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Computação exata em geometria projetiva orientada e tratamento de degenerações

Orientador: Pedro J. de Rezende / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Computação / Made available in DSpace on 2018-07-22T23:13:04Z (GMT). No. of bitstreams: 1
Gon_CesarNivaldo_M.pdf: 1429679 bytes, checksum: a6b1dd96077b769c6c67f3675494b1f8 (MD5)
Previous issue date: 1996 / Resumo: Não informado. / Abstract: One of the greatest challenges in computational geometry today is to build the bridge between theory and practice which requires tools for the robust implementation of the algorithms that populate the literature. We attempt here to contribute a step in this direction. In the first part of this thesis, we present an extension to the technique of symbolic perturbation for oriented projective geometry. We describe the implementation of a library based on this technique which consists of geometric primitives sufficient for programming a large class of robust geometric algorithms, using exact arithmetic. In the second part, we describe the design of GeoPrO: a distributed programming environment for geometric visualization. We present an overview of its classes that allow for easy extensibility and portability. Due to a client-server architecture, comprised of a kernel, with multiple contexts, applications and visualizers, GeoPrO supports distributed execution over a heterogeneous network. Visualizers are currently available for the planar and the spheric models of the oriented projective geometry, running on Silicon Graphics workstations, while another is being implemented in Java for multi-platform support. / Mestrado / Mestre em Ciência da Computação

Identiferoai:union.ndltd.org:IBICT/oai:repositorio.unicamp.br:REPOSIP/276166
Date30 July 1996
CreatorsGon, Cesar Nivaldo
ContributorsUNIVERSIDADE ESTADUAL DE CAMPINAS, Rezende, Pedro Jussieu de, 1955-, Rezende, Pedro J. de, Neto, Gilberto Camara, Stolfi, Jorge, Buzato, Luiz Eduardo
Publisher[s.n.], Universidade Estadual de Campinas. Instituto de Computação, Programa de Pós-Graduação em Ciência da Computação
Source SetsIBICT Brazilian ETDs
LanguagePortuguese
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis
Format71f. : il., application/octet-stream
Sourcereponame:Repositório Institucional da Unicamp, instname:Universidade Estadual de Campinas, instacron:UNICAMP
Rightsinfo:eu-repo/semantics/openAccess

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