Curve and Surface Fitting with Splines
Curve and Surface Fitting with Splines

Author: Paul Dierckx

Publisher: Oxford University Press

Published: 1995

Total Pages: 308

ISBN-13: 9780198534402

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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.

Modeling of Curves and Surfaces with MATLAB®
Modeling of Curves and Surfaces with MATLAB®

Author: Vladimir Rovenski

Publisher: Springer Science & Business Media

Published: 2010-06-10

Total Pages: 463

ISBN-13: 0387712771

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This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Applied Optimization with MATLAB Programming
Applied Optimization with MATLAB Programming

Author: P. Venkataraman

Publisher: John Wiley & Sons

Published: 2009-03-23

Total Pages: 546

ISBN-13: 047008488X

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Technology/Engineering/Mechanical Provides all the tools needed to begin solving optimization problems using MATLAB® The Second Edition of Applied Optimization with MATLAB® Programming enables readers to harness all the features of MATLAB® to solve optimization problems using a variety of linear and nonlinear design optimization techniques. By breaking down complex mathematical concepts into simple ideas and offering plenty of easy-to-follow examples, this text is an ideal introduction to the field. Examples come from all engineering disciplines as well as science, economics, operations research, and mathematics, helping readers understand how to apply optimization techniques to solve actual problems. This Second Edition has been thoroughly revised, incorporating current optimization techniques as well as the improved MATLAB® tools. Two important new features of the text are: Introduction to the scan and zoom method, providing a simple, effective technique that works for unconstrained, constrained, and global optimization problems New chapter, Hybrid Mathematics: An Application, using examples to illustrate how optimization can develop analytical or explicit solutions to differential systems and data-fitting problems Each chapter ends with a set of problems that give readers an opportunity to put their new skills into practice. Almost all of the numerical techniques covered in the text are supported by MATLAB® code, which readers can download on the text's companion Web site www.wiley.com/go/venkat2e and use to begin solving problems on their own. This text is recommended for upper-level undergraduate and graduate students in all areas of engineering as well as other disciplines that use optimization techniques to solve design problems.

Curve and Surface Fitting
Curve and Surface Fitting

Author: Peter Lancaster

Publisher:

Published: 1986

Total Pages: 296

ISBN-13:

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The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use.

Basics of MATLAB
Basics of MATLAB

Author: Dr. Mukesh Tiwari, Dr. Jaikaran Singh

Publisher: Nitya Publications

Published: 2020-01-01

Total Pages: 234

ISBN-13: 9390699932

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MATLAB stands for Matrix Laboratory. It is a term used in technical computing of high efficiency. Cleve Molar of MathWorks.Inc built this system in 1984. In 1984. It's in the C, C++, and Java. It permits matrix manipulation, function detection, algorithm implementation, and user interface design.

Fundamentals of Graphics Using MATLAB
Fundamentals of Graphics Using MATLAB

Author: Ranjan Parekh

Publisher: CRC Press

Published: 2019-11-26

Total Pages: 427

ISBN-13: 042959173X

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This book introduces fundamental concepts and principles of 2D and 3D graphics and is written for undergraduate and postgraduate students of computer science, graphics, multimedia, and data science. It demonstrates the use of MATLAB® programming for solving problems related to graphics and discusses a variety of visualization tools to generate graphs and plots. The book covers important concepts like transformation, projection, surface generation, parametric representation, curve fitting, interpolation, vector representation, and texture mapping, all of which can be used in a wide variety of educational and research fields. Theoretical concepts are illustrated using a large number of practical examples and programming codes, which can be used to visualize and verify the results. Key Features: Covers fundamental concepts and principles of 2D and 3D graphics Demonstrates the use of MATLAB® programming for solving problems on graphics Provides MATLAB® codes as answers to specific numerical problems Provides codes in a simple copy and execute format for the novice learner Focuses on learning through visual representation with extensive use of graphs and plots Helps the reader gain in-depth knowledge about the subject matter through practical examples Contains review questions and practice problems with answers for self-evaluation

Fitting Models to Biological Data Using Linear and Nonlinear Regression
Fitting Models to Biological Data Using Linear and Nonlinear Regression

Author: Harvey Motulsky

Publisher: Oxford University Press

Published: 2004-05-27

Total Pages: 352

ISBN-13: 9780198038344

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Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.

An Introduction to Numerical Methods
An Introduction to Numerical Methods

Author: Abdelwahab Kharab

Publisher: CRC Press

Published: 2018-09-05

Total Pages: 447

ISBN-13: 1351605917

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Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos. Features Covers the most common numerical methods encountered in science and engineering Illustrates the methods using MATLAB Presents numerous examples and exercises, with selected answers at the back of the book

Meshfree Approximation Methods with MATLAB
Meshfree Approximation Methods with MATLAB

Author: Gregory E. Fasshauer

Publisher: World Scientific

Published: 2007

Total Pages: 520

ISBN-13: 981270633X

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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.

Scientific Computing with MATLAB and Octave
Scientific Computing with MATLAB and Octave

Author: Alfio Quarteroni

Publisher: Springer Science & Business Media

Published: 2007-06-21

Total Pages: 334

ISBN-13: 3540326138

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This introduction to Scientific Computing illustrates several numerical methods for the computer solution of certain classes of mathematical problems. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. To make the presentation concrete, the programming environment Matlab is adopted as a faithful companion.