Modeling Of Curves And Surfaces With Matlab

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Modeling of Curves and Surfaces with MATLAB®

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 53,6 Mb
Release : 2010-07-03
Category : Mathematics
ISBN : 9780387712789

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Modeling of Curves and Surfaces with MATLAB® by Vladimir Rovenski Pdf

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.

Modeling of Curves and Surfaces with MATLAB®

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 40,9 Mb
Release : 2010-06-10
Category : Mathematics
ISBN : 9780387712772

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Modeling of Curves and Surfaces with MATLAB® by Vladimir Rovenski Pdf

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.

Designing Fair Curves and Surfaces

Author : Nickolas S. Sapidis
Publisher : SIAM
Page : 330 pages
File Size : 53,6 Mb
Release : 1994-01-01
Category : Computers
ISBN : 1611971527

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Designing Fair Curves and Surfaces by Nickolas S. Sapidis Pdf

This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.

Curve and Surface Fitting With Matlab

Author : J. Braselton
Publisher : CreateSpace
Page : 70 pages
File Size : 50,9 Mb
Release : 2014-09-11
Category : Mathematics
ISBN : 1502336073

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Curve and Surface Fitting With Matlab by J. Braselton Pdf

MATLAB Curve Fitting Toolbox provides graphical tools and command-line functions for fitting curves and surfaces to data. The toolbox lets you perform exploratory data analysis, preprocess and post-process data, compare candidate models, and remove outliers. You can conduct regression analysis using the library of linear and nonlinear models provided or specify your own custom equations. The library provides optimized solver parameters and starting conditions to improve the quality of your fits. The toolbox also supports nonparametric modeling techniques, such as splines, interpolation, and smoothing. After creating a fit, you can apply a variety of post-processing methods for plotting, interpolation, and extrapolation; estimating confidence intervals; and calculating integrals and derivatives. The most important topics in this book are: Interactive Curve and Surface Fitting Introducing the Curve Fitting Tool Fitting a Curve Fitting a Surface Model Types for Curves and Surfaces Interactive Fit Comparison Refining Your Fit Creating Multiple Fits Duplicating a Fit Deleting a Fit Displaying Multiple Fits Simultaneously Using the Statistics in the Table of Fits Generating MATLAB Code and Exporting Fits Interactive Code Generation and Programmatic Fitting Curve Fitting to Census Data Interactive Curve Fitting Workflow Loading Data and Creating Fits Determining the Best Fit Analyzing Your Best Fit in the Workspace Saving Your Work Surface Fitting to Franke Data Programmatic Curve and Surface Fitting Curve and Surface Fitting Objects and Methods Curve Fitting Objects Curve Fitting Methods Surface Fitting Objects and Methods

Curve and Surface Fitting with MATLAB

Author : J. Braselton
Publisher : Createspace Independent Publishing Platform
Page : 160 pages
File Size : 48,9 Mb
Release : 2016-06-22
Category : Electronic
ISBN : 1534835385

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Curve and Surface Fitting with MATLAB by J. Braselton Pdf

Curve Fitting Toolbox(tm) provides an app and functions for fitting curves and surfaces to data. The toolbox lets you perform exploratory data analysis, preprocess and post-process data, compare candidate models, and remove outliers. You can conduct regression analysis using the library of linear and nonlinear models provided or specify your own custom equations. The library provides optimized solver parameters and starting conditions to improve the quality of your fits. The toolbox also supports nonparametric modeling techniques, such as splines, interpolation, and smoothing.After creating a fit, you can apply a variety of post-processing methods for plotting, interpolation, and extrapolation; estimating confidence intervals; and calculating integrals and derivatives.Curve Fitting Toolbox(tm) software allows you to work in two different environments:An interactive environment, with the Curve Fitting app and the Spline ToolA programmatic environment that allows you to write object-oriented MATLAB(r) code using curve and surface fitting methods

Curve and Surface Fitting Functions with MATLAB

Author : J. Braselton
Publisher : Createspace Independent Publishing Platform
Page : 266 pages
File Size : 55,5 Mb
Release : 2016-06-22
Category : Electronic
ISBN : 1534839453

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Curve and Surface Fitting Functions with MATLAB by J. Braselton Pdf

This book develops the syntax of functions of Curve Fitting Toolbox(tm). This package provides an app and functions for fitting curves and surfaces to data. The toolbox lets you perform exploratory data analysis, preprocess and post-process data, compare candidate models, and remove outliers. You can conduct regression analysis using the library of linear and nonlinear models provided or specify your own custom equations. The library provides optimized solver parameters and starting conditions to improve the quality of your fits. The toolbox also supports nonparametric modeling techniques, such as splines, interpolation, and smoothing.After creating a fit, you can apply a variety of post-processing methods for plotting, interpolation, and extrapolation; estimating confidence intervals; and calculating integrals and derivatives.

