Practical spline approximation

  • M. G. Cox
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 965)


This two-part paper describes the use of polynomial spline functions for purposes of interpolation and approximation. The emphasis is on practical utility rather than detailed theory. Part I introduces polynomial splines, defines B-splines and treats the representation of splines in terms of B-splines. Part II deals with the statement and solution of spline interpolation and least squares spline approximation problems. It also discusses strategies for selecting particular solutions to spline approximation problems having nonunique solutions and techniques for automatic knot placement.


Spline Interpolation Divided Difference Polynomial Spline Triangular System Rank Deficiency 
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Copyright information

© Spring-Verlag 1982

Authors and Affiliations

  • M. G. Cox
    • 1
  1. 1.National Physical LaboratoryTeddingtonUK

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