Estimation of curvature based shape properties of surfaces in 3D grey-value images

Authors:
Bernd Rieger;Lucas J. van Vliet;Piet W. Verbeek
Affiliations:
Department of Applied Physics, Delft University of Technology, Delft, The Netherlands;Department of Applied Physics, Delft University of Technology, Delft, The Netherlands;Department of Applied Physics, Delft University of Technology, Delft, The Netherlands
Venue:
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Year:
2003

Citing 3
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Curvature Estimation of Surfaces in 3D Grey-Value Images

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Continuous orientation representation for arbitrary dimensions: a generalized knutsson mapping

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Abstract

Surfaces can be described locally and classified by their curvature values at every point. In this paper we investigate a grey-level based curvature estimator in combination with a sampling-error free integration technique of the curvature image. We compute shape descriptors as the bending energy and a global topological invariant, the Euler characterization. The integration of curvature values over the surface area is done by grey-volume integration. Our curvature estimator works on the orientation field of the surface, which does not require a segmentation of the surface. The estimated orientation fields has discontinuities mod π. It is mapped via the Knutsson mapping to a continuous representation in which the curvatures are computed.