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Refining Surface Curvature with Relaxation Labeling
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BibTeX
@MISC{And_refiningsurface,
author = {Richard Wilson And and Richard C. Wilson and Edwin R. Hancock},
title = {Refining Surface Curvature with Relaxation Labeling},
year = {}
}
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Abstract
Our main contributions in this paper are twofold. In the first instance, we demonstrate how H \Gamma K surface labelling can be realised using dictionary-based probabilistic relaxation. To facilitate this implementation we have developed a dictionary of feasible surface-label configurations. These configurations observe certain constraints on the contiguity of elliptic and hyperbolic regions, and, on the continuity and thinness of parabolic lines. The second contribution is to develop a statistical model which allows the relaxation scheme to be initialised using the probabilities of the different H \Gamma K labels. These probabilities model the assignment of curvature classes using surface normal information. They also capture uncertainties in the computation of surface curvature through the propagation of variance in the surface normal measurements. 1 Refining Surface Curvature with Relaxation Labeling Abstract Our main contributions in this paper are twofold. In the first instance, we demonstrate how H \Gamma K surface labelling can be realised using dictionary-based probabilistic relaxation. To facilitate this implementation we have developed a dictionary of feasible surface-label configurations. These configurations observe certain constraints on the contiguity of elliptic and hyperbolic regions, and, on the continuity and thinness of parabolic lines. The second contribution is to develop a statistical model which allows the relaxation scheme to be initialised using the probabilities of the different H \Gamma K labels. These probabilities model the assignment of curvature classes using surface normal information. They also capture uncertainties in the computation of surface curvature through the propagation of variance in the surface normal measurement...
Keyphrases
surface curvature dictionary-based probabilistic relaxation gamma surface labelling curvature class certain constraint second contribution surface normal information parabolic line main contribution different gamma label surface normal measurement first instance statistical model relaxation scheme hyperbolic region feasible surface-label configuration relaxation labeling abstract
