NDLI: ARAP++: an extension of the local/global approach to mesh parameterization

Content Provider	Springer Nature Link
Author	Wang, Zhao Luo, Zhong xuan Zhang, Jie lin Saucan, Emil
Copyright Year	2016
Abstract	Mesh parameterization is one of the fundamental operations in computer graphics (CG) and computeraided design (CAD). In this paper, we propose a novel local/global parameterization approach, ARAP++, for singleand multi-boundary triangular meshes. It is an extension of the as-rigid-as-possible (ARAP) approach, which stitches together 1-ring patches instead of individual triangles. To optimize the spring energy, we introduce a linear iterative scheme which employs convex combination weights and a fitting Jacobian matrix corresponding to a prescribed family of transformations. Our algorithm is simple, efficient, and robust. The geometric properties (angle and area) of the original model can also be preserved by appropriately prescribing the singular values of the fitting matrix. To reduce the area and stretch distortions for high-curvature models, a stretch operator is introduced. Numerical results demonstrate that ARAP++ outperforms several state-of-the-art methods in terms of controlling the distortions of angle, area, and stretch. Furthermore, it achieves a better visualization performance for several applications, such as texture mapping and surface remeshing.
Starting Page	501
Ending Page	515
Page Count	15
File Format	PDF
ISSN	20959184
Journal	Journal of Zhejiang University SCIENCE C
Volume Number	17
Issue Number	6
e-ISSN	20959230
Language	English
Publisher	Zhejiang University Press
Publisher Date	2016-06-11
Publisher Place	Hangzhou
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mesh parameterization Convex combination weights Stretch operator Jacobian matrix Computer Science Electrical Engineering Computer Hardware Computer Systems Organization and Communication Networks Electronics and Microelectronics, Instrumentation Communications Engineering, Networks
Content Type	Text
Resource Type	Article
Subject	Signal Processing Computer Networks and Communications Electrical and Electronic Engineering Hardware and Architecture

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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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