Title :
Construction of the Voronoi diagram for `one million´ generators in single-precision arithmetic
Author :
Sugihara, Kokishi ; Iri, Masao
Author_Institution :
Dept. of Math. Eng. & Inf. Phys., Tokyo Univ., Japan
fDate :
9/1/1992 12:00:00 AM
Abstract :
A numerically stable algorithm for constructing Voronoi diagrams in the plane is presented. In this algorithm higher priority is placed on the topological structure than on numerical values, so that, however large the numerical errors, the algorithm will never come across topological inconsistency and thus can always complete its task. The behavior of the algorithm is shown with examples, including one for as many as 106 generators
Keywords :
computational geometry; convergence of numerical methods; Voronoi diagram; numerically stable algorithm; single-precision arithmetic; topological structure; Algorithm design and analysis; Computational geometry; Error correction; Floating-point arithmetic; Physics education; Programming profession; Robustness;
Journal_Title :
Proceedings of the IEEE
