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MESHING RESEARCH CORNER
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Borouchaki, H. and S.H. Lo "Fast Delaunay triangulation in three dimensions", Computer methods in applied mechanics and engineering, Elsevier, Vol 128, pp.153-167, 1995
keywords:
- Delaunay
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- point insertion
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- tetrahedron
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Abstract
Borouchaki, H., F. Hecht, E. Saltel and P. L. George "Reasonably Efficient Delaunay Based Mesh Generator in 3 Dimensions", Proceedings 4th International Meshing Roundtable, Sandia National Laboratories, pp.3-14, October 1995
keywords:
Abstract Download Full Paper (Postscript Format)
Borouchaki, H., M.J. Castro-Diaz, P.L. George, F. Hecht, B. Mohammadi "Anisotropic adaptive mesh generation in two dimensions for CFD", 5th International Conference On Numerical Grid Generation in Computational Field Simulations, Mississppi State University, Vol 3, pp.197-206, April 1996
keywords:
- adaptivity
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- anisotropy
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- CFD
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- Delaunay
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- triangle
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Abstract
Borouchaki, H., P. L. George and S.H. Lo "Optimal Delaunay Point Insertion", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.3407-3437, 1996
keywords:
- Delaunay
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- point insertion
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- tetrahedra
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- Voronoi
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Abstract
Borouchaki, H.; George, P. L.; Lo, S. H. "Boundary enforcement by facet splits in Delaunay based mesh generation.", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.203-221, September 2000
keywords:
- Delaunay triangulation
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- triangular
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- triangulation
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Abstract
Borouchaki, Houman and Pascal J. Frey "Optimization Tools for Adaptive Surface Meshing", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.81-88, July 1997
keywords:
- adaptivity
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- decimation
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- faceted surface
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- optimization
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- surface mesh
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Abstract
Borouchaki, Houman and Pascal J. Frey "Adaptive Trangular-Quadrilateral Mesh Generation", International Journal for Numerical Methods in Engineering, Wiley, Vol 41, pp.915-934, 1998
keywords:
- adaptivity
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- anisotropy
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- Delaunay triangulation
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- indirect quad meshing
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- quadrilateral
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- Riemannian structure
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Abstract
Borouchaki, Houman and Paul Louis George "Aspects Of 2-D Delaunay Mesh Generation", International Journal for Numerical Methods In Engineering, Wiley, Vol 40, pp.1957-1975, 1997
keywords:
- Delaunay
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- triangle
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- two-dimensional
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- node placement
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- boundary constrained
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- edge recovery
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- data structure
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Abstract
Borouchaki, Houman, Frederic Hecht and Pascal J. Frey "H-Correction", INRIA Report No. 3199, INRIA, pp.29, June 1997
keywords:
- anisotropy
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- background mesh
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- sizing control
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- adaptivity
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- surface meshing
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- transition control
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- Reimann metric
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Abstract
Borouchaki, Houman, Frederic Hecht and Pascal J. Frey "Mesh Gradation Control", International Journal for Numerical Methods in Engineering, Wiley, Vol 43, pp.1143-1165, 1999
keywords:
- gradation control
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- sizing control
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- adaptivity
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- anisotropy
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- Reimann metric
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- shock correction
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- surface meshing
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Abstract
Borouchaki, Houman, Frediric Hecht and Pascal J. Frey "Mesh Gradation Control", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.131-141, October 1997
keywords:
- anisotropy
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- background mesh
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- curvature
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- gradation
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- Riemann
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- size control
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- surface meshing
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Abstract Download Full Paper (Postscript Format)
Borouchaki, Houman, Pascal J. Frey and Paul Louis George "Unstructured Triangular-Quadrilateral Mesh Generation. Application to Surface Meshing.", 5th International Meshing Roundtable, Sandia National Laboratories, pp.229-242, October 1996
keywords:
- adaptivity
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- anisotropy
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- quadrilateral
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- surface meshing
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- triangle
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Abstract Download Full Paper (Postscript Format)
Borouchaki, Houman, Pascal Lafon, Patrick Laug and Paul-Louis George "Minimal Variational Surfaces and Quality Triangular Meshes", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.217-225, October 2000
keywords:
- minimal variational surfaces
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- quality meshes
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- equilateral meshes
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- regular meshes
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- adaptivity
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- convex quadratic optimization
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- optimization
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- surface meshing
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- size map
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Abstract Download Full Paper (Postscript Format)
Borouchaki, Houman, Patrick Laug and Paul-Louis George "Parametric surface meshing using a combined advancing-front generalized Delaunay approach", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.233-259, September 10-20 2000
keywords:
- parametric surface
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- surface meshing
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- anisotropy
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- Riemannian metric
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- advancing front
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- Delaunay
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- adaptivity
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- triangle
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Abstract
Borouchaki, Houman, Patrick Laug, and Paul-Louis George "About Parametric Surface Meshing", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:
- surface meshing
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- parametric surfaces
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- metric map
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Abstract
Flandrin, N., H. Borouchaki and C. Bennis "3D Hybrid Mesh Generation for Reservoir Flow Simulation", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.133-144, September 19-22 2004
keywords:
- computational geometry
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- hybrid mesh
