Smoothing Techniques

MESHING
RESEARCH
CORNER

Amenta, Nina, Marshall Bern and David Eppstein

"Optimal Point Placement for Mesh Smoothing", 7th Annual ACM-Siam Symposium on Discrete Algorithms, ACM, 1997
keywords:


linear programming	point location
smoothing

Abstract

"A Direct Smoothing Method For Surface Meshes", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.189-193, October 1999
keywords:


mesh smoothing	direct method
surface mesh	quadrilateral
triangular

Abstract
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"Mesh Smoothing Using A Posteriori Error Estimates", SIAM J. Numerical Analysis, Elsevier, Vol 34, pp.979-997, 1997
keywords:


adaptivity	smoothing
triangle

Abstract

"Smoothing, enrichment and contact in the element-free Galerkin method", Computers and Structures, Pergammon, Vol 71, pp.173-195, 1999
keywords:


element-free Galerkin	smoothing
meshless	composite materials
thermomechanical properties	Nonlinear constitutive law; incremental mean field method
Mon-Tanaka method	implicit implementation

Abstract

"Multilevel accelerated optimization for problems in grid generation", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.351-359, Sept. 2003
keywords:


smoothing	optimization
multilevel methods	coarsening
untangling	triangle
anisotropy

Abstract
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"Intuitive, Interactive, and Robust Modification and Optimization of Finite Element Models", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.59-70, September 19-22 2004
keywords:


freeform modeling	interaction
smoothing	optimization
manipulators

Abstract
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"Reliable Delaunay-Based Mesh Generation and Mesh Improvement", Communications in Numerical Methods in Engineering, Wiley, Vol 10, pp.773-783, 1994
keywords:


boundary-constrained	Delaunay
refinement	relaxation
triangle	two-dimensional

Abstract

"Anisotropic Mesh Generation with Particles", Dissertation, School of Computer Science, Carnegie Mellon University, May 1996
keywords:


bubble	particles
physically-based	adaptivity
anisotropy	Riemannian metric
smoothing

Abstract

"Cell quality metric and variational grid smoothing algorithm", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.371-390, Sept. 2003
keywords:


smoothing	quality
metrics

Abstract
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"Smoothing and Adaptive Redistribution for Grids With Irregular Valence and Hanging Nodes", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.333-344, September 19-22 2004
keywords:


smoothing	adaptive redistribution
quality metrics	refinement
structured

Abstract
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"The Mesquite Mesh Quality Improvement Toolkit", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.239-250, Sept. 2003
keywords:


quality	smoothing
Mesquite	toolkit

Abstract
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"All-hexahedral mesh smoothing with a node-based measure of quality", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 50, Num 8, pp.1957-1967, March 2001
keywords:


all-hexahedral mesh	hexahedral mesh
Jacobian metric	smoothing
unstructured mesh

Abstract

"Optismoothing: An optimization-driven approach to mesh smoothing", Finite Elements in Analysis and Design, Elsevier Science Publishers, Num 13, pp.185-190, 1993
keywords:


finite elements	hexahedron
optimization	smoothing
three-dimensional

"An Approach to Combined Laplacian and Optimization-Based Smoothing for Triangular, Quadrilateral, and Quad-Dominant Meshes", 7th International Meshing Roundtable, Sandia National Labs, pp.479-494, October 1998
keywords:


smoothing	Laplacian smoothing
optimization-based smoothing	triangle
quadrilateral	metric

Abstract
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"Improving Grid Quality Through Grid Adaption", 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.351-360, July 1998
keywords:


adaptivity	smoothing
node based adaption	hybrid

Abstract

"Optimization of Unstructured Grid", 33rd Aerospace Sciences Meeting and Exhibit, American Institute of Aeronautics and Astronautics, pp.1-10, January 1995
keywords:


optimization	clean-up
smoothing

Abstract

"Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.109-120, September 19-22 2004
keywords:


anisotropic mesh adaptation	Delaunay
Voronoi tessellation	smoothing

Abstract
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"Combined Laplacian and optimization-based smoothing for quadratic mixed surface meshes", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.201-213, Sept. 2003
keywords:


smoothing	optimization-based smoothing
constrained-Laplacian smoothing	smoothing objective function
surface meshing	smoothing quadratic elements

