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Spline Abc
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Download or read book Spline ABC written by Kang Zhao and published by Kang Zhao. This book was released on 2021-02-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is spline and why use splines? What is B-spline and why use B-splines? What is B-spline curve and what is B-spline curve of periodic knots? How to construct B-spline curves to fit points? If you need answers for these questions then this book is right for you. It takes a Show and Tell approach that guides readers to understand the mathematical basics and master the computer programming skills of splines. The B-splines are introduced by means of Marsden Identity so to avoid the recursive definitions. Many Python code snippets are presented along with their numerical and graphical outputs to show how the spline knowledge learned in this book is used in solving numerical problems.
Book Synopsis Advanced Financial Risk Management by : Donald R. Van Deventer
Download or read book Advanced Financial Risk Management written by Donald R. Van Deventer and published by John Wiley & Sons. This book was released on 2013-02-06 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical tools and advice for managing financial risk, updated for a post-crisis world Advanced Financial Risk Management bridges the gap between the idealized assumptions used for risk valuation and the realities that must be reflected in management actions. It explains, in detailed yet easy-to-understand terms, the analytics of these issues from A to Z, and lays out a comprehensive strategy for risk management measurement, objectives, and hedging techniques that apply to all types of institutions. Written by experienced risk managers, the book covers everything from the basics of present value, forward rates, and interest rate compounding to the wide variety of alternative term structure models. Revised and updated with lessons from the 2007-2010 financial crisis, Advanced Financial Risk Management outlines a framework for fully integrated risk management. Credit risk, market risk, asset and liability management, and performance measurement have historically been thought of as separate disciplines, but recent developments in financial theory and computer science now allow these views of risk to be analyzed on a more integrated basis. The book presents a performance measurement approach that goes far beyond traditional capital allocation techniques to measure risk-adjusted shareholder value creation, and supplements this strategic view of integrated risk with step-by-step tools and techniques for constructing a risk management system that achieves these objectives. Practical tools for managing risk in the financial world Updated to include the most recent events that have influenced risk management Topics covered include the basics of present value, forward rates, and interest rate compounding; American vs. European fixed income options; default probability models; prepayment models; mortality models; and alternatives to the Vasicek model Comprehensive and in-depth, Advanced Financial Risk Management is an essential resource for anyone working in the financial field.
Download or read book The NURBS Book written by Les Piegl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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'U'R-BS 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.
Book Synopsis Geometric Challenges in Isogeometric Analysis by : Carla Manni
Download or read book Geometric Challenges in Isogeometric Analysis written by Carla Manni and published by Springer Nature. This book was released on 2022-08-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected contributions presented at the INdAM Workshop "Geometric Challenges in Isogeometric Analysis", held in Rome, Italy on January 27-31, 2020. It gives an overview of the forefront research on splines and their efficient use in isogeometric methods for the discretization of differential problems over complex and trimmed geometries. A variety of research topics in this context are covered, including (i) high-quality spline surfaces on complex and trimmed geometries, (ii) construction and analysis of smooth spline spaces on unstructured meshes, (iii) numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software. Given its scope, the book will be of interest to both researchers and graduate students working in the areas of approximation theory, geometric design and numerical simulation. Chapter 10 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Book Synopsis Proceedings of the 1980 Army Science Conference: Principal authors A through D by :
Download or read book Proceedings of the 1980 Army Science Conference: Principal authors A through D written by and published by . This book was released on 1980 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to NURBS by : David F. Rogers
Download or read book An Introduction to NURBS written by David F. Rogers and published by Morgan Kaufmann. This book was released on 2001 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.
Book Synopsis Blossoming Development of Splines by : Stephen Mann
Download or read book Blossoming Development of Splines written by Stephen Mann and published by Springer Nature. This book was released on 2022-05-31 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.
Book Synopsis Transmission Chain by : Defense Logistics Services Center (U.S.)
Download or read book Transmission Chain written by Defense Logistics Services Center (U.S.) and published by . This book was released on 1971 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pumps and Compressor Components by : Defense Logistics Services Center (U.S.)
Download or read book Pumps and Compressor Components written by Defense Logistics Services Center (U.S.) and published by . This book was released on 1970 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Machinery's Handbook for Machine Shop and Drafting-room by :
Download or read book Machinery's Handbook for Machine Shop and Drafting-room written by and published by . This book was released on 1915 with total page 1436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bézier and B-Spline Techniques by : Hartmut Prautzsch
Download or read book Bézier and B-Spline Techniques written by Hartmut Prautzsch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a solid and uniform derivation of the various properties Bezier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design and provides a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.
Book Synopsis The Big Book of Small Household Repairs by : Charlie Wing
Download or read book The Big Book of Small Household Repairs written by Charlie Wing and published by Rodale Books. This book was released on 1996-04 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to repair over 200 household hang-ups without calling a plumber or electrician.
Book Synopsis Visualizing Quaternions by : Andrew J. Hanson
Download or read book Visualizing Quaternions written by Andrew J. Hanson and published by Elsevier. This book was released on 2006-02-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available. The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. Covers both non-mathematical and mathematical approaches to quaternions.
Book Synopsis Handbook of Approximate Bayesian Computation by : Scott A. Sisson
Download or read book Handbook of Approximate Bayesian Computation written by Scott A. Sisson and published by CRC Press. This book was released on 2018-09-03 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the world becomes increasingly complex, so do the statistical models required to analyse the challenging problems ahead. For the very first time in a single volume, the Handbook of Approximate Bayesian Computation (ABC) presents an extensive overview of the theory, practice and application of ABC methods. These simple, but powerful statistical techniques, take Bayesian statistics beyond the need to specify overly simplified models, to the setting where the model is defined only as a process that generates data. This process can be arbitrarily complex, to the point where standard Bayesian techniques based on working with tractable likelihood functions would not be viable. ABC methods finesse the problem of model complexity within the Bayesian framework by exploiting modern computational power, thereby permitting approximate Bayesian analyses of models that would otherwise be impossible to implement. The Handbook of ABC provides illuminating insight into the world of Bayesian modelling for intractable models for both experts and newcomers alike. It is an essential reference book for anyone interested in learning about and implementing ABC techniques to analyse complex models in the modern world.
Book Synopsis Numerical Methods for Nonlinear Engineering Models by : John R. Hauser
Download or read book Numerical Methods for Nonlinear Engineering Models written by John R. Hauser and published by Springer Science & Business Media. This book was released on 2009-03-24 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.
Book Synopsis The Complete Illustrated Guide to Joinery by : Gary Rogowski
Download or read book The Complete Illustrated Guide to Joinery written by Gary Rogowski and published by Taunton Press. This book was released on 2002 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rogowski describes how to make every practical woodworking joint in a series of full-colour step-by-step photographic tutorials.
Book Synopsis Multivariate Splines by : Charles K. Chui
Download or read book Multivariate Splines written by Charles K. Chui and published by SIAM. This book was released on 1988-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of multivariate splines has become a rapidly growing field of mathematical research. The author presents the subject from an elementary point of view that parallels the theory and development of univariate spline analysis. To compensate for the missing proofs and details, an extensive bibliography has been included. There is a presentation of open problems with an emphasis on the theory and applications to computer-aided design, data analysis, and surface fitting. Applied mathematicians and engineers working in the areas of curve fitting, finite element methods, computer-aided geometric design, signal processing, mathematical modelling, computer-aided design, computer-aided manufacturing, and circuits and systems will find this monograph essential to their research.
