Convergence of Discrete Cubic,Quartic and Quintic Splines PDF Download
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Author: Yadvendra Prasad Dubey
Publisher:
ISBN: 9783659260834
Category :
Languages : en
Pages : 0
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Book Description
Author: Yadvendra Prasad Dubey
Publisher:
ISBN: 9783659260834
Category :
Languages : en
Pages : 0
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Book Description
Author: Tom Johan Wiborg Lyche
Publisher:
ISBN: 9788255302025
Category : Spline theory
Languages : en
Pages : 116
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Book Description
Author: Boris I. Kvasov
Publisher: World Scientific
ISBN: 9789810240103
Category : Mathematics
Languages : en
Pages : 360
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Book Description
This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.
Author: Yadvendra Prasad Dubey
Publisher:
ISBN: 9783659279690
Category :
Languages : en
Pages : 0
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 204
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Book Description
Author: Larry L. Schumaker
Publisher:
ISBN:
Category : Spline theory
Languages : en
Pages : 36
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Book Description
Author: Amir Z. Averbuch
Publisher: Springer
ISBN: 3319921231
Category : Technology & Engineering
Languages : en
Pages : 302
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Book Description
This book provides a practical guide, complete with accompanying Matlab software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and image processing applications. In self-contained form, it briefly outlines a broad range of polynomial and discrete splines with equidistant nodes and their signal-processing-relevant properties. In particular, interpolating, smoothing, and shift-orthogonal splines are presented.
Author: J. H. Ahlberg
Publisher: Elsevier
ISBN: 1483222950
Category : Mathematics
Languages : en
Pages : 297
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Book Description
The 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: B.N. Sahney
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Proceedings of the NATO Advanced Study Institute, Calgary, Canada, August 26-September 2, 1978
Author: P. M. Prenter
Publisher: Courier Corporation
ISBN: 0486469026
Category : Mathematics
Languages : en
Pages : 338
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Book Description
One of the clearest available introductions to variational methods, this text requires only a minimal background in linear algebra and analysis. It explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. Many helpful definitions, examples, and exercises appear throughout the book. 1975 edition.
