ENGLISH

Axioms and Hulls

By Donald E. Knuth (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1992
ISBN
3540556117, 9783540556114
DOI
10.1007/3-540-55611-7
LCC
QA640.3 .K68 1992
Open Library ID
OL1717343M
Language
english
Format
DJVU
Filesize
987 kB (1010884 bytes)
Series
Lecture Notes in Computer Science 606
Edition
1
Pages
114\118
DPI
300
Time added
2011-01-06 10:13:16
Computer Graphics; Algorithm Analysis and Problem

Description

One way to advance the science of computational geometry is to make a comprehensive study of fundamental operations that are used in many different algorithms. This monograph attempts such an investigation in the case of two basic predicates: the counterclockwise relation pqr, which states that the circle through points (p, q, r) is traversed counterclockwise when we encounter the points in cyclic order p, q, r, p,...; and the incircle relation pqrs, which states that s lies inside that circle if pqr is true, or outside that circle if pqr is false. The author, Donald Knuth, is one of the greatest computer scientists of our time. A few years ago, he and some of his students were looking at amap that pinpointed the locations of about 100 cities. They asked, "Which ofthese cities are neighbors of each other?" They knew intuitively that some pairs of cities were neighbors and some were not; they wanted to find a formal mathematical characterization that would match their intuition.This monograph is the result.

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