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Geometry and Interpolation of Curves and Surfaces

Geometry and Interpolation of Curves and Surfaces

Hardback (10 Jan 1998)

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Publisher's Synopsis

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. They then introduce projective co-ordinates as tools for dealing with higher order curves and singular points. They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. In the final chapter they apply the basic theory to the construction of finite element basis functions and surface interpolants over non-regular shapes.

About the Publisher

Cambridge University Press

Cambridge University Press dates from 1534 and is part of the University of Cambridge. We further the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

Book information

ISBN: 9780521321532
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 516.352
DEWEY edition: 21
Language: English
Number of pages: 414
Weight: 750g
Height: 238mm
Width: 160mm
Spine width: 28mm