filename     : pg00_roth
entry        : inproceedings
pages        : 413-414
year         : 2000
title        : Triangular Bézier Clipping
author       : S. H. Martin Roth and Patrick Diezi and Markus H. Gross
booktitle    : PACIFIC GRAPHICS 2000 Proceedings
editor       : Brian A. Barsky and Yoshihisa Shinagawa and Wenping Wang
publisher    : IEEE Computer Society
language     : English
month        : October
keywords     : Bernstein-Bézier, Ray Tracing, Triangular Patches, Bézier Clipping
abstract     :
This short paper introduces a new approach to finding ray­patch intersections with triangular Bernstein­Bézier patches of arbitrary degree. Unlike a previous approach based on a combination of hierarchical subdivision and a Newton­like iteration scheme, this work extends the concept of Bézier clipping to the triangular domain.

The problem of reporting wrong intersections, inherent to the original Bézier clipping algorithm, is investigated and opposed to the triangular case. It turns out that reporting wrong hits is very improbable, even close to impossible, in the triangular set-up.