d i g i t a l SRC Research Report 37

Ruler, Compass, and Computer: The Design and Analysis of Geometric Algorithms.


Leonidas J. Guibas and Jorge Stolfi.

February 14, 1989
55 pages

In this paper the authors endeavor to convey the flavor of techniques, especially recent ones, that have been found useful in designing and analyzing efficient geometric algorithms. Each technique is presented by means of a worked out example. The paper presupposes some elementary knowledge of algorithmic geometric techniques and a more advanced knowledge of classical data structures. The aim is to share with the reader some of the excitement that permeates one of the most active areas in theoretical computer science today, namely the field of Computational Geometry. The paper is based on a series of lectures delivered at the 1987 NATO Symposium on Theoretical Foundations of Computer Graphics and CAD.

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