Title
Real rational curves are not “unit speed”
Abstract
We prove that it is impossible to parameterize any real plane curve, other than a straight line, by rational functions of its arc length. The proof extends in a straightforward manner to real space curves of any dimension d ⩾ 3.
Year
DOI
Venue
1991
10.1016/0167-8396(91)90040-I
Computer Aided Geometric Design
Keywords
Field
DocType
unit speed,real rational curve
Topology,Line (geometry),Algebraic geometry,Parametrization,Arc length,Plane curve,Rational function,Mathematics
Journal
Volume
Issue
ISSN
8
2
Computer Aided Geometric Design
Citations 
PageRank 
References 
40
4.47
0
Authors
2
Name
Order
Citations
PageRank
Rida T. Farouki11396137.40
Takis Sakkalis234734.52