| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441495 | Computer Aided Geometric Design | 2013 | 21 Pages |
Abstract
Biarc curves are considered from the standpoints of the theory of spirals and Möbius maps. Parametrization and reference formulae, covering the whole variety of biarcs, are proposed. A region is constructed, enclosing all spirals with common circles of curvature at the endpoints. This region, named bilens, is bounded by two biarcs.
Graphical abstractFigure optionsDownload full-size imageDownload high-quality image (130 K)Download as PowerPoint slideHighlights► Simplest spirals, biarcs curves, are explored from the viewpoints of the theory of spirals and Möbius maps. ► Parametrization is proposed for the whole variety of biarcs. ► Region is constructed, bounded by two biarcs and enclosing all spirals with given G2G2 Hermite data.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
A.I. Kurnosenko,