Title: Estimation of curvature on surfaces in 3D grey-value images
Authors: B. Rieger, F.J. Timmermans, L.J.
in: E.F Deprettere et al. (eds.), Proc. ASCI
2002, 8th Annual Conf. of the
Advanced School for Computing and Imaging (Lochem, NL, June 19-21), ASCI,
Delft, 2001, 170-177.
In this paper we present a novel method to estimate curvature of iso grey-level
surfaces in grey-value images. Our method succeeds where isophote curvature
fails. There is neither a segmentation of the surface needed nor a parametric
model assumed. Our estimator works on the orientation field of the surface. This
orientation field and a description of local structure is obtained by the
Gradient Structure Tensor. The estimated orientation field has discontinuities
mod pi. It is mapped via the Knutsson mapping to a continuous representation.
The principal curvatures of the surface, a coordinate invariant property, are
computed in this mapped representation. An extensive evaluation shows that our
curvature estimation is robust even in the presence of noise, independent of the
scale of the object and furthermore the relative error stays small.
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