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Improved Chan-Vese Image Segmentation Model Using Delta-Bar-Delta Algorithm

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Advanced Computing, Networking and Informatics- Volume 1

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 27))

Abstract

The level set based Chan-Vese algorithm primarily uses region information for successive evolutions of active contours of concern towards the object of interest and, in the process, aims to minimize the fitness energy functional associated with. Orthodox gradient descent methods have been popular in solving such optimization problems but they suffer from the lacuna of getting stuck in local minima and often demand a prohibited time to converge. This work presents a Chan-Vese model with a modified gradient descent search procedure, called the Delta-Bar-Delta learning algorithm, which helps to achieve reduced sensitivity for local minima and can achieve increased convergence rate. Simulation results show that the proposed search algorithm in conjunction with the Chan-Vese model outperforms traditional gradient descent and recently proposed other adaptation algorithms in this context.

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References

  1. Chan, T.F., Vese, L.A.: Active contours without edges. IEEE Transactions on Image Processing 10, 266–277 (2001)

    Article  MATH  Google Scholar 

  2. Chan, T.F., Sandberg, B.Y., Vese, L.A.: Active contours without edges for Vector-Valued Images. Journal of Visual Communication and Image Representation 11, 130–141 (2000)

    Article  Google Scholar 

  3. Andersson, T., Läthén, G., Lenz, R., Borga, M.: Modified Gradient Search for Level Set Based Image Segmentation. IEEE Transactions on Image Processing 22, 621–630 (2013)

    Article  MathSciNet  Google Scholar 

  4. Jian-jian, Q., Shi-hui, Y., Ya-Xin, P.: Conjugate gradient algorithm for Chan-Vese model. Communication on Applied Mathematics and Computation 27, 469–477 (2013)

    Google Scholar 

  5. Jacobs, R.A.: Increased rates of convergence through learning rate adaptation. Neural Networks 1, 295–307 (1988)

    Article  Google Scholar 

  6. Dice, L.R.: Measures of the Amount of Ecologic Association Between Species. Ecology 26, 297–302 (1945)

    Article  Google Scholar 

  7. Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79, 12–49 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active contour models. International Journal of Computer Vision 1, 321–331 (1988)

    Article  Google Scholar 

  9. Li, C., Huang, R., Ding, Z., Gatenby, J.C., Metaxas, D.N.: A Level Set Method for Image Segmentation in the Presence of Intensity Inhomogeneities With Application to MRI. IEEE Transactions on Image Processing 20, 2007–2016 (2011)

    Article  MathSciNet  Google Scholar 

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Correspondence to Devraj Mandal .

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© 2014 Springer International Publishing Switzerland

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Mandal, D., Chatterjee, A., Maitra, M. (2014). Improved Chan-Vese Image Segmentation Model Using Delta-Bar-Delta Algorithm. In: Kumar Kundu, M., Mohapatra, D., Konar, A., Chakraborty, A. (eds) Advanced Computing, Networking and Informatics- Volume 1. Smart Innovation, Systems and Technologies, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-319-07353-8_32

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  • DOI: https://doi.org/10.1007/978-3-319-07353-8_32

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07352-1

  • Online ISBN: 978-3-319-07353-8

  • eBook Packages: EngineeringEngineering (R0)

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