Analysis and Design of Univariate Subdivision Schemes - Couverture souple

Sabin, Malcolm

9783642264498: Analysis and Design of Univariate Subdivision Schemes

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ISBN 10 : 3642264492 ISBN 13 : 9783642264498

Editeur : Springer, 2012

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‘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.

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� propos de l?auteur

The author has spent his professional life on the numerical representation of shape.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer
Date d'�dition2012
ISBN 10 3642264492
ISBN 13 9783642264498
ReliureBroch�
Langueanglais
Nombre de pages232
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9783642136474: Analysis and Design of Univariate Subdivision Schemes

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Editeur : Springer, 2010
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Analysis and Design of Univariate Subdivision Schemes

Malcolm Sabin

Edit� par Springer Berlin Heidelberg, 2012

ISBN 10 : 3642264492 ISBN 13 : 9783642264498

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. - All the fundamental ideas- Presented in an accessible fashion even for those whose mathematics is a tool to be used, not a way of life- Separate sections on mathematical techniques providing revision for those needing itThe author has spent his profes. N� de r�f. du vendeur 5054510

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Analysis and Design of Univariate Subdivision Schemes

Malcolm Sabin

Edit� par Springer Berlin Heidelberg, 2012

ISBN 10 : 3642264492 ISBN 13 : 9783642264498

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - '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. N� de r�f. du vendeur 9783642264498

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Analysis and Design of Univariate Subdivision Schemes

Malcolm Sabin

Edit� par Springer Berlin Heidelberg Okt 2012, 2012

ISBN 10 : 3642264492 ISBN 13 : 9783642264498

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'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. 232 pp. Englisch. N� de r�f. du vendeur 9783642264498

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Analysis and Design of Univariate Subdivision Schemes (Geometry and Computing, 6)

Sabin, Malcolm

Edit� par Springer, 2012

ISBN 10 : 3642264492 ISBN 13 : 9783642264498

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Etat : New. In. N� de r�f. du vendeur ria9783642264498_new

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Analysis and Design of Univariate Subdivision Schemes

Malcolm Sabin

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2012, 2012

ISBN 10 : 3642264492 ISBN 13 : 9783642264498

Neuf Taschenbuch

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -�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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 232 pp. Englisch. N� de r�f. du vendeur 9783642264498

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