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» Geometric interpolation by planar cubic polynomial curves
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CAGD
2007
75views more  CAGD 2007»
13 years 5 months ago
Geometric interpolation by planar cubic polynomial curves
The purpose of this paper is to provide sufficient geometric conditions that imply the existence of a cubic parametric polynomial curve which interpolates six points in the plane....
Jernej Kozak, Marjeta Krajnc
CAGD
2008
71views more  CAGD 2008»
13 years 5 months ago
Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves
In this paper, the geometric Lagrange interpolation of four points by planar cubic Pythagorean-hodograph (PH) curves is studied. It is shown that such an interpolatory curve exist...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
MOC
2010
13 years 3 days ago
On interpolation by Planar cubic G2 pythagorean-hodograph spline curves
In this paper, the geometric interpolation of planar data points and boundary tangent directions by a cubic G2 Pythagorean-hodograph (PH) spline curve is studied. It is shown, that...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
COMPGEOM
2004
ACM
13 years 9 months ago
Complete, exact, and efficient computations with cubic curves
The Bentley-Ottmann sweep-line method can be used to compute the arrangement of planar curves provided a number of geometric primitives operating on the curves are available. We d...
Arno Eigenwillig, Lutz Kettner, Elmar Schömer...
CAGD
2005
135views more  CAGD 2005»
13 years 5 months ago
Constrained space curve interpolation with constraint planes
We consider the interpolation of a given set of ordered space data points by a smooth curve in the presence ofa set offinite or infinite constraint planes, where the polyline join...
V. P. Kong, B. H. Ong