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- power diagram
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- Delaunay
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- regular triangulations
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Abstract Download Full Paper (Postscript Format)
Frey Pascal J., Houman Borouchaki, Frederic Hecht, Eric Saltel "Adaptive Finite Element Surface Remeshing", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.371-380, July 1998
keywords:
- surface
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- size map
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- curvature
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- facet representation
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- adaptivity
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- remeshing
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- triangle
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Abstract
Frey, P. J.; Borouchaki, H. "Surface meshing using a geometric error estimate", International Journal for Numerical Methods in Engineering, 2003 John Wiley & Sons, Ltd., Vol 58, Num 2, pp.227-245, July 2003
keywords:
- error estimate
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- surface mesh
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Abstract
Frey, Pascal J. and Houman Borouchaki "Surface mesh evaluation", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.363-373, October 1997
keywords:
Abstract Download Full Paper (Postscript Format)
Frey, Pascal J. and Houman Borouchaki "Unit Surface Mesh Simplification", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.51-64, July 1997
keywords:
- decimation
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- derefinement
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- mesh simplification
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- surface meshing
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- triangles
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Abstract
Frey, Pascal J., Houman Borouchaki "Geometric evaluation of finite element surface meshes", Finite Elements in Analysis and Design, Elsevier, Vol 31, pp.33-53, 1998
keywords:
- surface meshing
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- quality
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- piecewise planar surface approximation
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- geometry management
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- surface approximation
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Abstract
Frey, Pascal J., Houman Borouchaki and Paul-Louis George "Delaunay Tetrahedralization using an Advancing-Front Approach", 5th International Meshing Roundtable, Sandia National Laboratories, pp.31-46, October 1996
keywords:
- adaptivity
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- advancing front
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- anisotropy
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- Delaunay
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- tetrahedron
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Abstract Download Full Paper (Postscript Format)
George, Paul Louis and Houman Borouchaki "Back to edge flips in 3 dimensions", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.393-402, Sept. 2003
keywords:
- tetahedra
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- edge flips
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- edge removal
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- edge reduction
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- anisotroopy
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- optimization
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- delaunization
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- optimization
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- boundary integrity
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- topology improvement
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- improvement
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Abstract Download Full Paper (Postscript Format)
George, Paul-Louis and Houman Borouchaki "Delaunay Triangulation and Meshing: Application to Finite Elements", Hermes, pp.413, 1998
keywords:
- adaptivity
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- anisotropy
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- boundary-constrained
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- data structures
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- Delaunay
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- line meshing
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- overview
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- parametric surface
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- Reimann metric
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- tetrahedra
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- triangle
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Abstract
Giraud-Moreau, L., H. Borouchaki and A. Cherouat "A Remeshing Procedure for Numerical Simulation of Forming Processes in Three Dimensions", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.127-144, September 17-20 2006
keywords:
- adaptive remeshing
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- forming process
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- geometrical error estimator
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- thin sheet
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Abstract Download Full Paper (Postscript Format)
Hecht, F, P.L. George, B. Borouchaki, M. Castro-Diaz and B. Mohammadi "Anisotropic Adaptive Mesh Generation for CFD", Lecture Notes: Princeton Conference, July 1996
keywords:
- anisotropy
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- CFD
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- Delaunay
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- metric
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- tetrahedron
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- triangle
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Abstract
Laug, P.; Borouchaki, H. "Adaptive Parametric Surface Meshing Based on Discreet Derivatives", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.719-728, September 2000
keywords:
- adaptive
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- advancing front
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- Delaunay
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- derivative
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- discrete
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- finite element
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- mapping
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- parametric surface
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- Riemannian metric
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Abstract
Laug, P.; Borouchaki, H. "Interpolating and meshing 3D surface grids", International Journal for Numerical Methods in Engineering, 2003 John Wiley & Sons, Ltd., Vol 58, Num 2, pp.209-225, July 2003
keywords:
- anisotropic meshing
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- parametric surface
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- structured grid
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- surface meshing
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- surface reconstruction
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- surface smoothing
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Abstract
Laug, Patrick and Houman Borouchaki "Molecular Surface Modeling and Meshing", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.31-41, October 7-10 2001
keywords:
- molecular surface
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- quality mesh
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- parametric surface
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- riemannian metric
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- advancing front
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- Delaunay
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Abstract Download Full Paper (Postscript Format)
Laug, Patrick and Houman Borouchaki "Surface Grid Generation on Intersecting Spheres", Numerical Grid Generation in Computational Field Simulations, Ed. M. Cross., B. K. Soni, J. F. Thompson, J. Hauser, P. R. Eiseman, Proceedings of the 6th International Conference, held at the University of Greenwich, pp.717-726, July 1998
keywords:
- sphere
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- molecular modeling
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- surface meshing
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- triangle
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- paramaterization
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- chemistry
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Abstract
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