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. © Springer-Verlag 2003.
CITATION STYLE
Rieger, B., Van Vliet, L. J., & Verbeek, P. W. (2003). Estimation of curvature based shape properties of surfaces in 3D grey-value images. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2749, 262–267. https://doi.org/10.1007/3-540-45103-x_36
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