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Medial Axis/Surface Transform

Geometry decomposition technique that locates a medial axis (2D) or surface (3D) for the purpose of simplifying the domain into less complex map-meshable regions.

MESHING
RESEARCH
CORNER

Ang, Pin Yang and Cecil G. Armstrong

    "Adaptive Curvature-Sensitive Meshing of the Medial Axis", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.155-165, October 7-10 2001
    keywords:
    • medial axis
    • curvature
    • adaptive mesh refinement
    Abstract
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Armstrong, Cecil G., Harold J. Fogg, Christopher M. Tierney and Trevor T. Robinson
    "Common themes in multi-block structured quad/hex mesh generation", 24th International Meshing Roundtable, Elsevier Ltd., October 12-14 2015
    keywords:
    • quad meshing
    • hex meshing
    • medial axis
    • paving
    • plastering
    • cross fields
    • frame fields
    Abstract
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Donaghy, R.J., W. McCune, S.J. Bridgett, C.G. Armstrong, D.J. Robinson and R.M. McKeag
    "Dimensional Reduction of Analysis Models", 5th International Meshing Roundtable, Sandia National Laboratories, pp.307-320, October 1996
    keywords:
    • defeaturing
    • dimensional reduction
    • medial axis
    Abstract
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Fogg, Harold J, Cecil G Armstrong, and Trevor T Robinson
    "Decomposition of Domains into Quad Blocks Using the Medial Axis Transform", Research Notes, 20th International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 23-26 2011
    keywords:
    • Multi-block decomposition
    • mesh dislocation positioning
    • medial axis transform
    Abstract
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Fogg, Harold J. and Cecil G. Armstrong, Trevor T. Robinson
    "New techniques for enhanced medial axis based decompositions in 2-D", 23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014
    keywords:
    • medial axis
    • multiblock decomposition
    • block-structured
    • quad mesh
    Abstract
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Gould, Jeremy David Martineau, Robin Fairey.
    "Automated Two-Dimensional Multi-block Meshing Using the Medial Object", 20th International Meshing Roundtable, Springer-Verlag, pp.437-452, October 23-26 2011
    keywords:
    • Medial object
    • automated block decomposition
    • mesh generation
    • structured-dominant mesh
    • two-dimensional mesh
    Abstract
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Guoy, Damrong and Jeff Erickson
    "Automatic Blocking Scheme for Structured Meshing in 2D Multiphase Flow Simulation", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.121-132, September 19-22 2004
    keywords:
    • multiblock structured mesh
    • medial axis
    • Delaunay
    • Voronoi diagram
    • Delaunay refinement
    • multiphase flow simulation
    Abstract
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Holmes, David I.
    "Generalized Method of Decomposing Solid Geometry into Hexahedron Finite Elements", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.141-152, October 1995
    keywords:
    • hexahedron
    • mapped meshing
    • medial axis
    • spatial decomposition
    Abstract
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Ito, Yasushi, Alan M. Shih, Roy P. Koomullil and Bharat K. Soni
    "A Solution-Based Adaptive Redistribution Method for Unstructured Meshes", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.147-162, September 17-20 2006
    keywords:
    • solution-based
    • mesh redistribution
    • remeshing
    • medial axes
    Abstract
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Lu, Jean Hsiang-Chun, Inho Song, William Roshan Quadros and Kenji Shimada
    "Volumetric Decomposition via Medial Object and Pen-based User Interface for Hexahedral Mesh Generation", 20th International Meshing Roundtable, Springer-Verlag, pp.179-195, October 23-26 2011
    keywords:
    • 3D medial object
    • pen-based user interface
    • hexahedral mesh generation
    • geometric decomposition
    • sweeping.
    Abstract
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Lu, Jean Hsiang-Chun, Inho Song, William Roshan Quadros, and Kenji Shimada
    "Geometric Reasoning in Sketch-based Volumetric Decomposition Framework for Hexahedral Meshing", 21st International Meshing Roundtable, Springer-Verlag, pp.297-314, October 7-10 2012
    keywords:
    • 3D medial object
    • geometric reasoning
    • hexahedral meshing
    • sketch-based decomposition
    Abstract
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Price, Mark, Clive Stops and Geoffrey Butlin
    "A Medial Object Toolkit for Meshing and Other Applications", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.219-229, October 1995
    keywords:
    • Application Programmers Interface (API)
    • dimension reduction
    • feature suppression
