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Author: Thomas Nall Eden Greville
Publisher:
ISBN:
Category : Spline theory
Languages : en
Pages : 31
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Book Description
A more compact reformulation (probably not generalizable to higher degrees) is given of Schoenberg's explicit construction of interpolating cubic splines with equidistant nodes. (Author).
Author: Thomas Nall Eden Greville
Publisher:
ISBN:
Category : Spline theory
Languages : en
Pages : 31
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Book Description
A more compact reformulation (probably not generalizable to higher degrees) is given of Schoenberg's explicit construction of interpolating cubic splines with equidistant nodes. (Author).
Author: Gary D. Knott
Publisher: Springer Science & Business Media
ISBN: 9780817641009
Category : Computers
Languages : en
Pages : 316
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Book Description
The study of spline functions is an outgrowth of basic mathematical concepts arising from calculus, analysis and numerical analysis. Spline modelling affects a number of fields: statistics; computer graphics; CAD programming, and other areas of applied mathematics.
Author: I. J. Schoenberg
Publisher:
ISBN:
Category : Interpolation
Languages : en
Pages : 59
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Book Description
For both natural and complete equidistant cubic spline interpolation the respective interpolating spline is explicitly constructed in terms of cubic B-splines. (Author).
Author: Thomas Maindl
Publisher: Createspace Independent Publishing Platform
ISBN: 9781987487374
Category :
Languages : en
Pages : 90
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Book Description
This textbook will enable you to - discuss polynomial and spline interpolation - explain why using splines is a good method for interpolating data - construct cubic interpolating splines for your own projects It is a self-contained course for students who wish to learn about interpolating cubic splines and for lecturers who seek inspiration for designing a spline interpolation module. The book's innovative concept combines - a slide-based lecture with textual notes - a thorough introduction to the mathematical formalism - exercises - a "rocket science" project that implements constructing interpolating splines in Python for answering questions about the velocity, g-force, and covered distance after the first launch of SpaceX(R)' Falcon(R) Heavy Target group: STEM (science, technology, engineering, and math) students and lecturers at colleges and universities Contents: Preface 1 Cubic spline interpolation 2 Mini-script for constructing cubic splines 3 Spline exercises 4 The rocket launch project 5 Closing remarks Appendix A notebook for periodic cubic splines Index
Author: Boris I. Kvasov
Publisher: World Scientific
ISBN: 9789810240103
Category : Mathematics
Languages : en
Pages : 360
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Book Description
This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.
Author: Ingrid Melinder
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
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Book Description
Author: I. J. Schoenberg
Publisher: SIAM
ISBN: 9781611970555
Category : Mathematics
Languages : en
Pages : 131
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Book Description
As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms.
Author: Thomas Nall Eden Greville
Publisher: St. Pierre, Man. : Charles Babbage Research Centre
ISBN:
Category : Insurance
Languages : en
Pages : 388
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Book Description
Author: University of Wisconsin--Madison. Department of Statistics
Publisher:
ISBN:
Category :
Languages : en
Pages : 666
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Book Description
Author: Mathematics Research Center (United States. Army)
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 422
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Book Description
