TY - GEN

T1 - Mathematical analysis on affine maps for 2D shape interpolation

AU - Kaji, S.

AU - Hirose, S.

AU - Sakata, S.

AU - Mizoguchi, Y.

AU - Anjyo, K.

N1 - Publisher Copyright:
© The Eurographics Association 2012.

PY - 2012/7/29

Y1 - 2012/7/29

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84890907681&partnerID=8YFLogxK

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M3 - Conference contribution

AN - SCOPUS:84890907681

T3 - Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012

SP - 71

EP - 76

BT - Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012

A2 - Fellner, Dieter W.

PB - Association for Computing Machinery, Inc

T2 - 11th ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA 2012

Y2 - 29 July 2012 through 31 July 2012

ER -