    • hexahedron
    • medial axis
    • shelling
    Abstract
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Quadros, W. R., K. Ramaswami, F. B. Prinz and B.Gurumoorthy
    "LayTracks: A New Approach To Automated Quadrilateral Mesh Generation using MAT", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.239-250, October 2000
    keywords:
    • lay tracks
    • medial axis
    • quadrilateral
    Abstract
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Quadros, W.R. and Kenji Shimada
    "Hex-Layer: Layered All-Hex Mesh Generation on Thin Section Solids via Chordal Surface Transformation", Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.169-182, September 15-18 2002
    keywords:
    • quadrilateral meshing
    • chordal axis transform
    • medial surface
    • and anisotropic hexahedral mesh generation
    Abstract
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Quadros, William Roshan
    "LayTracks3D: a new approach to meshing general solids using medial axis transform", 23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014
    keywords:
    • Medial Axis Transforms
    • Hex Mesh Generation
    • Geometry Decomposition
    • Assembly Meshing
    Abstract
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Quadros, William Roshan
    "LayTracks3D: Mesh Generator for General Assembly Models using Medial Axis Transform", Research Notes, 22nd International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 13-16 2013
    keywords:
    • Medial Axis
    • LayTracks
    • assembly model meshes
    • hexahedral mesh generation
    Abstract
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Quadros, William Roshan, Steven James Owen, Mike Brewer and Kenji Shimada
    "Finite Element Mesh Sizing for Surfaces Using Skeleton", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.389-400, September 19-22 2004
    keywords:
    • surface meshing
    • sizing function
    • skeleton
    • medial axis transform
    Abstract
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Sampl, Peter
    "Semi-Structured Mesh Generation Based on Medial Axis", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.21-32, October 2000
    keywords:
    • hexahedra
    • medial axis
    • hybrid meshing
    • semi-structured
    • hex-dominant
    Abstract
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Sheffer, Alla, Michal Etzion, Ari Rappoport, Michel Bercovier
    "Hexahedral Mesh Generation using the Embedded Voronoi Graph", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.347-364, October 1998
    keywords:
    • hexahedra
    • medial axis
    • Voronoi graph
    Abstract
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Suresh, Krishnan
    "Generalization of the Kantorovich Method of Dimensional Reduction", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.261-270, Sept. 2003
    keywords:
    • medial axis transform
    • geometric simplification
    • dimensional reduction
    • plate theory
    • CAD
    • CAE
    Abstract
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Tchon, Ko-Foa, Mohammed Khachan, FranÁois Guibault and Ricardo Camarero
    "Constructing anisotropic geometric metrics using octrees and skeletons", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.293-304, Sept. 2003
    keywords:
    • geometric adaptation
    • anisotropic metric
    • octree skeleton
    • boundary curvature
    • domain thickness
    • medial axis transform
    • brush fire
    • sizing function
    Abstract
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Turkiyyah, George, M., Duane W. Storti, Mark Ganter, Hao Chen
    "A Skeleton-Based Approach to Automated Hexahedral Mesh Generation for Solid Models", Proceeding, 4th International Meshing Roundtable, Sandia National Laboratories, pp.late addition, October 1995
    keywords:
    • hexahedron
    • medial axis
    • skeleton-based
    Abstract


White, David R., Robert W. Leland, Sunil Saigal and Steven J. Owen
    "The Meshing Complexity of a Solid: An Introduction", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.373-384, October 7-10 2001
    keywords:
    • meshing complexity
    • geometric queries
    • medial axis
    • geometry management
    • topology
    • complexity
    Abstract
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Xia, Hao and Paul G. Tucker
    "Distance Solutions for Medial Axis Transform", Proceedings, 18th International Meshing Roundtable, Springer-Verlag, pp.247-265, October 25-28 2009
    keywords:
    • Eikonal equation
    • wall distance
    • medial axis transform
    • thinning.
    Abstract
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Yin, Luzhong, Xiaojuan Luo, Mark S. Shephard
    "Identifying and Meshing Thin Sections of 3-d Curved Domains", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.33-54, September 11-14 2005
    keywords:
    • thin sections
    • medial surface
    • prismatic elements
    Abstract
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