Spline (mathematics)

Known as: Spline curve, Spline function, Linear spline 
In mathematics, a spline is a numeric function that is piecewise-defined by polynomial functions, and which possesses a high degree of smoothness at… (More)
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Active contour modelB-splineBarycentric subdivisionBiarc
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Papers overview

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Highly Cited
2005
Highly Cited
2005
Smoothing Noisy Data with Spline Functions *
I t is shown how to choose the smoothing parameter when a smoothing periodic spline of degree 2m -1 is used to reconstruct a… (More)
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Highly Cited
2003
Highly Cited
2003
T-splines and T-NURCCs
This paper presents a generalization of non-uniform B-spline surfaces called T-splines. T-spline control grids permit T-junctions… (More)
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Highly Cited
2002
Highly Cited
2002
Thin plate regression splines
I discuss the production of low rank smoothers for d 1 dimensional data, which can be fitted by regression or penalized… (More)
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Highly Cited
1999
Highly Cited
1999
SPLINES : A PERFECT FIT FOR SIGNAL / IMAGE PROCESSING
1. INTRODUCTION Finding a general mechanism for switching between the continuous and discrete signal domains is one of the… (More)
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Highly Cited
1997
Highly Cited
1997
Scattered Data Interpolation with Multilevel B-Splines
This paper describes a fast algorithm for scattered data interpolation and approximation. Multilevel B-splines are introduced to… (More)
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Highly Cited
1996
Highly Cited
1996
Automatic Reconstruction of B-Spline Surfaces of Arbitrary Topological Type
Creating freeform surfaces is a challenging task even with advanced geometric modeling systems. Laser range scanners offer a… (More)
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Highly Cited
1993
Highly Cited
1993
The L2-Polynomial Spline Pyramid
The first part of this paper is concerned with the derivation of general methods for the Lz approximation of signals by… (More)
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Highly Cited
1989
Highly Cited
1989
Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
One conventional tool for interpolating surfaces over scattered data, the thin-plate spline, has an elegant algebra expressing… (More)
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Highly Cited
1988
Highly Cited
1988
Hierarchical B-spline refinement
Refinement is usually advocated as a means of gaining finer control over a spline curve or surface during editing. For curves… (More)
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Highly Cited
1983
Highly Cited
1983
A Multiresolution Spline with Application to Image Mosaics
We define a multiresolution spline technique for combining two or more images into a larger image mosaic. In this procedure, the… (More)
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