TY - JOUR
T1 - A concise parametrization of affine transformation
AU - Kaji, Shizuo
AU - Ochiai, Hiroyuki
N1 - Publisher Copyright:
© 2016 Society for Industrial and Applied Mathematics.
PY - 2016/9/7
Y1 - 2016/9/7
N2 - Good parametrizations of affine transformations are essential to interpolation, deformation, and analysis of shape, motion, and animation. It has been one of the central research topics in computer graphics. However, there is no single perfect method and each one has both advantages and disadvantages. In this paper, we propose a novel parametrization of affine transformations, which is a generalization to or an improvement of existing methods. Our method adds yet another choice to the existing toolbox and shows better performance in some applications. A C++ implementation is available to make our framework ready to use in various applications.
AB - Good parametrizations of affine transformations are essential to interpolation, deformation, and analysis of shape, motion, and animation. It has been one of the central research topics in computer graphics. However, there is no single perfect method and each one has both advantages and disadvantages. In this paper, we propose a novel parametrization of affine transformations, which is a generalization to or an improvement of existing methods. Our method adds yet another choice to the existing toolbox and shows better performance in some applications. A C++ implementation is available to make our framework ready to use in various applications.
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U2 - 10.1137/16M1056936
DO - 10.1137/16M1056936
M3 - Article
AN - SCOPUS:84989329005
VL - 9
SP - 1355
EP - 1373
JO - SIAM Journal on Imaging Sciences
JF - SIAM Journal on Imaging Sciences
SN - 1936-4954
IS - 3
ER -