Mathematical analysis on affine maps for 2D shape interpolation

Shizuo Kaji; S. Hirose; S. Sakata; Yoshihiro Mizoguchi; K. Anjyo

Mathematical analysis on affine maps for 2D shape interpolation

Shizuo Kaji, S. Hirose, S. Sakata, Yoshihiro Mizoguchi, K. Anjyo

研究成果: Chapter in Book/Report/Conference proceeding › Conference contribution

抄録

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.

本文言語	英語
ホスト出版物のタイトル	Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012
編集者	Dieter W. Fellner
出版社	Association for Computing Machinery, Inc
ページ	71-76
ページ数	6
ISBN（電子版）	9783905674378
出版ステータス	出版済み - 7 29 2012
イベント	11th ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA 2012 - Lausanne, スイス継続期間: 7 29 2012 → 7 31 2012

その他

その他	11th ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA 2012
国/地域	スイス
City	Lausanne
Period	7/29/12 → 7/31/12

All Science Journal Classification (ASJC) codes

コンピュータビジョンおよびパターン認識
人間とコンピュータの相互作用
コンピュータグラフィックスおよびコンピュータ支援設計
ソフトウェア

他のファイルとリンク

引用スタイル

Mathematical analysis on affine maps for 2D shape interpolation. / Kaji, Shizuo; Hirose, S.; Sakata, S.; Mizoguchi, Yoshihiro; Anjyo, K.

Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012. ed. / Dieter W. Fellner. Association for Computing Machinery, Inc, 2012. p. 71-76.

研究成果: Chapter in Book/Report/Conference proceeding › Conference contribution

Kaji, S, Hirose, S, Sakata, S, Mizoguchi, Y & Anjyo, K 2012, Mathematical analysis on affine maps for 2D shape interpolation. in DW Fellner (ed.), Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012. Association for Computing Machinery, Inc, pp. 71-76, 11th ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA 2012, Lausanne, スイス, 7/29/12.

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Mathematical analysis on affine maps for 2D shape interpolation

抄録

その他

All Science Journal Classification (ASJC) codes

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