Modeling of Curves and Surfaces in CAD/CAM

Author : Mamoru Hosaka
Publisher : Springer
Page : 0 pages
File Size : 53,6 Mb
Release : 2011-12-23
Category : Computers
ISBN : 3642766005

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Modeling of Curves and Surfaces in CAD/CAM by Mamoru Hosaka Pdf

1 Aims and Features of This Book The contents of t. his book were originally planned t. o be included in a book en titled Geometric lIIodeling and CAD/CAM to be written by M. Hosaka and F. Kimura, but since the draft. of my part of the book was finished much earlier than Kimura's, we decided to publish this part separately at first. In it, geometrically oriented basic methods and tools used for analysis and synthesis of curves and surfaces used in CAD/CAM, various expressions and manipulations of free-form surface patches and their connection, interference as well as their qualit. y eval uation are treated. They are important elements and procedures of geometric models. And construction and utilization of geometric models which include free-form surfaces are explained in the application examples, in which the meth ods and the techniques described in this book were used. In the succeeding book which Kimura is to write, advanced topics such as data structures of geometric models, non-manifold models, geometric inference as well as tolerance problems and product models, process planning and so on are to be included. Conse quently, the title of this book is changed to Modeling of Curves and Surfaces in CAD/CAM. Features of this book are the following. Though there are excellent text books in the same field such as G. Farin's Curves and Surfaces for CAD /CAM[l] and C. M.

Curve and Surface Fitting Functions With Matlab

Author : J. Braselton
Publisher : CreateSpace
Page : 282 pages
File Size : 53,8 Mb
Release : 2014-09-10
Category : Mathematics
ISBN : 1502332701

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Curve and Surface Fitting Functions With Matlab by J. Braselton Pdf

Curve Fitting Toolbox provides graphical tools and command-line functions for fitting curves and surfaces to data. The toolbox lets you perform exploratory data analysis, preprocess and post-process data, compare candidate models, and remove outliers. You can conduct regression analysis using the library of linear and nonlinear models provided or specify your own custom equations. The library provides optimized solver parameters and starting conditions to improve the quality of your fits. The toolbox also supports nonparametric modeling techniques, such as splines, interpolation, and smoothing. After creating a fit, you can apply a variety of post-processing methods for plotting, interpolation, and extrapolation; estimating confidence intervals; and calculating integrals and derivatives. This book explains through examples all Curve Fitting Toolbox functions

Computational Geometry

Author : Su Bu-qing,Liu Ding-yuan
Publisher : Elsevier
Page : 306 pages
File Size : 53,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483272283

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Computational Geometry by Su Bu-qing,Liu Ding-yuan Pdf

Computational Geometry: Curve and Surface Modeling provides information pertinent to the fundamental aspects of computational geometry. This book discusses the geometric properties of parametric polynomial curves by using the theory of affine invariants for algebraic curves. Organized into eight chapters, this book begins with an overview of the objects studies in computational geometry, namely surfaces and curves. This text then explores the developments in the theory and application of spline functions, which began with cubic spline functions. Other chapters consider the mechanical background of the cubic spline functions, which is the wooden spline with small deflection. This book discusses as well that in mathematical lofting the information of a geometric shape is given by a set of data points, while in geometric design other ways of representations are available. The final chapter deals with the concepts in the theory of algebraic curves. This book is a valuable resource for mathematicians.

