Computing principal direction fields as frame bundle cross sections

摘要

Essential information about the differential structure of smoothsurfaces is embodied in their principal curvature and principaldirection fields. A particular type of fibre bundle, a frame bundle, isdefined over estimated surface trace points and the computation of thesefields is presented as the determination of the appropriate crosssection through the frame bundle. Any approach to the recovery ofsurface structure must deal with the inherent limitations of localcomputations-an iterative constraint-satisfaction process is developedfor the reliable extraction of the principal-direction cross section.Present methods are applied to the synthetic images corrupted by noiseand to magnetic resonance imagery