Error propagation in geometric constructions

J. Wallner*, R. Krasauskas, Helmut Pottmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

In this paper we consider error propagation in geometric constructions from a geometric viewpoint. First we study affine combinations of convex bodies: this has many applications concerning spline curves and surfaces defined by control points. Second, we study in detail the circumcircle of three points in the Euclidean plane. It turns out that the right geometric setting for this problem is Laguerre geometry and the cyclographic mapping, which provides a point model for sets of circles or spheres.

Original languageEnglish (US)
Pages (from-to)631-641
Number of pages11
JournalCAD Computer Aided Design
Volume32
Issue number11
DOIs
StatePublished - Sep 15 2000

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

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