%0 Conference Proceedings
%4 sid.inpe.br/sibgrapi@80/2006/07.12.07.35
%2 sid.inpe.br/sibgrapi@80/2006/07.12.07.35.07
%@doi 10.1109/SIBGRAPI.2006.32
%T Parabolic Polygons and Discrete Affine Geometry
%D 2006
%A Craizer, Marcos,
%A Lewiner, Thomas,
%A Morvan, Jean-Marie,
%@affiliation Departamento de Matematica. PUC - Rio de Janeiro
%@affiliation Departamento de Matematica. PUC - Rio de Janeiro
%@affiliation Universite Claude Bernard. Lyon
%E Oliveira Neto, Manuel Menezes de,
%E Carceroni, Rodrigo Lima,
%B Brazilian Symposium on Computer Graphics and Image Processing, 19 (SIBGRAPI)
%C Manaus, AM, Brazil
%8 8-11 Oct. 2006
%I IEEE Computer Society
%J Los Alamitos
%S Proceedings
%K Affine Differential Geometry, Affine Curvature.
%X Geometry processing applications estimate the local geometry of objects using information localized at points. They usually consider information about the normal as a side product of the points coordinates. This work proposes parabolic polygons as a model for discrete curves, which intrinsically combines points and normals. This model is naturally affine invariant, which makes it particularly adapted to computer vision applications. This work introduces estimators for affine length and curvature on this discrete model and presents, as a proof-of-concept, an affine in- variant curve reconstruction.
%@language en
%3 AffineEstimators_Sibgrapi.pdf