@InProceedings{FreitasMoreSilv:2015:EsAfNo,
author = "Freitas, Nayane Carvalho and Morera, Dimas Mart{\'{\i}}nez and
Silva, Maria de Andrade Costa e",
affiliation = "{Universidade Federal de Alagoas} and {Universidade Federal de
Alagoas} and {Universidade Federal de Alagoas}",
title = "Estimating affine normal vectors in discrete surfaces",
booktitle = "Proceedings...",
year = "2015",
editor = "Segundo, Maur{\'{\i}}cio Pamplona and Faria, Fabio Augusto",
organization = "Conference on Graphics, Patterns and Images, 28. (SIBGRAPI)",
publisher = "Sociedade Brasileira de Computa{\c{c}}{\~a}o",
address = "Porto Alegre",
keywords = "Discrete Surface, Triangular B{\'e}zier Patch, Affine Normal
Vector.",
abstract = "The invariance of geometric properties is a crucial factor in many
areas of Mathematics, particularly in Computer Graphics. The
affine geometry has occupied a significant place in this field of
application, having an intermediate position between euclidean and
projective geometries. The affine geometry is a generalization of
the euclidean geometry, but it is simpler than projective
geometry, both from the analytical and computational point of
view. It can be used to describe many common operations in
Computer Graphics. However, we did not find in literature
estimators for affine geometric properties in discrete surfaces.
The proposal of this work is to search for affine invariants in
these surfaces, beginning with an estimate of the affine normal
vector. This estimate was obtained from a discrete representation
of the surface using as elements pieces of paraboloids instead of
planes.",
conference-location = "Salvador, BA, Brazil",
conference-year = "26-29 Aug. 2015",
language = "en",
ibi = "8JMKD3MGPBW34M/3JURL3H",
url = "http://urlib.net/ibi/8JMKD3MGPBW34M/3JURL3H",
targetfile = "affine.pdf",
urlaccessdate = "2024, Apr. 29"
}