Abstract
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"A new automatic hexahedral mesher based on cutting", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 50, Num 9, pp.2109-2126, March 2001
keywords:


automatic	automatic
cutting	smoothing

Abstract

"Unstructured 20-Node Brick Element Meshing", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.369-376, October 1999
keywords:


hexahedra	mesh generation
cutting	smoothing
quadratic	inside-out
grid-based

Abstract
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"Unstructured 20- node brick element meshing", Computer Aided Design, Elsevier, Vol 33, Num 3, pp.233-249, March 2001
keywords:


hexahedra	cutting
smoothing	quadratic
inside-out	grid-based
MPC

Abstract

"Force-Directed Methods for Smoothing Unstructured Triangular and Tetrahedral Meshes", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.395-406, October 2000
keywords:


smoothing	force-directed methods
unstructured	triangle
tetrahedra

Abstract
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"When Mesh Generators Require Enhancements", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.525-537, October 1998
keywords:


triangle	smoothing
quality	enhancements

Abstract

"Laplacian Smoothing and Delaunay Triangulations", Communications in Applied Numerical Methods, Wiley, Vol 4, pp.709-712, 1988
keywords:


smoothing

Laplacian smoothing

Abstract

"Structural Improvement of Planar Triangulations: Some Constraints and Practical Issues", Communications in Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 11, pp.191-198, 1995
keywords:


clean-up	relaxation
smoothing	triangle

Abstract

"Increasing the Tau3P abort-time via mesh quality improvement", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.379-390, Sept. 2003
keywords:


quality	smoothing
optimization	computational electromagnetics

Abstract
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"On Combining Laplacian and Optimization-Based Mesh Smoothing Techniques", AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp.37-43, July 1997
keywords:


laplacian	optimization
smoothing

Abstract

"A Comparison of Tetrahedral Mesh Improvement Techniques", 5th International Meshing Roundtable, Sandia National Laboratories, pp.87-106, October 1996
keywords:


metric	optimization
quality	smoothing
swapping	topology

Abstract
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"Tetrahedral Mesh Improvement Using Swapping and Smoothing", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.3979-4002, 1997
keywords:


clean-up	smoothing
tetrahedra

Abstract

"The Effect Of Mesh Quality On Solution Efficiiency", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.249, October 1997
keywords:


quality

smoothing

Abstract
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"Tetrahedral Element Shape Optimization via the Jacobian Determinant and Condition Number", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.247-258, October 1999
keywords:


improvement	optimization-based smoothing
quality	untangling
smoothing

Abstract
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"Local Optimization-Based Untangling Algorithms for Quadrilateral Meshes", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.397-406, October 7-10 2001
keywords:


quadrilateral	untangling
improvement	quality
smoothing

Abstract
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"Local optimization-based simplicial mesh untangling and improvement", International Journal for Numerical Methods in Engineering, John Wiley, Vol 49, Num 1, pp.109-125, September 10-20 2000
keywords:


untangling	mesh improvement
quality	smoothing
optimization-based smoothing

Abstract

"Tetrahedral mesh improvement via optimization of the element condition number", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 53, Num 6, pp.1377 - 1391, February 2002
keywords:


element condition number	mesh improvement
mesh quality	mesh smoothing
optimization-based smoothing

Abstract

"Local Optimization-based Simplicial Mesh Untangling and Improvement", 2nd Symposium on Trends in Unstructured Mesh Generation, University of Colorado, Boulder, August 1999
keywords:


smoothing	optimization-based smoothing
topological improvement	untangling
clean-up

Abstract

"An Efficient Parallel Algorithm for Mesh Smoothing", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.47-58, October 1995
keywords:


optimization	parallel processing
smoothing

Abstract
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"A Comparison of Inexact Newton and Coordinate Descent Mesh Optimization Techniques", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.243-254, September 19-22 2004
keywords:


quality	improvement
optimization	smoothing

Abstract
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"Mesh relaxation: A new Technique for Improving Triangulations", International Journal For Numerical Methods in Engineering, Vol 31, pp.1121-1133, 1991
keywords:


refinement	relaxation
triangle	two-dimensional

"Improvements on Delaunay-based Three-Dimensional Automatic Mesh Generator", Finite Elements in Analysis and Design, Elsevier, Vol 25, pp.297-317, 1997
keywords:


boundary constrained	clean-up
Delaunay	point insertion
smoothing	tetrahedra

Abstract

"Tet Meshing: Construction, Optimization, And Adaptation", Proceedings, 8th International Meshing Roundtable, South Lake Tahoe, CA, U.S.A., pp.133-141, October 1999
keywords:


tetrahedra	constrained triangulation
Delaunay	overview
adaptivity	optimization
smoothing

