Quadrature subroutines for splines and B-splines
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Quadrature subroutines for splines and B-splines

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Published by Dept. of Energy, Sandia Laboratories, for sale by the National Technical Information Service] in Albuquerque, N.M, [Springfield, Va .
Written in English


  • Splines

Book details:

Edition Notes

StatementDonald E. Amos, Numerical Mathematics Division 5642 ; prepared by Sandia Laboratories for the United States Department of Energy
SeriesSAND ; 79-1825
ContributionsUnited States. Dept. of Energy, Sandia Laboratories, Sandia Laboratories. Numerical Mathematics Division 5642
The Physical Object
Pagination12 p. :
Number of Pages12
ID Numbers
Open LibraryOL14883544M

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dbtpcf computes b-spline interpolation coefficients for nf sets of data stored in the columns of the array fcn. the b-spline coefficients are stored in the rows of bcoef however. each interpolation is based on the n abcissa stored in the array x, and the n+k knots stored in the array t. the order of each interpolation is k. INTRODUCTION Quadrature rules, for the integration of the product of a cubic B-spline with a well-behaved function, have already been described by Lewis.t Such formulae assume the knot spacing to be uniform and to extend beyond the integra- tion : B.A. Lewis. BSPLINE-FORTRAN -- Multidimensional B-Spline Interpolation of Data on a Regular Grid Toggle navigation "Quadrature subroutines for splines and B-splines",! Report SAND, Sandia Laboratories, December module bspline_sub_module use bspline_kinds_module, only. Quartic B-spline Differential Quadrature Method Alper Korkmaz1 ∗, A. Murat Aksoy2, ˙Idris Da g˘2 1C¸ankırı Karatekin University, Faculty of Science, Department of Mathematics,C¸ankırı, Turkey. 2 Eskis¸ehir Osmangazi University, Department of Mathematics and Computer Science, Eskis¸ehir, Turkey. (Received 26 March , accepted

Chapter 1 Splines and B-splines an introduction In this rst chapter, we consider the following fundamental problem: Given a set of points in the plane, determine a smooth curve that . Numerical Integration §1 The Newton-Cotes Rules §2 Composite Rules §3 Adaptive Quadrature §4 Gauss Quadrature and Spline Quadrature §5 Matlab’s Quadrature Tools An m-point quadrature rule Q for the definite integral I(f,a,b) = Zb a f(x)dx () is an approximation of the form IQ(f,a,b) = (b− a) Xm k=1 wkf(xk). (). Abstract. This paper is a continuation of the paper [1] of the same name by the first author in which it is shown how values of B-splines and their derivatives can be computed by stable algorithms based on recursions involving only convex combinations of nonnegative quantities (cf. also Cox [3]).Cited by: () Dual and approximate dual basis functions for B-splines and NURBS – Comparison and application for an efficient coupling of patches with the isogeometric mortar method. Computer Methods in Applied Mechanics and Engineering , Cited by:

Lectur e # Natural Splines, B-Splines, and NURBS Prof. James OÕBrien Univ ersity of Calif ornia, Berk eley VS Natural Splines Dra w a ÒsmoothÓ line thr ough se veral points 2 A real draftsmanÕ s spline. Image fr om Carl de BoorÕ s Size: 2MB. An Introduction to Splines 1 Linear Regression Simple Regression and the Least Squares Method Least Squares Fitting in R Polynomial Regression 2 Smoothing Splines Simple Splines B-splinesFile Size: KB. B-spline curves evaluated using the de Boor algorithm – Named after Carl de Boor who did pioneering work on B-splines – Algorithm uses repeated linear interpolation Let evaluation parameter u be within domain knots Determine the index I such that u I ≤ u. The book is primarily about bivariate polynomial splines on triangulations, but for the sake of completeness, and to provide numerical tools for comparison purposes, I have included chapters on univariate splines, tensor-product splines, and splines on spherical triangulations. The material is organizedas follows. Chapter1deals.