THE BISECTOR SURFACE OF RATIONAL SPACE-CURVES

Authors
ELBER G KIM MS
Citation
G. Elber et Ms. Kim, THE BISECTOR SURFACE OF RATIONAL SPACE-CURVES, ACM transactions on graphics, 17(1), 1998, pp. 32-49
Citations number
9
Categorie Soggetti
Computer Science Software Graphycs Programming","Computer Science Software Graphycs Programming
Journal title
ACM transactions on graphics → ACNP
ISSN journal
07300301
Volume
17
Issue
1
Year of publication
1998
Pages
32 - 49
Database
ISI
SICI code
0730-0301(1998)17:1<32:TBSORS>2.0.ZU;2-C
Abstract
Given a point and a rational curve in the plane, their bisector curve is rational [Farouki and Johnstone 1994a]. However, in general, the bi sector of two rational curves in the plane is not rational [Farauki an d Johnstone 1994b]. Given a point and a rational space curse. this art icle shows that the bisector surface is a rational ruled surface. More over, given two rational space curves, we show that the bisector surfa ce is rational (except for the degenerate case in which the two curves are coplanar).