Subdivision Surfaces

Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathemati...

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Principais autores: Peters, Jörg., Reif, Ulrich., SpringerLink (Online service)
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Endereço do item:http://dx.doi.org/10.1007/978-3-540-76406-9
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spelling oai:localhost:123456789-1297862023-07-17T15:13:10Z Subdivision Surfaces Peters, Jörg. Reif, Ulrich. SpringerLink (Online service) Computação - Matemática. Visão por computador. Sistemas CAD/CAM. Geometria. Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms. The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry. 0 2022-10-06T07:51:02Z 2022-10-06T07:51:02Z 2008. Digital 519.6 P482s 9783540764069 197793 http://dx.doi.org/10.1007/978-3-540-76406-9 http://dx.doi.org/10.1007/978-3-540-76406-9
institution Acervo SISBI
collection SIGAA
topic Computação -
Matemática.
Visão por computador.
Sistemas CAD/CAM.
Geometria.
spellingShingle Computação -
Matemática.
Visão por computador.
Sistemas CAD/CAM.
Geometria.
Peters, Jörg.
Reif, Ulrich.
SpringerLink (Online service)
Subdivision Surfaces
description Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms. The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.
format Digital
author Peters, Jörg.
Reif, Ulrich.
SpringerLink (Online service)
author_facet Peters, Jörg.
Reif, Ulrich.
SpringerLink (Online service)
author_sort Peters, Jörg.
title Subdivision Surfaces
title_short Subdivision Surfaces
title_full Subdivision Surfaces
title_fullStr Subdivision Surfaces
title_full_unstemmed Subdivision Surfaces
title_sort subdivision surfaces
publishDate 2022
url http://dx.doi.org/10.1007/978-3-540-76406-9
work_keys_str_mv AT petersjorg subdivisionsurfaces
AT reifulrich subdivisionsurfaces
AT springerlinkonlineservice subdivisionsurfaces
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