@InProceedings{EstradaSarlabousHerMarVelLóp:2011:GeCoSu,
author = "Estrada Sarlabous, Jorge and Hern{\'a}ndez Mederos, Victoria and
Mart{\'{\i}}nez, Dimas and Velho, Luiz Carlos Pacheco Rodrigues
and L{\'o}pez Gil, Nayla",
affiliation = "ICIMAF and ICIMAF and UFAL and IMPA and ICIMAF",
title = "Geodesic conic subdivision curves on surfaces",
booktitle = "Proceedings...",
year = "2011",
editor = "Lewiner, Thomas and Torres, Ricardo",
organization = "Conference on Graphics, Patterns and Images, 24. (SIBGRAPI)",
publisher = "IEEE Computer Society",
address = "Los Alamitos",
keywords = "geodesic, conic, subdivision curve.",
abstract = "In this paper we present a nonlinear curve subdivision scheme,
suitable for designing curves on surfaces. Starting with a
geodesic control polygon with vertices on a surface, the scheme
generates a sequence of geodesic polygons that converges to a
continuous curve on the surface. In the planar case, the limit
curve is a conic Bezier spline curve. Each section of the
subdivision curve, corresponding to three consecutive points of
the control polygon, depends on a free parameter which can be used
to obtain a local control of the shape of the curve. Furthermore,
it has the convex hull property. Results are extended to
triangulated surfaces showing that the scheme is suitable for
designing curves on these surfaces.",
conference-location = "Macei{\'o}, AL, Brazil",
conference-year = "28-31 Aug. 2011",
doi = "10.1109/SIBGRAPI.2011.18",
url = "http://dx.doi.org/10.1109/SIBGRAPI.2011.18",
language = "en",
ibi = "8JMKD3MGPBW34M/3A3FH8L",
url = "http://urlib.net/ibi/8JMKD3MGPBW34M/3A3FH8L",
targetfile = "subdivisionconicaSIBGRAPIfinal.pdf",
urlaccessdate = "2024, Apr. 30"
}