NDLI: Parallelizable inpainting and refinement of diffeomorphisms using Beltrami holomorphic flow

Content Provider	IEEE Xplore Digital Library
Author	Tsz Wai Wong Xianfeng Gu Chan, T.F. Lok Ming Lui
Copyright Year	2011
Description	Author affiliation: Hong Kong University of Science and Technology, Office of the President, HKUST,, Clear Water Bay, Kowloon, Hong Kong (Chan, T.F.) \|\| The Chinese University of Hong Kong, Department of Mathematics, Room 207, Lady Shaw Building, CUHK, Shatin, Hong Kong (Lok Ming Lui) \|\| State University of New York at Stony Brook, Department of Computer Science, Room 2425, Computer Science Building, State University of New York at Stony Brook, 11794-4400, USA (Xianfeng Gu) \|\| University of California, Los Angeles Department of Mathematics, 520 Portola Plaza, Math Science Building 6363, UCLA, 90095, USA (Tsz Wai Wong)
Abstract	In this paper, we propose novel algorithms for inpainting and refinement of diffeomorphisms. We first represent a diffeomorphism by its Beltrami coefficient. Then it is possible to refine and inpaint the diffeomorphism by processing this Beltrami coefficient. With the inpainted/refined Beltrami coefficient, we construct a new diffeomorphism using the exact Beltrami holomorphic flow algorithm proposed in this paper. We apply our algorithms on several practical applications, which include the inpainting of a highly distorted diffeomorphism, the inpainting of image sequences of deforming shapes, the super-resolution of diffeomorphisms and the global parameterization of cortical surfaces by combining local parameterizations. Experiments show that our algorithm can solve these problems with natural and smooth results. We demonstrate how our proposed method can be widely applied in areas from texture mapping to video processing, and from computer graphics to medical imaging.
Starting Page	2383
Ending Page	2390
File Size	3754331
Page Count	8
File Format	PDF
ISBN	9781457711015
ISSN	15505499
e-ISBN	9781457711022
DOI	10.1109/ICCV.2011.6126521
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-11-06
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition Software

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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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