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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… Expand
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Related topics

Related topics

50 relations
Active contour modelB-splineBarycentric subdivisionBiarc
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
Fitting Linear Mixed-Effects Models Using lme4
Maximum likelihood or restricted maximum likelihood (REML) estimates of the parameters in linear mixed-effects models can be… Expand
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Highly Cited
2007
Highly Cited
2007
Spline functions on triangulations
  • M. Lai, L. Schumaker
  • Encyclopedia of mathematics and its applications
  • 2007
    • Corpus ID: 118697616
Preface 1. Bivariate polynomials 2. Bernstein-Bezier methods for bivariate polynomials 3. B-patches 4. Triangulations and… Expand
Highly Cited
2004
Highly Cited
2004
Snakes: Active contour models
A snake is an energy-minimizing spline guided by external constraint forces and influenced by image forces that pull it toward… Expand
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Highly Cited
1996
Highly Cited
1996
Support Vector Method for Function Approximation, Regression Estimation and Signal Processing
The Support Vector (SV) method was recently proposed for estimating regressions, constructing multidimensional splines, and… Expand
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Highly Cited
1994
Highly Cited
1994
Ideal spatial adaptation by wavelet shrinkage
SUMMARY With ideal spatial adaptation, an oracle furnishes information about how best to adapt a spatially variable estimator… Expand
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Highly Cited
1990
Highly Cited
1990
Curves and surfaces for computer aided geometric design
 
Highly Cited
1989
Highly Cited
1989
Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
  • F. Bookstein
  • IEEE Trans. Pattern Anal. Mach. Intell.
  • 1989
    • Corpus ID: 47302
The decomposition of deformations by principal warps is demonstrated. The method is extended to deal with curving edges between… Expand
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Highly Cited
1989
Highly Cited
1989
Optimal shape design as a material distribution problem
Shape optimization in a general setting requires the determination of the optimal spatial material distribution for given loads… Expand
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Highly Cited
1978
Highly Cited
1978
A Practical Guide to Splines
  • C. Boor
  • Applied Mathematical Sciences
  • 1978
    • Corpus ID: 122101452
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the… Expand
Highly Cited
1978
Highly Cited
1978
Smoothing noisy data with spline functions
SummarySmoothing splines are well known to provide nice curves which smooth discrete, noisy data. We obtain a practical… Expand
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