The generalized totally geodesic Radon transform and its application to texture analysis

The generalized totally geodesic Radon transform associates the mean values over spherical tori to a function f defined on S3⊂H, where the elements of S3 are considered as quaternions representing rotations. It is introduced into the analysis of crystallographic preferred orientation and identified...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2009-03, Vol.32 (4), p.379-394
Hauptverfasser:	Bernstein, Swanhild, Hielscher, Ralf, Schaeben, Helmut
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract harmonic analysis crystallography Differential geometry Exact sciences and technology Functional analysis Geometry Global analysis, analysis on manifolds harmonic analysis Mathematical analysis Mathematics Sciences and techniques of general use texture analysis Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds totally geodesic Radon transform
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