Pierre-Jean Laurent; Alain Le Mehaute's Curves and Surfaces PDF

By Pierre-Jean Laurent; Alain Le Mehaute

ISBN-10: 0124386601

ISBN-13: 9780124386600

There's a good deal of present curiosity in mathematical tools for representing and manipulating advanced curves and surfaces in a electronic computing device atmosphere. This edited paintings is a suite of either brief survey papers and lengthy learn papers, addressing a few issues very important to improvement within the box. between those are three-D reconstruction, skinny plate splines, geometric continuity, snapshot compression, and radial services. The survey papers concentrate on a number of fairly lively subareas of approximation idea, together with tomography, wavelets, limited approximation, multivariate splines, approximation of pictures, and floor compression

Show description

Read Online or Download Curves and Surfaces PDF

Similar nonfiction_12 books

Read e-book online The Mysterious Island: Dropped From the Clouds (1875) PDF

The Mysterious Island tells the intriguing tale of 5 americans stranded on an uncharted island within the South Pacific. through the American Civil struggle, Richmond, Virginia was once the capital of the accomplice States of the US. 5 northern prisoners of battle choose to break out Richmond in a slightly strange approach - through hijacking a balloon.

Extra info for Curves and Surfaces

Example text

Specifically, using the notation φ for both the mentioned univariate function and for the n-variate, rotationally invariant function associated with it, we study interpolants to an n-variate, real-valued function / from the space Vh = clos span {φ(> - jh) : j G ZZ n }, the closure being relative to the topology of uniform convergence over compact domains. , Buhmann (1990), Madych and Nelson (1990), Powell (1991), Wu and Schaback (1990)), because of its well-known suitability for practical applications, see, for instance, Hardy (1990).

Triangular Facet Surfaces 29 If the quadrilateral Qe is of the form a) or b), then we call e swapable. If it has either the form c) or d), we call e non-swapable. The reason for this terminology is clear: in Case a) we can swap the diagonal of the quadrilateral to obtain a new one where the edge e now runs from α,·+ι to fy-i. In Case b), the new edge would run from α,·_ι to &j+i. Definition 2. We say that a triangulation T is locally optimal provided that ct(T) cannot be reduced by swapping any edge i.

L. ), pp. 51-58. Copyright ©1991 by Academic Press, Boston. ISBN 0-12-438660-1 All rights of reproduction in any form reserved. 2) 51 52 M. D. Buhmann and N. Dyn where c denotes here and throughout a generic positive constant and where we require that / G C n + 1 (]R n ) and has bounded partial derivatives of total orders n and n-f-1. 2) can sometimes be removed (Buhmann, 1990). 2) cannot be improved, in the sense that the right-hand side cannot be replaced by o(hn+1) even if we restrict our function class to functions / which are infinitely differentiate and have all derivatives bounded.

Download PDF sample

Curves and Surfaces by Pierre-Jean Laurent; Alain Le Mehaute


by Anthony
4.3

Rated 4.99 of 5 – based on 35 votes