%0 Conference Proceedings
%4 sid.inpe.br/banon/2004/07.21.21.31
%2 sid.inpe.br/banon/2004/07.21.21.31.47
%@doi 10.1109/SIBGRA.2004.1352968
%T Arc-length based curvature estimator
%D 2004
%A Lewiner, Thomas,
%A Gomes Júnior, João,
%A Lopes, Hélio,
%A Craizer, Marcos,
%@affiliation PUC-Rio, Departamento de Matematica, Rio de Janeiro -- Brazil,
%@affiliation INRIA, Geometrica Project, Sophia Antipolis -- France,
%E Araújo, Arnaldo de Albuquerque,
%E Comba, João Luiz Dihl,
%E Navazo, Isabel,
%E Sousa, Antônio Augusto de,
%B Brazilian Symposium on Computer Graphics and Image Processing, 17 (SIBGRAPI) - Ibero-American Symposium on Computer Graphics, 2 (SIACG)
%C Curitiba, PR, Brazil
%8 17-20 Oct. 2004
%I IEEE Computer Society
%J Los Alamitos
%S Proceedings
%K Differential Geometry, Curvature Estimation, Weighted Least-Squares, Geometry Processing.
%X Many applications of geometry processing and computer vision relies on geometric properties of curves, particularly their curvature. Several methods have been proposed to estimate the curvature of a planar curve, most of them for curves in digital spaces. This work proposes a new method for curvature estimation based on weighted least square fitting and local arclength approximation. Convergence analysis of this method and noise impact on the estimator accuracy are given. Numerical robustness issues are addressed with practical solutions. The implementation of the method is compared to other curvature estimation methods.
%@language en
%3 Curvature_Sibgrapi.pdf