Choosing corners of rectangles for mapped meshing

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Description

Consider mapping a regular i x j quadrilateral mesh of a rectangle onto a surface. The quality of the mapped mesh of the surface depends heavily on which vertices of the surface correspond to corners of the rectangle. The authors problem is, given an n-sided surface, chose as corners four vertices such that the surface resembles a rectangle with corners at those vertices. Note that n could be quite large, and the length and width of the rectangle, i and j, are not prespecified. In general, there is either a goal number or a prescribed number of mesh edges for ... continued below

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12 p.

Creation Information

Mitchell, S. A. December 16, 1996.

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  • Mitchell, S. A. Sandia National Labs., Albuquerque, NM (United States). Parallel Computing Sciences Dept.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

Consider mapping a regular i x j quadrilateral mesh of a rectangle onto a surface. The quality of the mapped mesh of the surface depends heavily on which vertices of the surface correspond to corners of the rectangle. The authors problem is, given an n-sided surface, chose as corners four vertices such that the surface resembles a rectangle with corners at those vertices. Note that n could be quite large, and the length and width of the rectangle, i and j, are not prespecified. In general, there is either a goal number or a prescribed number of mesh edges for each bounding curve of the surface. The goals affect the quality of the mesh, and the prescribed edges may make finding a feasible set of corners difficult. The algorithm need only work for surfaces that are roughly rectangular, particular those without large reflex angles, as otherwise an unstructured meshing algorithm is used instead. The authors report on the theory and implementation of algorithms for this problem. They also given an overview of a solution to a related problem called interval assignment: given a complex of surfaces sharing curves, globally assign the number of mesh edges or intervals for each curve such that it is possible to mesh each surface according to its prescribed quadrilateral meshing algorithm, and assigned and user-prescribed boundary mesh edges and corners. They also note a practical, constructive technique that relies on interval assignment that can generate a quadrilateral mesh of a complex of surfaces such that a compatible hexahedral mesh of the enclosed volume exists.

Physical Description

12 p.

Notes

OSTI as DE97001886

Source

  • Symposium on computational geometry, Nice (France), 4 Jun 1997

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  • Other: DE97001886
  • Report No.: SAND--96-2996C
  • Report No.: CONF-970664--1
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 474902
  • Archival Resource Key: ark:/67531/metadc674260

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Creation Date

  • December 16, 1996

Added to The UNT Digital Library

  • July 25, 2015, 2:21 a.m.

Description Last Updated

  • April 14, 2016, 3:21 p.m.

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Mitchell, S. A. Choosing corners of rectangles for mapped meshing, article, December 16, 1996; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc674260/: accessed October 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.