NDLI: Efficient Homotopy Method for Total Variation Image Registration

Content Provider	IEEE Xplore Digital Library
Author	Jin Zhang Ke Chen Bo Yu
Copyright Year	2013
Description	Author affiliation: Dept. of Math. Sci., Univ. of Liverpool, Liverpool, UK (Ke Chen) \|\| Sch. of Math. Sci., Dalian Univ. of Technol., Dalian, China (Jin Zhang; Bo Yu)
Abstract	The so-called image registration is to find an optimal spatial transformation such that the transformed template image becomes similar to the reference image as much as possible. Several partial differential equations (PDEs) based variational methods can be used for deformable image registration, mainly differing in how regularization for deformation fields[1]. Regularization techniques based on total variation (TV) preserving discontinuities of the deformation field are useful to a class of problems where smoothness is less a concern. A previous study by C. Frohn-Schauf, S. Henn [2, 3] considered multigrid method and the sequential quadratic approximation on total variation based image registration. On one hand, although the approximation solutions obtained from C. Frohn-Schauf, S. Henn [2, 3] are visually pleasing, they may not fulfill the necessary condition for being a minimiser of the variational problem (4), we can refer to [12, $P_{660}].$ On the other hand, when the smoothing parameter β is very small, the corresponding Euler-Lagrange equation (EL)is very difficult to solve. In this paper, we propose a homotopy method to solve the resulting TV based EL equation and consider using curve tracking to select smoothing parameter β adaptively. Numerical experiments confirms that our proposed method can effectively find a highly accurate solution and produce excellent image registration results in terms of image quality.
Sponsorship	IEEE Wuhan Sect.
Starting Page	655
Ending Page	658
File Size	454163
Page Count	4
File Format	PDF
ISBN	9780769551258
DOI	10.1109/CSA.2013.159
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-14
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image registration Homotopy method Smoothing methods Total variation Educational institutions Prediction algorithms Mathematical model Approximation methods Regularization Equations
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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