Shape Preserving Spline Approximation In The 1 Norm PDF Download
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Author | : Maurice G. Cox |
Publisher | : |
Total Pages | : 14 |
Release | : 1985 |
Genre | : Approximation theory |
ISBN | : |
Download Shape-preserving Spline Approximation in the L1-norm Book in PDF, ePub and Kindle
Author | : Boris I. Kvasov |
Publisher | : World Scientific |
Total Pages | : 360 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9789810240103 |
Download Methods of Shape-preserving Spline Approximation Book in PDF, ePub and Kindle
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 | : M. G. Cox |
Publisher | : |
Total Pages | : |
Release | : 1985 |
Genre | : Mathematical statistics |
ISBN | : |
Download Shape-preserving Spline Approximation in the Lambdasub(1)-norm Book in PDF, ePub and Kindle
Author | : National Physical Laboratory (Great Britain). Division of Information Technology & Computing |
Publisher | : |
Total Pages | : 14 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Shape-preserving Spline Approximation in the I[subscript]-norm Book in PDF, ePub and Kindle
Author | : National Physical Laboratory (Great Britain). Division of Information Technology and Computing |
Publisher | : |
Total Pages | : 14 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Shape - Preserving Spline Approximation in the Γ1 - Norm Book in PDF, ePub and Kindle
Author | : Sorin G. Gal |
Publisher | : Springer Science & Business Media |
Total Pages | : 359 |
Release | : 2010-06-09 |
Genre | : Mathematics |
ISBN | : 0817647031 |
Download Shape-Preserving Approximation by Real and Complex Polynomials Book in PDF, ePub and Kindle
First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography
Author | : Zvi Ziegler |
Publisher | : |
Total Pages | : 384 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : |
Download Approximation Theory and Applications Book in PDF, ePub and Kindle
Construction of elements of the relative chebyshev center. The numerical claculation of spline approximations on a binfinite. Global analysis in nonlinear approximation and its application to exponential approximation. Global analysis in nonlinear approximation and its application to exponential approximation. Simultaneous approximation and restricted chebyshev centers in function spaces. Quelques proprietes D'Une family D'operateurs positfs sur des espaces de functions relles definies presque partout sur ... Bell-Shaped basis functions for surface fitting. The n-Widhts of sets of analytic functions. Admissibility of quadrature formulas with random nodes. Convergence for operators of hyperbolic type. Explicit ... - extensions of functions of two variebles in a strip between two curves, or in a corner in IR ... Taylor interpolation of order n at the vertices of a triangle. Applications for hermite interpolation and finite elements. Jacobi projections. Oscillating monosplines of least uniform norm. Some applications and drawbacks of padé approximants. From dirac distributions to multivariate representation formulas. A new iterative method for the solution of systems nonlinear equations. Polynomials and rational functions. Quadrature formulae based on shape preserving interpolation. Optimal recovery among the polynomials. On cardinal spline interpolants. Approximation by lacunary polynomials: A converse theorem. An interpolatory rational approximation. Design problems for optimal surface interpolation. Open problems.
Author | : C. K. Chui |
Publisher | : Elsevier |
Total Pages | : 346 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483271005 |
Download Topics in Multivariate Approximation Book in PDF, ePub and Kindle
Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.
Author | : Frans Kuijt |
Publisher | : |
Total Pages | : 21 |
Release | : 1998 |
Genre | : |
ISBN | : |
Download A Linear Approach to Shape Preserving Spline Approximation Book in PDF, ePub and Kindle
Author | : Larry Dean Irvine |
Publisher | : |
Total Pages | : 114 |
Release | : 1985 |
Genre | : Interpolation |
ISBN | : |
Download Minimal Norm Constrained Interpolation Book in PDF, ePub and Kindle
We display examples of such interpolants as well as convergence results obtained by using Newton's method. We list a FORTRAN program to compute these shape-preserving interpolants. Next we consider the problem of computing the interpolant of minimal norm from a convex cone in a normed dual space. This is an extension of de Boor's work on minimal norm unconstrained interpolation.