# Robust polygon modelling

Research output: Contribution to journalArticle

17 Citations (Scopus)

### Abstract

The paper provides a set of algorithms for performing set operations on polygonal regions in the plane using standard floating-point arithmetic. The algorithms are robust, guaranteeing both topological consistency and numerical accuracy. Each polygon edge is modelled as an implicit or explicit polygonal curve which stays within some distance ß of the original line segment. If the curve is implicit, ß is bounded by a small multiple of the rounding unit. If the curves are explicit, the bound on ß may grow with the number of curves. One can mix implicit and explicit representations to suit the application.

Original language English (US) 546-566 21 CAD Computer Aided Design 25 9 https://doi.org/10.1016/0010-4485(93)90071-U Published - 1993 Yes

### Fingerprint

Polygon
Digital arithmetic
Curve
Modeling
Floating-point Arithmetic
Numerical Accuracy
Rounding
Line segment
Unit

### Keywords

• algorithms
• geometric modelling
• polygons

### ASJC Scopus subject areas

• Computer Graphics and Computer-Aided Design
• Industrial and Manufacturing Engineering
• Geometry and Topology

### Cite this

In: CAD Computer Aided Design, Vol. 25, No. 9, 1993, p. 546-566.

Research output: Contribution to journalArticle

Milenkovic, Victor. / Robust polygon modelling. In: CAD Computer Aided Design. 1993 ; Vol. 25, No. 9. pp. 546-566.
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