Fundamentals of Graphics Using MATLAB

Author : Ranjan Parekh
Publisher : CRC Press
Page : 308 pages
File Size : 48,9 Mb
Release : 2019-12-20
Category : Computers
ISBN : 9780429589799

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Fundamentals of Graphics Using MATLAB by Ranjan Parekh Pdf

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

Geometry of Curves and Surfaces with MAPLE

Author : Vladimir Rovenski
Publisher : Birkhäuser
Page : 0 pages
File Size : 46,8 Mb
Release : 2012-01-04
Category : Mathematics
ISBN : 1461274257

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Geometry of Curves and Surfaces with MAPLE by Vladimir Rovenski Pdf

This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures---reproducible using Maple programs in the book---the work is devoted to three main areas: curves, surfaces, and polyhedra. Pedagogical benefits can be found in the large number of Maple programs, some of which are analogous to C++ programs, including those for splines and fractals. To avoid tedious typing, readers will be able to download many of the programs from the Birkhauser web site. Aimed at a broad audience of students, instructors of mathematics, computer scientists, and engineers who have knowledge of analytical geometry, i.e., method of coordinates, this text will be an excellent classroom resource or self-study reference. With over 100 stimulating exercises, problems and solutions, {\it Geometry of Curves and Surfaces with Maple} will integrate traditional differential and non- Euclidean geometries with more current computer algebra systems in a practical and user-friendly format.

Power Transmissions

Author : Datong Qin
Publisher : CRC Press
Page : 1966 pages
File Size : 55,6 Mb
Release : 2016-11-10
Category : Technology & Engineering
ISBN : 9781315386805

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Power Transmissions by Datong Qin Pdf

This book presents papers from the International Conference on Power Transmissions 2016, held in Chongqing, China, 27th-30th October 2016. The main objective of this conference is to provide a forum for the most recent advances, addressing the challenges in modern mechanical transmissions. The conference proceedings address all aspects of gear and power transmission technology and a range of applications. The presented papers are catalogued into three main tracks, including design, simulation and testing, materials and manufacturing, and industrial applications. The design, simulation and testing track covers topics such as new methods and designs for all types of transmissions, modelling and simulation of power transmissions, strength, fatigue, dynamics and reliability of power transmissions, lubrication and sealing technologies and theories, and fault diagnosis of power transmissions. In the materials and manufacturing track, topics include new materials and heat treatment of power transmissions, new manufacturing technologies of power transmissions, improved tools to predict future demands on production systems, new technologies for ecologically sustainable productions and those which preserve natural resources, and measuring technologies of power transmissions. The proceedings also cover the novel industrial applications of power transmissions in marine, aerospace and railway contexts, wind turbines, the automotive industry, construction machinery, and robots.

Geometric Modeling with Splines

Author : Elaine Cohen,Richard F. Riesenfeld,Gershon Elber
Publisher : CRC Press
Page : 638 pages
File Size : 41,8 Mb
Release : 2001-07-18
Category : Computers
ISBN : 9781439864203

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Geometric Modeling with Splines by Elaine Cohen,Richard F. Riesenfeld,Gershon Elber Pdf

Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor

Topics in Surface Modeling

Author : Hans Hagen
Publisher : SIAM
Page : 216 pages
File Size : 43,9 Mb
Release : 1992-01-01
Category : Mathematics
ISBN : 9780898712827

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Topics in Surface Modeling by Hans Hagen Pdf

Contains recent ideas and results in three areas of growing importance in curve and surface design: algebraic methods, variational surface design, and some special applications. Leading researchers from throughout the world have contributed their latest work and provided several promising solutions to open issues in surface modeling.

Curve Fitting with MATLAB. Linear and Non Linear Regression. Interpolation

Author : Braselton J.
Publisher : Createspace Independent Publishing Platform
Page : 200 pages
File Size : 46,7 Mb
Release : 2016-06-21
Category : Electronic
ISBN : 1534802703

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Curve Fitting with MATLAB. Linear and Non Linear Regression. Interpolation by Braselton J. Pdf

Curve Fitting Toolbox(tm) provides an app and functions for fitting curves and surfaces to data. The toolbox lets you perform exploratory data analysis, preprocess and post-process data, compare candidate models, and remove outliers. You can conduct regression analysis using the library of linear and nonlinear models provided or specify your own custom equations. The library provides optimized solver parameters and starting conditions to improve the quality of your fits. The toolbox also supports nonparametric modeling techniques, such as splines, interpolation, and smoothing.