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Multiplicative Multiresolution Analysis for Lie-group Valued Data Indexed by a Euclidean Parameter

Stodden, Victoria C.

Lie-valued euclidean indexed data. These data might be: phase angles as functions of time or space, for example compass directions; 3D orientations of a rigid frame of reference as a function of time or space; or, quaternions as a function of time or space. This can also be extended to quotients of lie groups which gives us the ability to model points on S2, the unit sphere, as functions of time or space.

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December 12, 2012

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Presented at the Joint IDR-IMA Workshop Ideal Data Representation, University of Minnesota, April 9-13, 2001.