@InProceedings{MartínezMoreraCarvVelh:2007:ToMoTr,
author = "Mart{\'{\i}}nez Morera, Dimas and Carvalho, Paulo Cezar and
Velho, Luiz Carlos Pacheco Rodrigues",
affiliation = "IMPA and IMPA and IMPA",
title = "Geodesic B{\'e}zier Curves: a Tool for Modeling on
triangulations",
booktitle = "Proceedings...",
year = "2007",
editor = "Falc{\~a}o, Alexandre Xavier and Lopes, H{\'e}lio C{\^o}rtes
Vieira",
organization = "Brazilian Symposium on Computer Graphics and Image Processing, 20.
(SIBGRAPI)",
publisher = "IEEE Computer Society",
address = "Los Alamitos",
keywords = "geodesic B{\'e}zier curve, discrete geodesic, de Casteljau
algorithm, spline curves, free-form gesign.",
abstract = "We define a new class of curves, called geodesic B{\'e}zier
curves, that are suitable for modeling on manifold triangulations.
As a natural generalization of B{\'e}zier curves, the new curves
are as smooth as possible. We discuss the construction of C0 and
C1 piecewise B{\'e}zier splines. We also describe how to perform
editing operations, such as trimming, using these curves. Special
care is taken to achieve interactive rates for modeling tasks.",
conference-location = "Belo Horizonte, MG, Brazil",
conference-year = "7-10 Oct. 2007",
doi = "10.1109/SIBGRAPI.2007.38",
url = "http://dx.doi.org/10.1109/SIBGRAPI.2007.38",
language = "en",
ibi = "6qtX3pFwXQZG2LgkFdY/QVskc",
url = "http://urlib.net/ibi/6qtX3pFwXQZG2LgkFdY/QVskc",
targetfile = "morera-GeodesicBezierCurves.pdf",
urlaccessdate = "2024, Dec. 02"
}