Refinamento de superfícies de quadriláteros baseado em templates

• Ano de defesa: 2013
• Autor(a) principal: Nakano, Davi Yoshinori Cangussú
• Orientador(a): Liziér, Mario Augusto de Souza
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de São Carlos
• Programa de Pós-Graduação: Programa de Pós-Graduação em Ciência da Computação - PPGCC
• País: BR
• Palavras-chave em Português: Computação - matemática; Quadrilátero; Geometria computacional; Malhas (Matemática); Superfícies (Matemática); Templates
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO
• Link de acesso: https://repositorio.ufscar.br/handle/20.500.14289/596

The computational representation of objects by means of polygonal meshes is widely used in various areas such as modeling, simulation, engineering, rendering process and various other CAD (Computer-Aided Design) and CAE (Computer-Aided Engineering) applications. These polygonal meshes are commonly built with triangles and processing these elements is widely studied, making that such techniques are well established and robust. However, there is a growing interest in quadrilateral meshes as they provide important characteristics for applications such as texturing and modeling with splines. With the increasing interest in the study of unstructured quadrilateral surfaces, there is the rise of new processing techniques related to simplification and refinement. This dissertation presents a complete pipeline for indirect generation of quadrilateral surface meshes, proposing a new refinement method of quadrilateral meshes. This new method is a local iterative subdivision process, ensuring the consistency of the mesh at each iteration and has the following main features: ability to guide the quality of generated quadrilaterals; control the number of generated elements; generate a family of models; control quadrilaterals density (adaptivity) and control the alignment of quadrilaterals lines with features lines of the model. The implementation restricts the refinement to homeomorphic models to a sphere. The results presented illustrate the effectiveness of the refinement technique and adaptivity control.