Computing convex hull in a floating point arithmetic

Jerzy W. Jaromczyk; G. W. Wasilkowski

doi:10.1016/0925-7721(94)00017-4

Computing convex hull in a floating point arithmetic

Jerzy W. Jaromczyk
, G. W. Wasilkowski

Computer Science

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We present an algorithm which is numerically stable and optimal in time and space complexity for constructing the convex hull for a set of points on a plane. In contrast to existing numerically stable algorithms which return only an approximate hull, our algorithm constructs a polygon that is truly convex. The algorithm is simple and easy to implement. We assume a floating point arithmetic as a computation model.

Original language	English
Pages (from-to)	283-292
Number of pages	10
Journal	Computational Geometry: Theory and Applications
Volume	4
Issue number	5
DOIs	https://doi.org/10.1016/0925-7721(94)00017-4
State	Published - Oct 1994

Keywords

Convex hull
Numerical stability

ASJC Scopus subject areas

Computer Science Applications
Geometry and Topology
Control and Optimization
Computational Theory and Mathematics
Computational Mathematics

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10.1016/0925-7721(94)00017-4

Cite this

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title = "Computing convex hull in a floating point arithmetic",

abstract = "We present an algorithm which is numerically stable and optimal in time and space complexity for constructing the convex hull for a set of points on a plane. In contrast to existing numerically stable algorithms which return only an approximate hull, our algorithm constructs a polygon that is truly convex. The algorithm is simple and easy to implement. We assume a floating point arithmetic as a computation model.",

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AB - We present an algorithm which is numerically stable and optimal in time and space complexity for constructing the convex hull for a set of points on a plane. In contrast to existing numerically stable algorithms which return only an approximate hull, our algorithm constructs a polygon that is truly convex. The algorithm is simple and easy to implement. We assume a floating point arithmetic as a computation model.

KW - Convex hull

KW - Numerical stability

UR - https://www.scopus.com/pages/publications/0346777695

UR - https://www.scopus.com/pages/publications/0346777695#tab=citedBy

U2 - 10.1016/0925-7721(94)00017-4

DO - 10.1016/0925-7721(94)00017-4

M3 - Article

AN - SCOPUS:0346777695

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EP - 292

JO - Computational Geometry: Theory and Applications

JF - Computational Geometry: Theory and Applications

IS - 5

ER -

Computing convex hull in a floating point arithmetic

Abstract

Keywords

ASJC Scopus subject areas

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