authors 
Forrest, Robin A. 
year 
1980 
title 
The Twisted Cubic Curve : A ComputerAided Geometric Design Approach 
source 
Computer Aided Design. July, 1980. vol. 12: pp. 165172 : ill. includes bibliography 
summary 
The twisted cubic curve has the attraction of combining both commonly used curve definitions, the conic section and the parametric cubic, in a single form. A definition of the twisted cubic is developed in terms of geometric `handles' convenient for CAD and independent of parametrization, analogous to a wellknown definition of conics. Conditions for the occurrence of asymptotes are investigated and shown to be considerably more complex than those for conics. Several more controllable subsets of the general curve are described. The paper concludes that use of the full generality of the twisted cubic is in most cases unjustified 
keywords 
computational geometry, curves, CAD, parametrization 
series 
CADline 
references 
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last changed 
2003/06/02 11:58 