Abstract
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"An Approach to Refining Three-Dimensional Tetrahedral Meshes Based on Delaunay Transformations", International Journal for Numerical Methods in Engineering, John Wiley, Num 37, pp.793-812, 1994
keywords:


adaptivity	Delaunay triangulation
finite elements	node generation
refinement	relaxation
smoothing	tetrahedron
three-dimensional	triangulation
Voronoi

Abstract

"An Algorithm of Quadrilateral Mesh Rezoning", FEMIF, October 1995
keywords:


quadrilateral	rezoning
smoothing

"Generalized Laplacian Smoothing of Unstructured Grids", Communications in Numerical Methods in Engineering, Wiley, Vol 11, pp.455-464, 1995
keywords:


smoothing	Laplacian smoothing
surface meshing	anisotropy
metric tensor

Abstract

"Mesh Generation and Adaptivity for the Solution of Compressible Viscous High Speed Flows", International Journal for Numerical Methods in Engineering, Wiley, Vol 38, pp.1123-1148, 1995
keywords:


line relaxation	adaptivity
Navier-Stokes equations	triangle
tetrahedra	CFD

Abstract

"Finite Element Mesh Generation Methods: A Review and Classification", Computer Aided Design, Butterworth & Co. Ltd, Vol 1, Num 20, pp.27-38, Jan/Feb 1988
keywords:


classification	Delaunay triangulation
finite elements	smoothing
three dimensional	two-dimensional

Abstract

"Genetic Algorithms, Another Tool for Quad Mesh Optimization?", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.497-504, October 1998
keywords:


genetic algorithm	artificial intelligence
smoothing	optimization

Abstract
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"Unstructured Boundary Layer Grid Generation", Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.13-25, September 2000
keywords:


boundary layer	boundary layers
elliptic smoothing	grid repair
hyperbolic	prism

Abstract

"On Anisotropic Mesh Generation and Quality Control in Complex Flow Problems", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.341-349, October 7-10 2001
keywords:


anisotropy	mesh control
hybrid grid generation	CFD
smoothing

Abstract
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"Volume and Feature Preservation in Surface Mesh Optimization", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.359-374, September 17-20 2006
keywords:


optimization	smoothing
surface meshes	volume conservation
feature detection

Abstract
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"Algorithm for Smoothing Triangulated Surfaces", Journal of Computing in Civil Engineering, ASCE, Vol 1, Num 5, pp.85-102, Jan 1991
keywords:


contouring	scattered data
smoothing	TINS
two-dimensional

"Optimization of Finite Element Grids Using Shape Sensitivity Analysis in Terms of Nodal Positions", Finite Elements in Analysis and Design, Wiley, Vol 26, pp.1-19, 1997
keywords:


optimization

smoothing

Abstract

"Unstructured Grid Adaption for Non-Convex Domains", Numerical Grid Generation in Computational Fluid Mechanics `88, Pineridge Press, pp.599-609, 1988
keywords:


adaptivity	triangle
smoothing	spring analogy
physically based	bubble

Abstract

"Anisotropic Smoothing And Solution Adaption For Unstructured Grids", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.3163-3174, 1996
keywords:


adaptivity	anisotropy
Delaunay	smoothing

Abstract

"A method for hexahedral mesh shape optimization", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.319-332, July 2003
keywords:


condition number	hexahedral meshing
mesh optimization	mesh quality
mesh smoothing

Abstract

"Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part II--A framework for volume mesh optimization and the coni", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 48, Num 8, pp.1165 - 1185, July 2000
keywords:


condition number	finite element mesh
mesh optimization	smoothing
unstructured grid generation

