Spline Functions: Basic Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Spline Functions: Basic Theory PDF full book. Access full book title Spline Functions: Basic Theory by Larry Schumaker. Download full books in PDF and EPUB format.
Author: Larry Schumaker
Publisher: Cambridge University Press
ISBN: 1139463438
Category : Mathematics
Languages : en
Pages : 524
Get Book Here
Book Description
This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.
Author: Larry Schumaker
Publisher: Cambridge University Press
ISBN: 1139463438
Category : Mathematics
Languages : en
Pages : 524
Get Book Here
Book Description
This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.
Author: K. Böhmer
Publisher: Springer
ISBN: 3540380736
Category : Mathematics
Languages : en
Pages : 427
Get Book Here
Book Description
Author: Steve Baigent
Publisher: Springer Nature
ISBN: 3030601072
Category : Mathematics
Languages : en
Pages : 440
Get Book Here
Book Description
This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the history and more recent developments for a particular topic, such as chaos, bifurcation theory, monotone dynamics, and global stability. Other chapters cover the latest personal research contributions of the author(s) in their particular area of expertise and range from the more technical articles on abstract systems to those that discuss the application of difference equations to real-world problems. The book is of interest to both Ph.D. students and researchers alike who wish to keep abreast of the latest developments in difference equations and discrete dynamical systems.
Author: Hartmut Prautzsch
Publisher: Springer Science & Business Media
ISBN: 3662049198
Category : Computers
Languages : en
Pages : 299
Get Book Here
Book Description
This book provides a solid and uniform derivation of the various properties Bezier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design and provides a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.
Author: Boris I. Kvasov
Publisher: World Scientific
ISBN: 9789810240103
Category : Mathematics
Languages : en
Pages : 360
Get Book Here
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: G.V. Milovanovic
Publisher: Springer Science & Business Media
ISBN: 9780792348450
Category : Mathematics
Languages : en
Pages : 540
Get Book Here
Book Description
Presents 33 papers, many of which came from a June 1996 conference held in Yugoslavia in honor of Professor Dragoslav S. Mitrinovic (1908-1995). Representative topics include applications of complex polynomials and maximal ranges, Vietoris's inequalities and hypergeometric series, Shapiro's inequality, the second largest eigenvalue of star-like trees, logarithmic concavity of distribution functions, and inequalities involving harmonic numbers. Of interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis, as well as to graduate students requiring the latest results in the field. No subject index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Wolfgang Dahmen
Publisher: Springer Science & Business Media
ISBN: 9400920172
Category : Mathematics
Languages : en
Pages : 537
Get Book Here
Book Description
Assembled here is a collection of articles presented at a NATO ADVANCED STU DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989. In addition to the editors of these proceedings Professor Larry L. Schumaker from Vanderbilt University, Nashville, Tennessee, served as a member of the international organizing committee. The contents of the contribu tions fall within the heading of COMPUTATION OF CURVES AND SURFACES and therefore address mathematical and computational issues pertaining to the dis play, modeling, interrogation and representation of complex geometrical objects in various scientific and technical environments. As is the intent of the NATO ASI program the meeting was two weeks in length and the body of the scientific activities was organized around prominent experts. Each of them presented lectures on his current research activity. We were fortunate to have sixteen distinguished invited speakers representing nine NATO countries: W. Bohm (Federal Republic of Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R. Goldman (Canada), T.N.T. Goodman (UK), J.A. Gregory (UK), C. Hoffman (USA), J. Hoschek (Federal Republic of Germany), A. Le Mehaute (France), T. Lyche (Norway), C.A. Micchelli (USA), 1.1. Schumaker (USA), C. Traas (The Netherlands). The audience consisted of both young researchers as well as established scientists from twelve NATO countries and several non-NATO countries.
Author: Sambhunath Biswas
Publisher: Springer Science & Business Media
ISBN: 1846289572
Category : Computers
Languages : en
Pages : 250
Get Book Here
Book Description
This book deals with various image processing and machine vision problems efficiently with splines and includes: the significance of Bernstein Polynomial in splines, detailed coverage of Beta-splines applications which are relatively new, Splines in motion tracking, various deformative models and their uses. Finally the book covers wavelet splines which are efficient and effective in different image applications.
Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 554
Get Book Here
Book Description
Author: Tom Lyche
Publisher: Academic Press
ISBN: 1483257983
Category : Mathematics
Languages : en
Pages : 649
Get Book Here
Book Description
Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and Bézier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.
