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» Three-monotone spline approximation
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CSDA
2004
119views more  CSDA 2004»
13 years 4 months ago
Bounded optimal knots for regression splines
Using a B-spline representation for splines with knots seen as free variables, the approximation to data by splines improves greatly. The main limitations are the presence of too ...
Nicolas Molinari, Jean-François Durand, Rob...
CGF
2006
125views more  CGF 2006»
13 years 5 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
GMP
2006
IEEE
131views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Least-Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process
The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. In order to solve this highly non-linear problem, we ...
Martin Aigner, Zbynek Sír, Bert Jüttle...
MICS
2007
90views more  MICS 2007»
13 years 4 months ago
Approximation by Conic Splines
Abstract. We show that the complexity of a parabolic or conic spline approximating a sufficiently smooth curve with non-vanishing curvature to within Hausdorff distance ε is c1ε...
Sunayana Ghosh, Sylvain Petitjean, Gert Vegter
IJCV
2006
79views more  IJCV 2006»
13 years 4 months ago
Splines in Higher Order TV Regularization
Splines play an important role as solutions of various interpolation and approximation problems that minimize special functionals in some smoothness spaces. In this paper, we show ...
Gabriele Steidl, Stephan Didas, Julia Neumann