Abstract

"Applications of Mesh Smoothing: Copy, Morph, and Sweep on Unstructured Quadrilateral Meshes", International Journal for Numerical Methods in Engineering, Wiley, Vol 45, pp.37-45, 1999
keywords:


hexahedra	smoothing
sweeping	copy
morph	quadrilateral

Abstract

"Winslow Smoothing On Two-Dimensional Unstructured Meshes", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.449-457, October 1998
keywords:


winslow smoothing	quadrilateral
smoothing	elliptic smoothing

Abstract
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"Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part I--a framework for surface mesh optimization", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 48, Num 3, pp.401 - 420, May 2000
keywords:


finite element mesh	mesh optimization
mesh smoothing	unstructured grid generation

Abstract

"Hexahedral Mesh Generation for the Simulation of the Human Mandible", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.423-434, October 2000
keywords:


hexahedra	quadrilateral
optimized mesh smoothing	human mandible
cycle-elimination

Abstract
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"Remeshing for metal forming simulations--Part II: Three-dimensional hexahedral mesh generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 53, Num 11, pp.2501 - 2528, April 2002
keywords:


hexahedral mesh	metal forming
modified Laplacian mesh smoothing	three-dimensional remeshing

Abstract

"Remeshing for metal forming simulations—Part I: Two-dimensional quadrilateral remeshing", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 53, Num 11, pp.2463 - 2500, April 2002
keywords:


fast Fourier transform (FFT)	mesh density smoothing
metal forming simulation	modified Laplacian mesh smoothing
quadrilateral mesh generation	two-dimensional remeshing

Abstract

"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	parametric surface
structured grid	surface meshing
surface reconstruction	surface smoothing

Abstract

"Distortion Measures and Inverse Mapping for Isoparametric 8-Node Plane Finite Elements with Curved Boundaries", Communications in Numerical Methods in Engineering, Wiley, Vol 14, pp.87-101, 1998
keywords:


isoparametric	midnodes
smoothing	distortion measures
quality	inverse maps
quadratic elements

Abstract

"A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 58, Num 2, pp.277-300, July 2003
keywords:


advancing front technique	anisotropic mesh generation
indirect quadrilateral mesh generation	local and global anisotropic mesh smoothings
systemic merging technique

Abstract

"Three-dimensional unstructured mesh generation: Part 3. Volume meshes", Computer methods in applied mechanics and engineering, Elsevier, Vol 134, pp.285-310, 1996
keywords:


boundary constrained	Delaunay
metric	quality
smoothing	tetrahedron

Abstract

"Smoothing by optimisation for a quadrilateral mesh with invalid elements", Finite Elements in Analysis and Design, Elsevier, Vol 34, pp.37-60, 2000
keywords:


smoothing	optimization
invalid elements	untangling
quadrilateral

Abstract

"Error Estimates for Hessian-based Mesh Adaption Algorithms with Control of Adaptivity", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.345-352, September 19-22 2004
keywords:


adaption	Hessian-based metrics
quality	error estimates
smoothing

Abstract
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"A Generalized Graph-Theoretic Mesh Optimization Model", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.255-264, September 19-22 2004
keywords:


optimization	smoothing
graph-theoretic mesh model	algebraic multigrid
hybrid mesh

Abstract
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"Anisotropic Validation of Hexahedral Meshes for Composite Materials in Biomechanics", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.249-260, October 7-10 2001
keywords:


hexahedra	quality
optimized mesh smoothing	smoothning
human mandible	biomechanics
dual-cycle elimination method

Abstract
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"A New Approach to Free-form Surface Mesh Control in a CAD Environment", International Journal for Numerical Methods in Engineering, Wiley, Vol 38, Num 18, pp.3121-3142, September 1995
keywords:


CAD	refinement
smoothing	surface meshing

"Simplicial Meshing with Automatic Length Scale Computation", 1997
keywords:


adaptivity	node location
smoothing	tetrahedra
triangle

Abstract

"A Survey of Unstructured Mesh Generation Technology", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.239-267, October 1998
keywords:


overview	classification
software	triangle
quadrilateral	tetrahedra
hexahedra	surface meshing
refinement	clean-up
smoothing	Delaunay
advancing front	octree
plastering	paving
whisker weaving	grid-based
indirect

Abstract
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"Non-Simplicial Unstructured Mesh Generation", Dissertation, Department of Civil and Environmental Engineering, Carnegie Mellon University, April 1999
keywords:


boundary constrained	overview
classification	hexahedra
quadrilateral	Q-Morph
H-Morph	boundary recovery
edge recovery	face recovery
element sizing	natural neighbor interpolation
data structure	pyramid
cleanup	smoothing
tetrahedral transformations

