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Reseach Article

Image Restoration and Topological Optimization

by Vaddimukkala Naga Bushanam, Dr. G. Samuel Vara Prasad Raju, Vaddimukkala Prasad
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 22 - Number 1
Year of Publication: 2011
Authors: Vaddimukkala Naga Bushanam, Dr. G. Samuel Vara Prasad Raju, Vaddimukkala Prasad
10.5120/2548-3492

Vaddimukkala Naga Bushanam, Dr. G. Samuel Vara Prasad Raju, Vaddimukkala Prasad . Image Restoration and Topological Optimization. International Journal of Computer Applications. 22, 1 ( May 2011), 17-21. DOI=10.5120/2548-3492

@article{ 10.5120/2548-3492,
author = { Vaddimukkala Naga Bushanam, Dr. G. Samuel Vara Prasad Raju, Vaddimukkala Prasad },
title = { Image Restoration and Topological Optimization },
journal = { International Journal of Computer Applications },
issue_date = { May 2011 },
volume = { 22 },
number = { 1 },
month = { May },
year = { 2011 },
issn = { 0975-8887 },
pages = { 17-21 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume22/number1/2548-3492/ },
doi = { 10.5120/2548-3492 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:08:17.085872+05:30
%A Vaddimukkala Naga Bushanam
%A Dr. G. Samuel Vara Prasad Raju
%A Vaddimukkala Prasad
%T Image Restoration and Topological Optimization
%J International Journal of Computer Applications
%@ 0975-8887
%V 22
%N 1
%P 17-21
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, The dissertation deals with the restoration techniques in Image Processing. Tychonoff Regularization method is one of the well known techniques followed in the last two decades. Recently the topological optimization has received the attention of many researchers in the recent past. More surprisingly, Image restoration and segmentation are achieved simultaneously with the help of topological gradient. In this method, the value of the diffusivity C in the smooth regions, the number of holes drilled in each iteration and the total numbers of holes are the main controlling parameters. A complete Mat lab code has been developed to implement our method. step 1 and 2 will give a brief history of Image Restoration techniques and step 3 will deal with topological optimization techniques and step 4 will discuss the implementation.

References
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  2. Kornprobst, p.etal. Nonlinear operations in Image Restoration, Preprint .
  3. Masmoudi.M and Samuel A., Image Processing using Topological optimization, preprint .
  4. Scerra, J.: Image Analysis and Mathematical Morphology, vol.2, Academic press, New York, Mc Graw –Hill, New York,(2010).
  5. Skolowski.J and Zochowski.A. Optimality condition for simultaneous topology and shape optimization, SIAM J. Control and optimization.42 (2008), 1198-1221.
  6. Bates, R.H.T., and McDonnell, M.J., 2011, Image Restoration and Reconstruction, Clarendon Press, Oxford.
  7. Jain, A.K., 2010, Fundamentals of Digital Image Processing, Prentice-Hall.
  8. G. Wang, M. W. Vannier, M. W. Skinner, M. G. P. Cavalcanti, G. Harding: Spiral CT image deblurring for cochlear implantation. To appear in IEEE Trans. on medical imaging.
Index Terms

Computer Science
Information Sciences

Keywords

Image Restoration Tychonoff Regularization smoothened solution Finite Element algorithms Gresh norm of sum of gradients