A Practical Guide To Splines
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A Practical Guide To Splines
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Author : Carl De Boor
language : en
Publisher: Springer
Release Date : 1978
A Practical Guide To Splines written by Carl De Boor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Computers categories.
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.
A Practical Guide To Splines
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Author : Carl de Boor
language : en
Publisher: Springer
Release Date : 2001-12-13
A Practical Guide To Splines written by Carl de Boor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-13 with Mathematics categories.
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.
A Practical Guide To Splines
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Author : Carl de Boor
language : en
Publisher: Springer
Release Date : 2001-12-01
A Practical Guide To Splines written by Carl de Boor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-01 with Mathematics categories.
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.
Practical Smoothing
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Author : Paul H.C. Eilers
language : en
Publisher: Cambridge University Press
Release Date : 2021-03-18
Practical Smoothing written by Paul H.C. Eilers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-18 with Computers categories.
This user guide presents a popular smoothing tool with practical applications in machine learning, engineering, and statistics.
The Nurbs Book
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Author : Les Piegl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Nurbs Book written by Les Piegl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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.
An Introduction To Splines For Use In Computer Graphics And Geometric Modeling
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Author : Richard H. Bartels
language : en
Publisher: Morgan Kaufmann
Release Date : 1995-09
An Introduction To Splines For Use In Computer Graphics And Geometric Modeling written by Richard H. Bartels and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09 with Computers categories.
As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.
Handbook On Splines For The User
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Author : Eugene V. Shikin
language : en
Publisher: CRC Press
Release Date : 1995-07-14
Handbook On Splines For The User written by Eugene V. Shikin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-14 with Mathematics categories.
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.
A Practical Guide To Localization
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Author : Bert Esselink
language : en
Publisher: John Benjamins Publishing
Release Date : 2000
A Practical Guide To Localization written by Bert Esselink and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
Translation technology has evolved quickly with a large number of translation tools available. In this revised addition, much content has been added about translating and engineering HTML and XML documents, multilingual web sites, and HTML-based online help systems. Other major changes include the addition of chapters on internationalizatoi, software quailty assurance, descktop publishing and localization supprort. There is a focus on translators who want to learn about localization ad translation technology.
Approximation And Modeling With B Splines
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Author : Klaus Hollig
language : en
Publisher: SIAM
Release Date : 2015-07-01
Approximation And Modeling With B Splines written by Klaus Hollig and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Mathematics categories.
B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.
Box Splines
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Author : Carl de Boor
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Box Splines written by Carl de Boor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of one and several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of partial differential equations (in the Finite Element method) or the modeling of smooth sur faces (in Computer Aided Geometric Design). Since they are compactly supported, their linear span has the needed flexibility to approximate at all, and the systems to be solved in the construction of approximations are 'banded'. The construction of compactly supported smooth piecewise polynomials becomes ever more difficult as the dimension, s, of their domain G ~ IRs, i. e. , the number of arguments, increases. In the univariate case, there is only one kind of cell in any useful partition, namely, an interval, and its boundary consists of two separated points, across which polynomial pieces would have to be matched as one constructs a smooth piecewise polynomial function. This can be done easily, with the only limitation that the num ber of smoothness conditions across such a breakpoint should not exceed the polynomial degree (since that would force the two joining polynomial pieces to coincide). In particular, on any partition, there are (nontrivial) compactly supported piecewise polynomials of degree ~ k and in C(k-l), of which the univariate B-spline is the most useful example.