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» Geometric interpolation by planar cubic polynomial curves
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CAGD
2007
75views more  CAGD 2007»
13 years 6 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 6 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 25 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 6 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