APPROXIMATION OF LOGARITHMIC SPIRALS

Authors
BAUMGARTEN C FARIN G
Citation
C. Baumgarten et G. Farin, APPROXIMATION OF LOGARITHMIC SPIRALS, Computer aided geometric design, 14(6), 1997, pp. 515-532
Citations number
12
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
14
Issue
6
Year of publication
1997
Pages
515 - 532
Database
ISI
SICI code
0167-8396(1997)14:6<515:AOLS>2.0.ZU;2-0
Abstract
The radius of curvature of a logarithmic spiral is proportional to its are length, a property that is desirable for the design of aesthetic curves. We describe a method for approximating logarithmic spiral segm ents by rational cubic spline curves. This approach provides the tools for the construction of planar spline curves whose curvature radius p lot is continuous and close to piecewise linear. A number of examples illustrate the approximation method. (C) 1997 Elsevier Science B.V.