Methods Of Shape Preserving Spline Approximation
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Methods Of Shape Preserving Spline Approximation
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Author : Boris I. Kvasov
language : en
Publisher: World Scientific
Release Date : 2000
Methods Of Shape Preserving Spline Approximation written by Boris I. Kvasov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
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.
Shape Preserving Approximation By Real And Complex Polynomials
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Author : Sorin G. Gal
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-09
Shape Preserving Approximation By Real And Complex Polynomials written by Sorin G. Gal 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 2010-06-09 with Mathematics categories.
First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography
Shape Preserving Approximation By Real And Complex Polynomials
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Author : Sorin Gal
language : en
Publisher: Birkhäuser
Release Date : 2010-11-16
Shape Preserving Approximation By Real And Complex Polynomials written by Sorin Gal and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-16 with Mathematics categories.
First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography
Mathematical Methods In Computer Aided Geometric Design
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Author : Tom Lyche
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Mathematical Methods In Computer Aided Geometric Design written by Tom Lyche and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway. This text contains papers based on the survey lectures, along with 33 full-length research papers. This book is composed of 39 chapters and begins with surveys of scattered data interpolation, spline elastic manifolds, geometry processing, the properties of Bézier curves, and Gröbner basis methods for multivariate splines. The next chapters deal with the principles of box splines, smooth piecewise quadric surfaces, some applications of hierarchical segmentations of algebraic curves, nonlinear parameters of splines, and algebraic aspects of geometric continuity. These topics are followed by discussions of shape preserving representations, box-spline surfaces, subdivision algorithm parallelization, interpolation systems, and the finite element method. Other chapters explore the concept and applications of uniform bivariate hermite interpolation, an algorithm for smooth interpolation, and the three B-spline constructions. The concluding chapters consider the three B-spline constructions, design tools for shaping spline models, approximation of surfaces constrained by a differential equation, and a general subdivision theorem for Bézier triangles. This book will prove useful to mathematicians and advance mathematics students.
Topics In Multivariate Approximation
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Author : C. K. Chui
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Topics In Multivariate Approximation written by C. K. Chui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.
Curve And Surface Fitting With Splines
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Author : Paul Dierckx
language : en
Publisher: Oxford University Press
Release Date : 1995
Curve And Surface Fitting With Splines written by Paul Dierckx and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.
The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, medicine, ...) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines. As such it gives a survey of possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular it is demonstrated in detail how the properties of B-splines can be fully exploited for improving the computational efficiency and for incorporating different boundary or shape preserving constraints. Special attention is also paid to strategies for an automatic and adaptive knot selection with intent to obtain serious data reductions. The practical use of the smoothing software is illustrated with many examples, academic as well as taken from real life.
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.
Mathematical Aspects Of Computer And Information Sciences
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Author : Ilias S. Kotsireas
language : en
Publisher: Springer
Release Date : 2016-04-16
Mathematical Aspects Of Computer And Information Sciences written by Ilias S. Kotsireas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-16 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, held in Berlin, Germany, in November 2015. The 48 revised papers presented together with 7 invited papers were carefully reviewed and selected from numerous submissions. The papers are grouped in topical sections on curves and surfaces, applied algebraic geometry, cryptography, verified numerical computation, polynomial system solving, managing massive data, computational theory of differential and difference equations, data and knowledge exploration, algorithm engineering in geometric computing, real complexity: theory and practice, global optimization, and general session.
Visual Informatics Bridging Research And Practice
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Author : Halimah Badioze Zaman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-02
Visual Informatics Bridging Research And Practice written by Halimah Badioze Zaman 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 2009-11-02 with Computers categories.
This book constitutes the refereed proceedings of the First International Visual Informatics Conference, IVIC 2009, held in Kuala Lumpur, Malaysia, in November 2009. The 82 revised research papers presented together with four invited keynote papers were carefully reviewed and selected from 216 submissions. The papers are organized in topical sections on virtual technologies and systems, virtual environment, visualization, engineering and simulation, as well as visual culture, services and society.
Handbook Of Computational Economics
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Author : Karl Schmedders
language : en
Publisher: Newnes
Release Date : 2013-12-31
Handbook Of Computational Economics written by Karl Schmedders and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Business & Economics categories.
Handbook of Computational Economics summarizes recent advances in economic thought, revealing some of the potential offered by modern computational methods. With computational power increasing in hardware and algorithms, many economists are closing the gap between economic practice and the frontiers of computational mathematics. In their efforts to accelerate the incorporation of computational power into mainstream research, contributors to this volume update the improvements in algorithms that have sharpened econometric tools, solution methods for dynamic optimization and equilibrium models, and applications to public finance, macroeconomics, and auctions. They also cover the switch to massive parallelism in the creation of more powerful computers, with advances in the development of high-power and high-throughput computing. Much more can be done to expand the value of computational modeling in economics. In conjunction with volume one (1996) and volume two (2006), this volume offers a remarkable picture of the recent development of economics as a science as well as an exciting preview of its future potential. Samples different styles and approaches, reflecting the breadth of computational economics as practiced today Focuses on problems with few well-developed solutions in the literature of other disciplines Emphasizes the potential for increasing the value of computational modeling in economics