Abstract
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"A Comprehensive Modeling Environment for the Simulation of Groundwater Flow and Transport", Engineering With Computers, Springer-Verlag, Vol 12, pp.235-242, December 1996
keywords:


Delaunay	finite elements
GMS	groundwater
iso-surface	kriging
MODFLOW	natural neighbor interpolation
paving	relaxation
site characterization	three-dimensional
TINS	triangulation
two-dimensional

Abstract

"A constrained optimization approach to finite element mesh smoothing", Finite Elements in Analysis and Design, Elsevier, Vol 9, pp.309-320, 1991
keywords:


smoothing	optimization-based smoothing
octree

Abstract

"A 3D contact smoothing method using Gregory patches", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 54, Num 8, pp.1161 - 1194, July 2002
keywords:


contact	finite elements
smoothing

Abstract

"Combination of Adaptivity and Mesh Smoothing for the Finite Element Analysis of Shells with Intersections", International Journal for Numerical Methods in Engineering, Wiley, Vol 40, pp.2459-2474, 1997
keywords:


adaptivity	error computation
linear analysis	mesh smoothing
quadrilateral	shell structures

Abstract

"Combination of Adaptivity and Mesh Smoothing for the Finite Element Analysis of Shells with Intersections", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 40, Num 13, pp.2459 - 2474, July 1997
keywords:


adaptivity	error computation
linear finite element analysis	mesh smoothing
shell structures

Abstract

"A new least-squares approximation of affine mappings for sweep algorithms", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.433-448, September 11-14 2005
keywords:


hexahedra	node projection
smoothing	sweeping

Abstract
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"A New Algorithm for Unstructured Quadrilateral Mesh Generation and Rezoning", FEMIF, September 1993
keywords:


quadrilateral	rezoning
smoothing

Abstract

"Adaptive Sweeping Techniques", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.417-432, September 11-14 2005
keywords:


decomposition	hexahedra
node projection	smoothing
sweeping

Abstract
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"Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes", Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.167-176, October 7-10 2001
keywords:


ALE	rezoning
optimization	reference Jacobian
condition number	smoothing

Abstract
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"A mesh warping algorithm based on weighted Laplacian smoothing", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.147-158, Sept. 2003
keywords:


moving meshes	optimization-based smoothing
smoothing	tetrahedra
cardiology	bio-medical
faceted surface representations

Abstract
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"Mesh Smoothing Based on Riemannian Metric Non-Conformity Minimization", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.271-288, September 17-20 2006
keywords:


mesh quality	mesh optimization
mesh adaptation	element size
element shape	metric comparison
boundary orthogonality	anisotropy
metric	smoothing

Abstract
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"Generation of Volume Meshes by Extrusion from Surface Meshes of Arbitrary Topology", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.385-393, October 2000
keywords:


hybrid meshes	elliptic smoothing
Winslow smoothing	smoothing
structured	advancing layer

Abstract
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"FEM-remeshing technique applied to crack growth problems", Computer Methods in Applied Mechanics and Engineering, Elsevier, Vol 160, pp.115-131, 1998
keywords:


remeshing	crack propagation
nodal relaxation

Abstract

"Optimization Strategies in Unstructured Mesh Generation", International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 39, Num 12, pp.2055 - 2071, June 1996
keywords:


finite elements	finite volume methods
optimization	smoothing
unstructured mesh generation

Abstract

"Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes with Geometric Flow", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.449-468, September 11-14 2005
keywords:


quadrilateral	hexahedra
surface smoothing	feature preservation
quality improvement	geometric flow

Abstract
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"Three-dimensional unstructured mesh generation: Part 2. Surface meshes", Computer Methods in Applied Mechanics and Engineering, Elsevier, Vol 134, pp.269-284, 1996
keywords:


CAD	parametric surfaces
quadrilateral	smoothing
surface meshing	triangle

Abstract

"An Angle-Based Approach to Two-Dimensional Mesh Smoothing", Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.373-384, October 2000
keywords:


smoothing	average angle
Laplacian	optimization-based
triangule	quadrilateral

Abstract
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