@inproceedings{cf0941747b6e4d558cd7538243a996ed,
title = "Parabolic polygons and discrete affine geometry",
abstract = "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 invariant curve reconstruction.",
keywords = "Affine curvature, Affine differential geometry, Affine length, Curve reconstruction",
author = "Marcos Craizer and Thomas Lewiner and Morvan, {Jean Marie}",
year = "2006",
doi = "10.1109/SIBGRAPI.2006.32",
language = "English (US)",
isbn = "0769526861",
series = "Brazilian Symposium of Computer Graphic and Image Processing",
pages = "19--26",
booktitle = "Proceedings - SIBGRAPI 2006",
note = "SIBGRAPI 2006: 19th Brazilian Symposium on Computer Graphics and Image Processing ; Conference date: 08-10-2006 Through 11-10-2006",
}