedoglu, and M. Nikolova in [1], which is closely related to the Chan-Vese level set algorithm for the Mumford-Shah segmentation model. Up to now this problem has been solved with a gradient descent method. Our approach is a quasi-Newton method based on the lagged diffusivity algorithm [2] for minimizing the total-variation functional for image denoising [3]. Our results show that our algorithm requires a much smaller number of iterations and less time to converge than gradient descent, and is able to segment noisy images correctly.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
DOE Contract Number:
AC52-06NA25396
OSTI ID:
1454974
Report Number(s):
LA-UR--07-07900
Country of Publication:
United States
Language:
English

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