Topics in Numerical Analysis

Volume 965 of the series Lecture Notes in Mathematics pp 79-112


Practical spline approximation

  • M. G. CoxAffiliated withNational Physical Laboratory

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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.