A Practical Guide To Splines
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Author | : Carl De Boor |
Publisher | : Springer |
Total Pages | : 420 |
Release | : 1978 |
Genre | : Computers |
ISBN | : |
This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.
Author | : Carl de Boor |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2001-12-13 |
Genre | : Mathematics |
ISBN | : 9781461263333 |
This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.
Author | : C. De Boor |
Publisher | : |
Total Pages | : |
Release | : 1978 |
Genre | : |
ISBN | : |
Author | : C. De_Boor |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : |
Author | : Carl de Boor |
Publisher | : Springer |
Total Pages | : 348 |
Release | : 2001-12-01 |
Genre | : Mathematics |
ISBN | : 0387953663 |
This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.
Author | : Paul H.C. Eilers |
Publisher | : Cambridge University Press |
Total Pages | : 213 |
Release | : 2021-03-18 |
Genre | : Computers |
ISBN | : 1108482953 |
This user guide presents a popular smoothing tool with practical applications in machine learning, engineering, and statistics.
Author | : Les Piegl |
Publisher | : Springer Science & Business Media |
Total Pages | : 650 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3642592236 |
Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'URBS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.
Author | : Eugene V. Shikin |
Publisher | : CRC Press |
Total Pages | : 238 |
Release | : 1995-07-14 |
Genre | : Mathematics |
ISBN | : 9780849394041 |
Splines find ever increasing application in the numerical methods, computer-aided design, and computer graphics areas. The Handbook on Splines for the User not only provides an excellent introduction to basic concepts and methods but also includes the SplineGuide-a computer diskette that allows the reader to practice using important programs.These programs help the user to build interpolating and smoothing cubic and bicubic splines of all classes. Programs are described in Fortran for spline functions and C for geometric splines. The Handbook describes spline functions and geometric splines and provides simple, but effective algorithms. It covers virtually all of the important types of cubic and bicubic splines, functions, variables, curves, and surfaces. The book is written in a straightforward manner and requires little mathematical background. When necessary, the authors give theoretical treatments in an easy-to-use form. Through the Handbook on Splines for the User, introduce yourself to the exciting world of splines and learn to use them in practical applications and computer graphics.
Author | : Paul H.C. Eilers |
Publisher | : Cambridge University Press |
Total Pages | : 213 |
Release | : 2021-03-18 |
Genre | : Computers |
ISBN | : 1108686885 |
This is a practical guide to P-splines, a simple, flexible and powerful tool for smoothing. P-splines combine regression on B-splines with simple, discrete, roughness penalties. They were introduced by the authors in 1996 and have been used in many diverse applications. The regression basis makes it straightforward to handle non-normal data, like in generalized linear models. The authors demonstrate optimal smoothing, using mixed model technology and Bayesian estimation, in addition to classical tools like cross-validation and AIC, covering theory and applications with code in R. Going far beyond simple smoothing, they also show how to use P-splines for regression on signals, varying-coefficient models, quantile and expectile smoothing, and composite links for grouped data. Penalties are the crucial elements of P-splines; with proper modifications they can handle periodic and circular data as well as shape constraints. Combining penalties with tensor products of B-splines extends these attractive properties to multiple dimensions. An appendix offers a systematic comparison to other smoothers.
Author | : Sally L. Benjamin |
Publisher | : CRC Press |
Total Pages | : 680 |
Release | : 2001-02-21 |
Genre | : Law |
ISBN | : 1420026275 |
A Practical Guide to Understanding, Managing and Reviewing Environmental Risk Assessment Reports provides team leaders and team members with a strategy for developing the elements of risk assessment into a readable and beneficial report. The authors believe that successful management of the risk assessment team is a key factor is quality repor