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CORRESPONDENCE-BASED ANALYSIS OF 3D
DEFORMABLE SHAPES: METHODS AND APPLICATIONS
by
Ilya Eckstein
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(COMPUTER SCIENCE)
December 2007
Copyright 2007 Ilya Eckstein
Object Description
| Title | Correspondence-based analysis of 3D deformable shapes: methods and applications |
| Author | Eckstein, Ilya |
| Author email | ilyaeck@usc.edu |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Computer Science |
| School | Viterbi School of Engineering |
| Date defended/completed | 2007-09-04 |
| Date submitted | 2007 |
| Restricted until | Unrestricted |
| Date published | 2007-10-18 |
| Advisor (committee chair) | Kuo, C.C. Jay |
| Advisor (committee member) | Desbrun, Mathieu |
| Abstract | People have been studying shapes since the ancient times, using geometry to model those that already existed in the world and to create new ones. Today, with the power of modern computers, the task of capturing the world digitally and recreating it virtually is no longer science fiction. This challenging, but extremely important problem spans applications ranging from medical modeling and scientific visualization to computer-aided design, art and entertainment. However, to achieve that goal, we need better algorithms that can "understand" geometry.; This research focuses on applications involving geometry analysis that relies on the notion of shape correspondence. First, the problem of compressing time-varying isosurfaces is studied, and a region-based motion estimation method is employed to predict surface geometry from one frame to the next. Fundamentally, the suggested approach reduces the motion estimation problem to local rigid body registration. Next, to extend the context to the wider class of deformable bodies, a more general shape matching problem is studied. The proposed solution presents a general yet flexible deformation-based approach, with articulated shape matching used as the test bed application. Finally, we apply the aforementioned deformation framework to the challenging problem of cortical surface matching, one of the key problems in the field of brainmapping. The value of this approach over existing methods is demonstrated both for automatic and user-guided registration scenarios. |
| Keyword | geometry processing; computer graphics; medical image analysis |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m875 |
| Rights | Eckstein, Ilya |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Eckstein-20071018 |
| Archival file | uscthesesreloadpub_Volume35/etd-Eckstein-20071018.pdf |
Description
| Title | Page 1 |
| Full text | CORRESPONDENCE-BASED ANALYSIS OF 3D DEFORMABLE SHAPES: METHODS AND APPLICATIONS by Ilya Eckstein A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (COMPUTER SCIENCE) December 2007 Copyright 2007 Ilya Eckstein |
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