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osu1236615194.pdf (770.14 KB)
ETD Abstract Container
Abstract Header
Practicality of Discrete Laplace Operators
Author Info
Thangudu, Kedarnath
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1236615194
Abstract Details
Year and Degree
2009, Master of Science, Ohio State University, Computer Science and Engineering.
Abstract
One of the key topics in computer graphics and geometric optimization is surface representation and processing. Many recent advances in these areas are based on the Laplace-Beltrami operator on a surface. Discrete approximations of the operator such as the cotangent scheme are popular in applications like shape approximation and compact representation, mesh editing, surface smoothing, shape interpolation, watermarking etc. Belkin et al proposed a new algorithm for approximating the Laplace operator on a surface mesh with point-wise convergence, which, is not guaranteed in the cotangent schemes. In this thesis, we present an experimental study on how the performance of this method and its variants compare to that of the cotangent scheme under various scenarios like noise, boundary and sampling conditions. We use the diffusion distance metric to study the stability and the ground truth to measure the accuracy of these methods.
Committee
Yusu Wang, PhD (Advisor)
Tamal Dey, PhD (Committee Member)
Pages
49 p.
Subject Headings
Computer Science
Keywords
Laplace-Beltrami operator
;
Discrete Laplace operators
;
Diffusion distance.
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Citations
Thangudu, K. (2009).
Practicality of Discrete Laplace Operators
[Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1236615194
APA Style (7th edition)
Thangudu, Kedarnath.
Practicality of Discrete Laplace Operators.
2009. Ohio State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1236615194.
MLA Style (8th edition)
Thangudu, Kedarnath. "Practicality of Discrete Laplace Operators." Master's thesis, Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1236615194
Chicago Manual of Style (17th edition)
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Document number:
osu1236615194
Download Count:
1,635
Copyright Info
© 2009, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.