Title | Convex Hulls of Algebraic Curves |
Year of Publication | 1992 |
Author(s) | |
Journal |
Proceedings of the SPIE Conference on Curves and Surfaces in Computer Vision and Graphics
|
Page(s) |
118-127
|
BibTex |
@inproceedings { 250,
title = {Convex Hulls of Algebraic Curves}, booktitle = {Proceedings of the SPIE Conference on Curves and Surfaces in Computer Vision and Graphics}, year = {1992}, pages = {118-127}, abstract = {A new algorithm based on curve tracing and decomposition techniques is presented for computing the convex hull of an algebraic curve defined implicitly by f(x,y)=0; the curve may have multiple components as well as singular points. The output is an ordered collection of line segments and sections of the curve represented by a sample point and interval bounds; this representation is suitable for rendering the convex hull by classical curve tracing techniques. Additionally, we present a point classification function for the convex hull based on Sturm sequences. Progress toward extending these results to algebraic surfaces is briefly discussed.}, author = {David Kriegman and Erliang Yeh and Jean Ponce} } |