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Author: Helmuth Späth
Publisher: CRC Press
Published: 1993-05-31
Total Pages: 313
ISBN-13: 1439864721
DOWNLOAD EBOOKThese volumes present a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided deisgn (CAD) and computer graphics.
Author: Helmuth Späth
Publisher: A K Peters, Ltd.
Published: 1995
Total Pages: 304
ISBN-13: 9781568810171
DOWNLOAD EBOOKThese volumes present a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided deisgn (CAD) and computer graphics.
Author: Gary D. Knott
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 247
ISBN-13: 1461213207
DOWNLOAD EBOOKA spline is a thin flexible strip composed of a material such as bamboo or steel that can be bent to pass through or near given points in the plane, or in 3-space in a smooth manner. Mechanical engineers and drafting specialists find such (physical) splines useful in designing and in drawing plans for a wide variety of objects, such as for hulls of boats or for the bodies of automobiles where smooth curves need to be specified. These days, physi cal splines are largely replaced by computer software that can compute the desired curves (with appropriate encouragment). The same mathematical ideas used for computing "spline" curves can be extended to allow us to compute "spline" surfaces. The application ofthese mathematical ideas is rather widespread. Spline functions are central to computer graphics disciplines. Spline curves and surfaces are used in computer graphics renderings for both real and imagi nary objects. Computer-aided-design (CAD) systems depend on algorithms for computing spline functions, and splines are used in numerical analysis and statistics. Thus the construction of movies and computer games trav els side-by-side with the art of automobile design, sail construction, and architecture; and statisticians and applied mathematicians use splines as everyday computational tools, often divorced from graphic images.
Author: Amit Kumar
Publisher: Springer
Published: 2018-08-31
Total Pages: 775
ISBN-13: 981130212X
DOWNLOAD EBOOKThis book comprises selected articles from the International Communications Conference (ICC) 2018 held in Hyderabad, India in 2018. It offers in-depth information on the latest developments in voice-, data-, image- and multimedia processing research and applications, and includes contributions from both academia and industry.
Author: J. H. Ahlberg
Publisher: Elsevier
Published: 2016-06-03
Total Pages: 297
ISBN-13: 1483222950
DOWNLOAD EBOOKThe Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.
Author: Helmuth Späth
Publisher: CRC Press
Published: 1995-05-02
Total Pages: 415
ISBN-13: 1439864713
DOWNLOAD EBOOKTogether with its compagnion volume this book presents a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided design (CAD) and computer graphics.
Author: Shengyuan Liu
Publisher: Frontiers Media SA
Published: 2024-09-19
Total Pages: 321
ISBN-13: 283255444X
DOWNLOAD EBOOKThe energy landscape is shifting toward renewable energy sources to mitigate climate change and reduce dependence on fossil fuels. The integration of renewable energy sources into the power grid presents various challenges, including uncertainty and variability of renewable energy sources, grid stability, and management of energy storage. Power system operation and optimization play a crucial role in managing the energy supply-demand balance, reducing operational costs, and improving the reliability of the power system. This call for papers aims to bring together the latest research and practical applications related to power system operation and optimization in the context of high penetration of renewable energy sources. We welcome contributions from researchers and practitioners from a broad range of disciplines to shed light on the challenges and opportunities associated with renewable energy integration in power systems. The objective of this Research Topic is to explore the latest advances in power system operation and optimization with a focus on the high penetration of renewable energy sources. We invite potential authors to submit articles for publication on the Research Topic of Frontiers in Energy Research on Power System Operation and Optimization Considering the High Penetration of Renewable Energy.
Author: Charles K. Chui
Publisher: SIAM
Published: 1988-01-01
Total Pages: 192
ISBN-13: 0898712262
DOWNLOAD EBOOKSubject of multivariate splines presented from an elementary point of view; includes many open problems.
Author: Gheorghe Micula
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 622
ISBN-13: 9401153388
DOWNLOAD EBOOKThe purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
Author: Gregory E. Fasshauer
Publisher: World Scientific
Published: 2007
Total Pages: 520
ISBN-13: 981270633X
DOWNLOAD EBOOKMeshfree 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.
