## Computational geometry -- a survey (1984)

Venue: | IEEE TRANSACTIONS ON COMPUTERS |

Citations: | 19 - 3 self |

### BibTeX

@ARTICLE{Lee84computationalgeometry,

author = {D. T. Lee and Franco P. Preparata},

title = {Computational geometry -- a survey},

journal = {IEEE TRANSACTIONS ON COMPUTERS},

year = {1984},

volume = {33},

number = {12},

pages = {1072--1101}

}

### OpenURL

### Abstract

We survey the state of the art of computational geometry, a discipline that deals with the complexity of geometric problems within the framework of the analysis ofalgorithms. This newly emerged area of activities has found numerous applications in various other disciplines, such as computer-aided design, computer graphics, operations research, pattern recognition, robotics, and statistics. Five major problem areas-convex hulls, intersections, searching, proximity, and combinatorial optimizations-are discussed. Seven algorithmic techniques incremental construction, plane-sweep, locus, divide-andconquer, geometric transformation, prune-and-search, and dynamization-are each illustrated with an example.Acollection of problem transformations to establish lower bounds for geometric problems in the algebraic computation/decision model is also included.