Mathematical Analysis on Affine Maps for 2D Shape Interpolation
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
This paper gives a simple mathematical framework for 2D shape interpolation methods that preserve rigidity. An interpolation technique in this framework works for given the source and target 2D shapes, which are compatibly triangulated. Focusing on the local affine maps between the corresponding triangles, we describe a global transformation as a piecewise affine map. Several existing rigid shape interpolation techniques are discussed and mathematically analyzed through this framework. This gives us not only a useful comprehensive understanding of existing approaches, but also new algorithms and a few improvements of previous approaches.
Description
@inproceedings{:10.2312/SCA/SCA12/071-076,
booktitle = {Eurographics/ ACM SIGGRAPH Symposium on Computer Animation},
editor = {Jehee Lee and Paul Kry},
title = {{Mathematical Analysis on Affine Maps for 2D Shape Interpolation}},
author = {Kaji, Shizuo and Hirose, Sampei and Sakata, Shigehiro and Mizoguchi, Yoshihiro and Anjyo, Ken},
year = {2012},
publisher = {The Eurographics Association},
ISSN = {1727-5288},
ISBN = {978-3-905674-37-8},
DOI = {/10.2312/SCA/SCA12/071-076}
}