ISBN: 9789401723787

As is known, the book named "Multivariate spline functions and their applications" has been published by the Science Press in 1994. This book is an English edition based on the original b… Meer...

As is known, the book named "Multivariate spline functions and their applications" has been published by the Science Press in 1994. This book is an English edition based on the original book mentioned 1 above with many changes, including that of the structure of a cubic - interpolation in n-dimensional spline spaces, and more detail on triangu­ lations have been added in this book. Special cases of multivariate spline functions (such as step functions, polygonal functions, and piecewise polynomials) have been examined math­ ematically for a long time. I. J. Schoenberg (Contribution to the problem of application of equidistant data by analytic functions, Quart. Appl. Math., 4(1946), 45 - 99; 112 - 141) and W. Quade & L. Collatz (Zur Interpo­ lations theories der reellen periodischen function, Press. Akad. Wiss. (PhysMath. KL), 30(1938), 383- 429) systematically established the the­ ory of the spline functions. W. Quade & L. Collatz mainly discussed the periodic functions, while I. J. Schoenberg's work was systematic and com­ plete. I. J. Schoenberg outlined three viewpoints for studing univariate splines: Fourier transformations, truncated polynomials and Taylor ex­ pansions. Based on the first two viewpoints, I. J. Schoenberg deduced the B-spline function and its basic properties, especially the basis func­ tions. Based on the latter viewpoint, he represented the spline functions in terms of truncated polynomials. These viewpoints and methods had significantly effected on the development of the spline functions. MATHEMATICS,Mathematical Analysis, eBooks.com<

ISBN: 9789401723787

Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Numeric Computing; Image Processing and Computer Vision; Engineering Design Approximation, CA… Meer...

Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Numeric Computing; Image Processing and Computer Vision; Engineering Design Approximation, CAD, CAM, Finite, algebra, computational geometry, computer, computer-aided manufacturing (CAM), finite element method, function, geometry, image processing, numerical analysis Books eBook, Springer Science+Business Media<

ISBN: 9789401723787

Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Numeric Computing; Image Processing and Computer Vision; Engineering Design Approximation, CA… Meer...

Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Numeric Computing; Image Processing and Computer Vision; Engineering Design Approximation, CAD, CAM, Finite, algebra, computational geometry, computer, computer-aided manufacturing (CAM), finite element method, function, geometry, image processing, numerical analysis Books eBook, Springer Nature<

ISBN: 9789401723787

; PDF; Scientific, Technical and Medical > Mathematical foundations, Springer Netherlands

2013, ISBN: 9789401723787

eBooks, eBook Download (PDF), [PU: Springer Netherlands], Springer Netherlands, 2013