@inproceedings{0db0ed91fa6640039aee4ff603843f98,

title = "Mathematical analysis on affine maps for 2D shape interpolation",

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.",

author = "S. Kaji and S. Hirose and S. Sakata and Y. Mizoguchi and K. Anjyo",

year = "2012",

month = jul,

day = "29",

language = "English",

series = "Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012",

publisher = "Association for Computing Machinery, Inc",

pages = "71--76",

editor = "Fellner, {Dieter W.}",

booktitle = "Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012",

note = "11th ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA 2012 ; Conference date: 29-07-2012 Through 31-07-2012",

}