A Practical Guide to Splines

, Volume 27
Springer, Nov 29, 2001 - Computers - 372 pages
This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines. After two chapters summarizing polynomial approximation, a rigorous discussion of elementary spline theory is given involving linear, cubic and parabolic splines. The computational handling of piecewise polynomial functions (of one variable) of arbitrary order is the subject of chapters VII and VIII, while chapters IX, X, and XI are devoted to B-splines. The distances from splines with fixed and with variable knots is discussed in chapter XII. The remaining five chapters concern specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting. The present text version differs from the original in several respects. The book is now typeset (in plain TeX), the Fortran programs now make use of Fortran 77 features. The figures have been redrawn with the aid of Matlab, various errors have been corrected, and many more formal statements have been provided with proofs. Further, all formal statements and equations have been numbered by the same numbering system, to make it easier to find any particular item. A major change has occured in Chapters IX-XI where the B-spline theory is now developed directly from the recurrence relations without recourse to divided differences. This has brought in knot insertion as a powerful tool for providing simple proofs concerning the shape-preserving properties of the B-spline series.

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when looking the "matlab help ",i find this book is referenced,so find it on the google books i think it must be useful and classic.

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obvious the best book for beginner, i read some other books on splines, no other is more easy to understand and rigorous as this one.

References from web pages

JSTOR: A Practical Guide to Splines.
CARL DE BOOR, A Practical Guide to Splines, Springer-Verlag, New York, 1978, xxiv + 392 pp., 23 cm. Price \$14.80. Up to now, there has been no comprehensive ...

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Corrections and emendations (as of 30jun07) for A Practical Guide ...
A Practical Guide to Splines (revised edition). by Carl de Boor. Each emendation is preceded by an ‘e’. All items are of the form. a/b/c: A --> B [C] ...
pages.cs.wisc.edu/ ~deboor/ pgsrev_errata.pdf

B-Splines and Geometric Design
De Boor's A Practical Guide to Splines became a bible of sorts in the geometric design community. It contained all the essential theory, ...
www.wpi.edu/ ~pwdavis/ sinews/ spline17.htm

de Boor, C., A Practical Guide to Splines. Applied Mathematical ...
nung. vicl. ZII. weiiig. %it. fur eine sorgfiiltige. und. ausfiilirliche. Ilarlcgiing tlcr Integralsatze von GAUSS nnd STOKES. Nit diesem ...
doi.wiley.com/ 10.1002/ zamm.19800600129

Electron angular distributions in two-photon double ionization of ...
9: DE BOOR C., A Practical Guide to Splines (Springer-Verlag, New York) 1978. 10: NIKOLOPOULOS laa AND LAMBROPOULOS P., to be published in J. Phys. ...
www.iop.org/ EJ/ article/ 0295-5075/ 54/ 6/ 722/ node6.html

Documentation for PCHIPS
C C [4] Carl de Boor, A Practical Guide to Splines, Springer-Verlag C (New York, 1978). [esp. Chapter IV, pp. 49-62.] C***REFERENCES 1. ...
orion.math.iastate.edu/ docs/ cmlib/ pchips.html

Literature
De Boor, C., A Practical Guide to Splines, Springer-Verlag, New York, 1978. Farin, G., Curves and surfaces for CAGD - a practical guide, Academic press, ...
www.dpo.uab.edu/ ~sgopals/ literature.htm

SUBROUTINE BSPP2D ( T, BCOEF, N, K, M, SCRTCH, BREAK, COEF, L ) C ...
SUBROUTINE BSPP2D ( T, BCOEF, N, K, M, SCRTCH, BREAK, COEF, L ) C FROM * A PRACTICAL GUIDE TO SPLINES * BY C. DE BOOR CALLS BSPLVB C THIS IS AN EXTENDED ...
ftp.rhrz.uni-bonn.de/ pub/ fortlib/ bspline/ bspp2d.f.Z

Phys. Rev. B 61, 4397 (2000): Lee et al. - One-way multigrid ...
C. De Boor, A Practical Guide to Splines (Springer-Verlag, New York, 1978), Vol. 5, pp. 173–182. L. Kleinman and dm Bylander, Phys. Rev. Lett. ...