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 &GP. It is mapped via the Knutsson mapping to a continuous representation in which the curvatures are computed.
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© 2003 Springer-Verlag Berlin Heidelberg
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Rieger, B., van Vliet, L.J., Verbeek, P.W. (2003). Estimation of Curvature Based Shape Properties of Surfaces in 3D Grey-Value Images. In: Bigun, J., Gustavsson, T. (eds) Image Analysis. SCIA 2003. Lecture Notes in Computer Science, vol 2749. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45103-X_36
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DOI: https://doi.org/10.1007/3-540-45103-X_36
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