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(09) Non-manifold Geometric Modeling as a Framework for Computational Mechanics

Author
Martha, Luiz Fernando
Abstract
Geometric modeling is an area of computer graphics that deals with creation, manipulation, maintenance, and analysis
of representations of geometric forms of two and three-dimensional objects. It is applied in several fields, such as
movie production, design of industrial mechanical parts, scientific visualization, and reproduction of objects for
analysis in engineering. Historically, geometric modeling has evolved from wireframe modeling to surface modeling,
solid modeling, and non-manifold modeling. Non-manifold geometric modeling allows the representation of multiregion
objects, of internal or dangling structures, and of lower dimensions degenerated parts. Many application areas
of geometric modeling take advantage of the additional features of non-manifold representation. In computational
mechanics, for example, it is common the analysis of idealized structures such as shells combined with solids and
beams. Another application is the representation of heterogeneous objects with regions with common volumes,
coincident faces, internal structures, and solids consisting of different materials. This lecture illustrates the use of
topological data structures for non-manifold representations as a framework for numerical simulations in
computational mechanics. The main focus here is on the development of strategies for mesh generation for modeling
heterogeneous objects such as subsurface geological models.
Description
Luiz Fernando Martha, PhD ‘89 Professor of Civil Engineering, Pontifical Catholic University of Rio de Janeiro (PUC-Rio),
Brazil Member and Manager, Computer Graphics Technology Group (Tecgraf), PUC-Rio
Date Issued
2014-09-27Publisher
The Internet-First University Press
Type
video/moving image