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CAGD
2006

On the singularity of a class of parametric curves

13 years 11 months ago
On the singularity of a class of parametric curves
We consider parametric curves that are represented by combination of control points and basis functions. We let a control point vary while the rest is held fixed. We show that the locus of the moving control point that yields a zero curvature point on the curve is a developable surface, the regression curve of which is the locus that guarantees a cusp on the curve. We also specify the surface that is described by those positions of the moving control point that yield a loop on the curve. Then we apply this approach to detect cusps, inflection points and loops of C-B
Imre Juhász
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CAGD
Authors Imre Juhász
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