Title
A Two-Dimensional Ellipse - Rectangle Intersection Test.
Abstract
We present an efficient algorithm for testing whether or not a filled rectangle and a filled ellipse intersect. The algorithm requires at most two evaluations of the quadratic polynomial that defines the ellipse and the execution of a few simple arithmetic expressions. The convexity and monotonicity properties of this polynomial are the main tools for the design of the algorithm.
Year
DOI
Venue
2002
10.1023/A:1021642308852
J. Math. Model. Algorithms
Keywords
Field
DocType
intersection tests, ellipses
Discrete mathematics,Monotonic function,Combinatorics,Mathematical optimization,Convexity,Polynomial,Rectangle,Quadratic function,Arithmetic expressions,Ellipse,Mathematics,The Intersect
Journal
Volume
Issue
ISSN
1
4
1572-9214
Citations 
PageRank 
References 
2
0.48
2
Authors
2
Name
Order
Citations
PageRank
Helmut Ratschek15313.49
Jon G. Rokne226345.63