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» Geometric interpolation by planar cubic polynomial curves
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CGF
2008
92views more  CGF 2008»
13 years 7 months ago
Pointwise radial minimization: Hermite interpolation on arbitrary domains
In this paper we propose a new kind of Hermite interpolation on arbitrary domains, matching derivative data of arbitrary order on the boundary. The basic idea stems from an interp...
Michael S. Floater, C. Schulz
JAT
2006
84views more  JAT 2006»
13 years 7 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...
CAD
2004
Springer
13 years 7 months ago
Curve fitting and fairing using conic splines
We present an efficient geometric algorithm for conic spline curve fitting and fairing through conic arc scaling. Given a set of planar points, we first construct a tangent contin...
Xunnian Yang
COMPGEOM
2009
ACM
14 years 2 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
TOMS
2008
87views more  TOMS 2008»
13 years 7 months ago
Efficient Contouring on Unstructured Meshes for Partial Differential Equations
We introduce three fast contouring algorithms for visualizing the solution of Partial Differential Equations based on the PCI (Pure Cubic Interpolant). The PCI is a particular pie...
Hassan Goldani-Moghaddam, Wayne H. Enright