Shape analysis on Lie groups with applications in computer animation
نویسندگان
چکیده
منابع مشابه
Shape Analysis on Lie Groups with Applications in Computer Animation
Shape analysis methods have in the past few years become very popular, both for theoretical exploration as well as from an application point of view. Originally developed for planar curves, these methods have been expanded to higher dimensional curves, surfaces, activities, character motions and many other objects. In this paper, we develop a framework for shape analysis of curves in Lie groups...
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Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood when the parameters of the objects are elements of a Euclidean vector space. This is certainly the case when the objects are described via landmarks or as a dense collection of boundary points. We have been developing ...
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ژورنال
عنوان ژورنال: Journal of Geometric Mechanics
سال: 2016
ISSN: 1941-4889
DOI: 10.3934/jgm.2016008