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Author : Peter Lancaster,Kȩstutis Šalkauskas
Publisher : Unknown
Page : 296 pages
File Size : 53,6 Mb
Release : 1986
Category : Curve fitting
ISBN : UCSD:31822032992059
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.
Author : Paul Dierckx
Publisher : Oxford University Press
Page : 308 pages
File Size : 40,7 Mb
Release : 1995
Category : Computers
ISBN : 019853440X
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.
Author : J. Braselton
Publisher : CreateSpace
Page : 70 pages
File Size : 40,9 Mb
Release : 2014-09-11
Category : Mathematics
ISBN : 1502336073
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
Author : J. Braselton
Publisher : Createspace Independent Publishing Platform
Page : 160 pages
File Size : 45,5 Mb
Release : 2016-06-22
Category : Electronic
ISBN : 1534835385
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
Author : J. Braselton
Publisher : CreateSpace
Page : 282 pages
File Size : 42,9 Mb
Release : 2014-09-10
Category : Mathematics
ISBN : 1502332701
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
Author : J. Braselton
Publisher : Createspace Independent Publishing Platform
Page : 266 pages
File Size : 44,7 Mb
Release : 2016-06-22
Category : Electronic
ISBN : 1534839453
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.
Author : Les Piegl,Wayne Tiller
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642592232
Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'URBS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.
Author : Osvaldo Gervasi
Publisher : Springer
Page : 0 pages
File Size : 46,6 Mb
Release : 2007-08-13
Category : Computers
ISBN : 3540744754
This three-volume set constitutes the refereed proceedings of the International Conference on Computational Science and its Applications. These volumes feature outstanding papers that present a wealth of original research results in the field of computational science, from foundational issues in computer science and mathematics to advanced applications in almost all sciences that use computational techniques.
Author : Harvey Motulsky,Arthur Christopoulos
Publisher : Oxford University Press
Page : 352 pages
File Size : 53,5 Mb
Release : 2004-05-27
Category : Mathematics
ISBN : 0198038348
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.
Author : Vanderbilt University Staff,Christophe Rabut,Rabut
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 2000-07-31
Category : Electronic
ISBN : 0826513581
Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas. Curve and Surface Design includes the following topics: B-bases canal surfaces conics curvature discrete fairing free form surfaces G2-splines highlight lines involute curves multisided patches NURBs and NURPs offsets ray tracing ruled surfaces sculptured surfaces segmentation methods shape preservation texture voronoi diagrams
Author : P. G. Guest,Philip George Guest
Publisher : Cambridge University Press
Page : 439 pages
File Size : 42,6 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9781107646957
This 1961 book provides information on the methods of treating series of observations; the field covered embraces portions of both statistics and numerical analysis.
Author : Albert Cohen,Jean-Louis Merrien,Larry L. Schumaker
Publisher : Unknown
Page : 285 pages
File Size : 46,9 Mb
Release : 2007
Category : Computer graphics
ISBN : 0972848282
Author : Albert Cohen,Christophe Rabut,Larry L. Schumaker
Publisher : Unknown
Page : 452 pages
File Size : 40,7 Mb
Release : 2000
Category : Computers
ISBN : UOM:39015050131666
Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas. Curve and Surface Design includes the following topics: B-bases canal surfaces conics curvature discrete fairing free form surfaces G2-splines highlight lines involute curves multisided patches NURBs and NURPs offsets ray tracing ruled surfaces sculptured surfaces segmentation methods shape preservation texture voronoi diagrams
Author : Pierre-Jean Laurent,Alain Le Méhauté,Larry Schumaker
Publisher : CRC Press
Page : 544 pages
File Size : 46,8 Mb
Release : 1994-07-15
Category : Computers
ISBN : 9781439863602
This volume documents the results and presentations relating to the use of wavelet theory and other methods in surface fitting and image reconstruction of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application.
Author : Sung Joon Ahn
Publisher : Springer Science & Business Media
Page : 138 pages
File Size : 50,6 Mb
Release : 2004-12-07
Category : Computers
ISBN : 9783540239666
Due to the continuing progress of sensor technology, the availability of 3-D cameras is already foreseeable. These cameras are capable of generating a large set of measurement points within a very short time. There are a variety of 3-D camera applications in the fields of robotics, rapid product development and digital factories. In order to not only visualize the point cloud but also to recognize 3-D object models from the point cloud and then further process them in CAD systems, efficient and stable algorithms for 3-D information processing are required. For the automatic segmentation and recognition of such geometric primitives as plane, sphere, cylinder, cone and torus in a 3-D point cloud, efficient software has recently been developed at the Fraunhofer IPA by Sung Joon Ahn. This book describes in detail the complete set of ‘best-?t’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.
