Convex Hulls of Algebraic Curves

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
PDF
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}
}