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Interpolation

Methods for interpolating scattered data in two and three dimensions

MESHING
RESEARCH
CORNER

Alauzet, Frederic, Adrien Loseille, Alain Dervieux, and Pascal Frey

    "Multi-Dimensional Continuous Metric for Mesh Adaptation", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.191-214, September 17-20 2006
    keywords:
    • continuous metric
    • metric tensor
    • mesh adaptation
    • anisotropy
    • interpolation error
    • order of convergence
    Abstract
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Atalay, F. Betul and David M. Mount
    "Pointerless Implementation of Hierarchical Simplicial Meshes and Efficient Neighbor Finding In Arbitrary Dimensions", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.15-26, September 19-22 2004
    keywords:
    • data structures
    • pointerless data structures
    • neighbor finding
    • hierarchical meshes
    • simplicial meshes
    • interpolation.
    Abstract
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Baker, Timothy J.
    "Interpolation from a cloud of points", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.55-63, Sept 2003
    keywords:
    • interpolation
    • least squares estimation
    • point clouds
    • solution projection
    • surface reconstruction
    Abstract
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Barral, Nicolas and Edward Luke, Frederic Alauzet
    "Two mesh deformation methods coupled with a changing-connectivity moving mesh method for CFD applications", 23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014
    keywords:
    • Moving mesh
    • Inverse Distance Weighted interpolation
    • Elasticity-based mesh deformation
    • ALE simulations
    Abstract
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Beatty, Kirk and Nilanjan Mukherjee
    "Flattening 3D Triangulations for Quality SurfaceMesh Generation", Proceedings, 17th International Meshing Roundtable, Springer-Verlag, pp.125-140, October 12-15 2008
    keywords:
    • flattening
    • free-boundary
    • interpolation
    • Langrange multipliers
    • parameterization
    • periodic
    • transfinite
    • triangle.
    Abstract
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Diaz-Morcillo, Alejandro, Agustin Bernal-Ros and Luis Nuno
    "Mesh Generation Methods Over Plane and Curved Surfaces", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.397-407, October 1998
    keywords:
    • quadrilateral
    • triangle
    • surface meshing
    • advancing front
    • transfinite interpolation
    • multiblock
    • structured
    • ruled surface
    • quadric surface
    • revolution surface
    Abstract
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Jiao, Xiangmin, Herbert Edelsbrunner and Michael T. Heath
    "Mesh Association: Formulation and Algorithms", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.75-82, October 1999
    keywords:
    • computational geometry
    • point association
    • data transfer
    • search
    • interpolation
    • geometry management
    • data structures
    Abstract
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Lague, Jean-Francois and Frederic Hecht
    "Optimal Mesh for P1 Interpolation in H1 Seminorm", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.259-270, September 17-20 2006
    keywords:
    • interpolation
    • hessian
    • adaptivity
    • optimal mesh
    Abstract
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Lohner, Rainald
    "Surface Gridding from Discrete Data", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.29-44, October 1995
    keywords:
    • advancing front
    • interpolation
    • scattered data
    • surface mesh
    • surface reconstruction
    • terrain modeling
    Abstract
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Mezentsev, Andrey
    "An Efficient Geometrical Model for Meshing Applications in Heterogeneous Environments", Proceedings, 16th International Meshing Roundtable, Springer-Verlag, pp.151-168, October 14-17 2007
    keywords:
    • solid modeling
    • boundary representation
    • subdivision surfaces
    • surface mesh generation
    • surface data interpolation
    Abstract
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Owen, Steven J. and Sunil Saigal
    "Neighborhood-Based Element Sizing Control for Finite Element Surface Meshing", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.143-154, October 1997
    keywords:
    • background mesh
    • boundary layer
    • CFD
    • curvature
    • natural neighbor interpolation
    • size control
    • surface meshing
    Abstract
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Paoletti, Stefano
    "A Comparison of Parametric Space vs. RealSpace Triangular Meshing Algorithms", Proceedings, 11th International Meshing Roundtable, Springer-Verlag, September 15-18 2002
    keywords:
    • mesh optimization
    • smoothing
    • interpolation tensor
    • condition number
    • polygons
    • polyhedra
    • meshless
    Abstract
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Sastry, Shankar P. and Robert M. Kirby
    "On Interpolation Errors over Quadratic Nodal Triangular Finite Elements", 22nd International Meshing Roundtable, Springer-Verlag, pp.349-366, October 13-16 2013
    keywords:
    • interpolation
    • quadratic nodal triangular elements
    Abstract
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