1 September 1995 Wavelets and multiresolution analysis on sphere-like surfaces
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Abstract
We construct a multiresolution analysis and wavelets on the manifolds S2 and SO(3). For C1-functions on S2 we derive the differentiability conditions for the singular points of their coordinate representation depending on polar coordinates. This leads in a natural way to tensor products of E-spline wavelets and wavelets on the interval. By using quaternion parameterization the case of SO(3) is reduced to the case of S3, which can be dealt with in the same way as S2 using a special parameterization.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Eberhard Schmitt, Eberhard Schmitt, } "Wavelets and multiresolution analysis on sphere-like surfaces", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217639; https://doi.org/10.1117/12.217639
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