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| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 65 |
| Release | : 1971 |
| Genre | : |
| ISBN | : |
The paper is devoted to a study of the B-splines for the problem of cardinal Hermite interpolation by spline functions. (Author).
| Author | : I. J. Schoenberg |
| Publisher | : SIAM |
| Total Pages | : 127 |
| Release | : 1973-01-01 |
| Genre | : Mathematics |
| ISBN | : 089871009X |
In this book the author explains cardinal spline functions, the basic properties of B-splines and exponential Euler splines.
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 60 |
| Release | : 1971 |
| Genre | : Hermite polynomials |
| ISBN | : |
| Author | : I. J. Schoenberg |
| Publisher | : |
| Total Pages | : 60 |
| Release | : 1971 |
| Genre | : Hermite polynomials |
| ISBN | : |
| Author | : Boris I. Kvasov |
| Publisher | : World Scientific |
| Total Pages | : 360 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9789810240103 |
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 | : I. J. Schoenberg |
| Publisher | : SIAM |
| Total Pages | : 131 |
| Release | : 1973-01-01 |
| Genre | : Mathematics |
| ISBN | : 9781611970555 |
As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms.
| Author | : Peter R. Lipow |
| Publisher | : |
| Total Pages | : 118 |
| Release | : 1970 |
| Genre | : Spline theory |
| ISBN | : |
| Author | : Gary D. Knott |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 316 |
| Release | : 1999 |
| Genre | : Computers |
| ISBN | : 9780817641009 |
The study of spline functions is an outgrowth of basic mathematical concepts arising from calculus, analysis and numerical analysis. Spline modelling affects a number of fields: statistics; computer graphics; CAD programming, and other areas of applied mathematics.
| Author | : Gheorghe Micula |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 622 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401153388 |
The 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.
