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» On geometric interpolation of circle-like curves
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CAGD
2008
71views more  CAGD 2008»
14 years 9 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 ...
74
Voted
CAGD
2007
69views more  CAGD 2007»
14 years 9 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»
15 years 4 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
70
Voted
CAGD
2007
75views more  CAGD 2007»
14 years 9 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»
14 years 9 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...