Equiform kinematics and the geometry of line elements

Boris Odehnal*, Helmut Pottmann, Johannes Wallner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The present paper studies Plücker coordinates for line elements in Euclidean three-space. The well known relation between line geometry and kinematics is generalized to equiform motions and the geometry of line elements. We consider bundles and linear complexes of line elements and survey their properties.

Original languageEnglish (US)
Pages (from-to)567-582
Number of pages16
JournalBeitrage zur Algebra und Geometrie
Volume47
Issue number2
StatePublished - Dec 1 2006

Keywords

  • Equiform kinematics
  • Line element
  • Line geometry
  • Linear complex
  • Spiral motion

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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