Analysis and Design of Univariate Subdivision Schemes (Paperback, 2010 ed.)

'Subdivision' is a way of representing smooth shapes in a computer. A curve or surface (both of which contain an in?nite number of points) is described in terms of two objects. One object is a sequence of vertices, which we visualise as a polygon, for curves, or a network of vertices, which we visualise by drawing the edges or faces of the network, for surfaces. The other object is a set of rules for making denser sequences or networks. When applied repeatedly, the denser and denser sequences are claimed to converge to a limit, which is the curve or surface that we want to represent. This book focusses on curves, because the theory for that is complete enough that a book claiming that our understanding is complete is exactly what is needed to stimulate research proving that claim wrong. Also because there are already a number of good books on subdivision surfaces. The way in which the limit curve relates to the polygon, and a lot of interesting properties of the limit curve, depend on the set of rules, and this book is about how one can deduce those properties from the set of rules, and how one can then use that understanding to construct rules which give the properties that one wants.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Geometry and Computing, 6
Release date:	October 2012
First published:	2010
Authors:	Malcolm Sabin
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	218
Edition:	2010 ed.
ISBN-13:	978-3-642-26449-8
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Computing & IT > Computer programming > General Books > Computing & IT > Applications of computing > Computer modelling & simulation Books > Science & Mathematics > Mathematics > Geometry > General Books > Professional & Technical > Technology: general issues > Technical design > Computer aided design (CAD) Books > Computing & IT > Applications of computing > Image processing > General
LSN:	3-642-26449-2
Barcode:	9783642264498

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