Author: M. J. D. PowellPublisher:
ISBN:
Category :
Languages : en
Pages : 21
Book Description
A Review of Algorithms for Thin Plate Spline Interpolation in Two Dimensions
Author: M. J. D. PowellApproximation Theory and Optimization
Author: M. D. BuhmannPublisher: Cambridge University Press
ISBN: 9780521581905
Category : Mathematics
Languages : en
Pages : 238
Book Description
Michael Powell is one of the world's foremost figures in numerical analysis. This volume, first published in 1997, is derived from invited talks given at a meeting celebrating his 60th birthday and, reflecting Powell's own achievements, focuses on innovative work in optimisation and in approximation theory. The individual papers have been written by leading authorities in their subjects and are a mix of expository articles and surveys. They have all been reviewed and edited to form a coherent volume for this important discipline within mathematics, with highly relevant applications throughout science and engineering.
A New Iterative Algorithm for Thin Plate Spline Interpolation in Two Dimensions
Author: M. J. D. PowellPublisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 11
Book Description
Meshfree Approximation Methods with MATLAB
Author: Gregory E. FasshauerPublisher: World Scientific
ISBN: 981270633X
Category : Technology & Engineering
Languages : en
Pages : 520
Book Description
Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations.
Some Algorithms for Thin Plate Spline Interpolation to Functions of Two Variables
Author: M. J. D. PowellPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
The Mathematics of Surfaces IX
Author: Roberto CipollaPublisher: Springer Science & Business Media
ISBN: 1447104951
Category : Technology & Engineering
Languages : en
Pages : 510
Book Description
These proceedings collect the papers accepted for presentation at the bien nial IMA Conference on the Mathematics of Surfaces, held in the University of Cambridge, 4-7 September 2000. While there are many international con ferences in this fruitful borderland of mathematics, computer graphics and engineering, this is the oldest, the most frequent and the only one to concen trate on surfaces. Contributors to this volume come from twelve different countries in Eu rope, North America and Asia. Their contributions reflect the wide diversity of present-day applications which include modelling parts of the human body for medical purposes as well as the production of cars, aircraft and engineer ing components. Some applications involve design or construction of surfaces by interpolating or approximating data given at points or on curves. Others consider the problem of 'reverse engineering'-giving a mathematical descrip tion of an already constructed object. We are particularly grateful to Pamela Bye (at the Institue of Mathemat ics and its Applications) for help in making arrangements; Stephanie Harding and Karen Barker (at Springer Verlag, London) for publishing this volume and to Kwan-Yee Kenneth Wong (Cambridge) for his heroic help with com piling the proceedings and for dealing with numerous technicalities arising from large and numerous computer files. Following this Preface is a listing of the programme committee who with the help of their colleagues did much work in refereeing the papers for these proceedings.
Radial Basis Functions
Author: Martin D. BuhmannPublisher: Cambridge University Press
ISBN: 1139435248
Category : Mathematics
Languages : en
Pages : 271
Book Description
The author's aim is to give a thorough treatment from both the theoretical and practical implementation viewpoints. For example, he emphasises the many positive features of radial basis functions such as the unique solvability of the interpolation problem, the computation of interpolants, their smoothness and convergence and provides a careful classification of the radial basis functions into types that have different convergence
Two Dimensional Spline Interpolation Algorithms
Author: Helmuth SpäthPublisher: CRC Press
ISBN: 1439864721
Category : Computers
Languages : en
Pages : 312
Book Description
These volumes present a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided deisgn (CAD) and computer graphics.
Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop
Author: Fontanella FPublisher: World Scientific
ISBN: 9814547190
Category :
Languages : en
Pages : 380
Book Description
This volume consists of 24 refereed carefully edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy.The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design. A number of particular topics are included, like subdivision algorithms, constrained approximation and shape-preserving algorithms, thin plate splines, radial basis functions, treatment of scattered data, rational surfaces and offsets, blossoming, grid generation, surface reconstruction, algebraic curves and surfaces, and neural networks.
Meshfree Approximation Methods With Matlab (With Cd-rom)
Author: Gregory E FasshauerPublisher: World Scientific Publishing Company
ISBN: 9813101571
Category : Mathematics
Languages : en
Pages : 520
Book Description
Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods.The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.