Fitting Splines To A Parametric Function

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Fitting Splines To A Parametric Function
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Author : Alvin Penner
language : en
Publisher: Springer
Release Date : 2019-02-23
Fitting Splines To A Parametric Function written by Alvin Penner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-23 with Computers categories.
This Brief investigates the intersections that occur between three different areas of study that normally would not touch each other: ODF, spline theory, and topology. The Least Squares Orthogonal Distance Fitting (ODF) method has become the standard technique used to develop mathematical models of the physical shapes of objects, due to the fact that it produces a fitted result that is invariant with respect to the size and orientation of the object. It is normally used to produce a single optimum fit to a specific object; this work focuses instead on the issue of whether the fit responds continuously as the shape of the object changes. The theory of splines develops user-friendly ways of manipulating six different splines to fit the shape of a simple family of epiTrochoid curves: two types of Bézier curve, two uniform B-splines, and two Beta-splines. This work will focus on issues that arise when mathematically optimizing the fit. There are typically multiple solutions to the ODF method, and the number of solutions can often change as the object changes shape, so two topological questions immediately arise: are there rules that can be applied concerning the relative number of local minima and saddle points, and are there different mechanisms available by which solutions can either merge and disappear, or cross over each other and interchange roles. The author proposes some simple rules which can be used to determine if a given set of solutions is internally consistent in the sense that it has the appropriate number of each type of solution.
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.
Describes the algorithms and mathematical fundamentals of a widely-used FORTRAN package for curve and surface fitting with splines.
Numerical Algorithms With C
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Author : Giesela Engeln-Müllges
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Numerical Algorithms With C written by Giesela Engeln-Müllges 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 2013-11-21 with Mathematics categories.
More scientists now use C than any other programming language. This book contains practical, computer-ready algorithms for many standard methods of numerical mathematics. It describes the principles of the various methods and provides support in choosing the appropriate method for a given task. Topics given special emphasis include converging methods for solving nonlinear equations, methods for solving systems of linear equations for many special matrix structures, and the Shepard method for multidimensional interpolation. The CD contains C-programs for almost all the algorithms given in the book and a compiler, together with software for graphical printing.
Analysing And Interpreting The Yield Curve
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Author : Moorad Choudhry
language : en
Publisher: John Wiley & Sons
Release Date : 2019-04-15
Analysing And Interpreting The Yield Curve written by Moorad Choudhry and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-15 with Business & Economics categories.
Understand and interpret the global debt capital markets Now in a completely updated and expanded edition, this is a technical guide to the yield curve, a key indicator of the global capital markets and the understanding and accurate prediction of which is critical to all market participants. Being able to accurately and timely predict the shape and direction of the curve permits practitioners to consistently outperform the market. Analysing and Interpreting the Yield Curve, 2nd Edition describes what the yield curve is, explains what it tells participants, outlines the significance of certain shapes that the curve assumes and, most importantly, demonstrates what factors drive it and how it is modelled and used. Covers the FTP curve, the multi-currency curve, CSA, OIS-Libor and 3-curve models Gets you up to speed on the secured curve Describes application of theoretical versus market curve relative value trading Explains the concept of the risk-free rate Accessible demonstration of curve interpolation best-practice using cubic spline, Nelson-Siegel and Svensson 94 models This advanced text is essential reading for traders, asset managers, bankers and financial analysts, as well as graduate students in banking and finance.
Pattern Recognition And Neural Networks
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Author : Brian D. Ripley
language : en
Publisher: Cambridge University Press
Release Date : 2007
Pattern Recognition And Neural Networks written by Brian D. Ripley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computers categories.
This 1996 book explains the statistical framework for pattern recognition and machine learning, now in paperback.
Handbook Of Chemical And Biological Sensors
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Author : R.F Taylor
language : en
Publisher: CRC Press
Release Date : 1996-01-01
Handbook Of Chemical And Biological Sensors written by R.F Taylor and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Science categories.
The Handbook of Chemical and Biological Sensors focuses on the development of sensors to recognize substances rather than physical quantities. This fully inclusive book examines devices that use a biological sensing element to detect and measure chemical and biological species as well as those that use a synthetic element to achieve a similar result. A first port of call for anyone with a specific interest, question, or problem relating to this area, this comprehensive source of reference serves as a guide for practicing scientists and as a text for many graduate courses. It presents relevant physics to chemists, chemistry to materials scientists, materials science to electronic engineers, and fabrication technology to all of the above. In addition, the handbook is useful both to newcomers and to experienced researchers who wish to broaden their knowledge of the constituent disciplines of this wide-ranging field.
Environmental Health Perspectives
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Author :
language : en
Publisher:
Release Date : 1993
Environmental Health Perspectives written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Electronic journals categories.
Biostatistics In The Study Of Toxicology
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Author :
language : en
Publisher:
Release Date : 1994
Biostatistics In The Study Of Toxicology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Biometry categories.
Elements Of Numerical Analysis With Mathematica
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Author : John Loustau
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-08-23
Elements Of Numerical Analysis With Mathematica written by John Loustau and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-23 with Mathematics categories.
Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1985
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Aeronautics categories.