A concise parametrization of affine transformation

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1355-1373
Number of pages19
JournalSIAM Journal on Imaging Sciences
Volume9
Issue number3
DOIs
Publication statusPublished - Sep 7 2016

Fingerprint

Parametrization
Affine transformation
Computer graphics
Animation
Interpolation
C++
Interpolate
Motion
Generalization
Framework

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

A concise parametrization of affine transformation. / Kaji, Shizuo; Ochiai, Hiroyuki.

In: SIAM Journal on Imaging Sciences, Vol. 9, No. 3, 07.09.2016, p. 1355-1373.

Research output: Contribution to journalArticle

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