By Topic

Curvature estimation of surfaces in 3D grey-value images

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

4 Author(s)
B. Rieger ; Dept. of Appl. Phys., Delft Univ. of Technol., Netherlands ; F. J. Timmermans ; L. J. van Vliet ; P. W. Verbeek

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 (normal vector) 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 π. 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 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.

Published in:

Pattern Recognition, 2002. Proceedings. 16th International Conference on  (Volume:1 )

Date of Conference: