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CAGD
2008
158views more  CAGD 2008»
13 years 11 months ago
On the deviation of a parametric cubic spline interpolant from its data polygon
When fitting a parametric curve through a sequence of points, it is important in applications that the curve should not exhibit unwanted oscillations. In this paper we take the vi...
Michael S. Floater
CAGD
2007
156views more  CAGD 2007»
13 years 11 months ago
A control polygon scheme for design of planar C2 PH quintic spline curves
A scheme to specify planar C2 Pythagorean-hodograph (PH) quintic spline curves by control polygons is proposed, in which the “ordinary” C2 cubic B-spline curve serves as a ref...
Francesca Pelosi, Maria Lucia Sampoli, Rida T. Far...
CGF
2006
125views more  CGF 2006»
13 years 11 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels
CGF
2008
118views more  CGF 2008»
13 years 11 months ago
Manifold-valued Thin-Plate Splines with Applications in Computer Graphics
We present a generalization of thin-plate splines for interpolation and approximation of manifold-valued data, and demonstrate its usefulness in computer graphics with several app...
Florian Steinke, Matthias Hein, Jan Peters, Bernha...
DAGSTUHL
1997
14 years 7 days ago
Scattered Data Techniques for Surfaces
This survey presents several techniques for solving variants of the following scattered data interpolation problem: given a nite set of N points in R3, nd a surface that interpola...
Suresh K. Lodha, Richard Franke