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» On geometric interpolation of circle-like curves
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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 ...
CAGD
2007
69views more  CAGD 2007»
13 years 5 months ago
On geometric interpolation of circle-like curves
In this paper, geometric interpolation of certain circle-like curves by parametric polynomial curves is studied. It is shown that such an interpolating curve of degree n achieves ...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Emil ...
SMA
2009
ACM
166views Solid Modeling» more  SMA 2009»
13 years 11 months ago
A geometric criterion for smooth interpolation of curve networks
A key problem when interpolating a network of curves occurs at vertices: an algebraic condition called the vertex enclosure constraint must hold wherever an even number of curves ...
T. Hermann, J. Peters, T. Strotman
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
JAT
2006
84views more  JAT 2006»
13 years 5 months ago
Bivariate Lagrange interpolation at the Padua points: The generating curve approach
We give a simple, geometric and explicit construction of bivariate interpolation at certain points in a square (called Padua points), giving compact formulas for their fundamental...
Len Bos, Marco Caliari, Stefano De Marchi, Marco V...