CS 268 : Geometric Algorithms Handout
نویسنده
چکیده
Algorithms for triangulating polygons are important tools throughout computational geometry. Many problems involving polygons are simplified by partitioning the complex polygon into triangles, and then working with the individual triangles. The applications of such algorithms are well documented in papers involving visibility, motion planning, and computer graphics. The following notes give an introduction to triangulations and many related definitions and basic lemmas. Most of the definitions are based on a simple polygon, P, containing n edges, and hence n vertices. However, many of the definitions and results can be extended to a general arrangement of n line segments.
منابع مشابه
CS 268 : Geometric Algorithms
Given a polygonal subdivision of the plane and some query point, we would like to know which region (or edge or vertex) contains it. In one dimension, the problem reduces to locating a query point in a subdivision of the line into intervals, and is easily solved by binary search. We will look for a method to extend the idea of binary search into two dimensions. Given a subdivision with m edges,...
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