Geração Automática de Malhas de Elementos Finitos e a Estrutura de Dados Winged-Edge Modificada
DOI:
https://doi.org/10.5540/tema.2002.03.01.0121Abstract
Neste trabalho objetivamos discutir a aplicação do problema de triangula ção à geração automática de malhas de elementos finitos triangulares. A discretiza ção de um objeto bidimensional arbitrário é realizada através da técnica de avanço da fronteira em duas fases, enquanto a completa representação do objeto e da malha é feita usando-se a estrutura de dados topológica winged-edge modificada, desenvolvida originariamente para a representação de objetos físicos poliedrais no contexto da Visão Computacional e da Modelagem de Sólidos. Apresentamos, ainda, uma discussão pormenorizada dos diferentes aspectos teóricos associados a esta estrutura, bem como dos operadores topológicos de Euler, que são os responsáveis por manterem a consistência da conectividade durante o processo construtivo da malha. é exatamente aqui que ocorre a contribuição mais relevante deste trabalho, que está associada à forma como esses operadores foram devidamente integrados à técnica de avanço da fronteira.References
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