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Hex-Mesh Generation and Processing: A Survey

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THE WHISKER WEAVING ALGORITHM: A CONNECTIVITY-BASED METHOD FOR CONSTRUCTING ALL-HEXAHEDRAL FINITE ELEMENT MESHES
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HEXAHEDRAL MESH GENERATION BY MEDIAL SURFACE SUBDIVISION: PART II. SOLIDS WITH FLAT AND CONCAVE EDGES
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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 condition number of the Jacobian matrix
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Jacobians for isoparametric finite elements
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Generating a mixed mesh of hexahedra, pentahedra and tetrahedra from an underlying tetrahedral mesh
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Automated hexahedral mesh generation by generalized multiple source to multiple target sweeping
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H-Morph: an indirect approach to advancing front hex meshing
inferredcites →https://doi.org/10.1002/9780470611166openalex-snapshot
Mesh Generation
inferredcites →https://doi.org/10.1002/cnm.1067openalex-snapshot
Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow
inferredcites →https://doi.org/10.1002/cnm.1256openalex-snapshot
88‐Element solution to Schneiders' pyramid hex‐meshing problem
inferredcites →https://doi.org/10.1002/fld.1878openalex-snapshot
A particle swarm optimization approach for hexahedral mesh smoothing
inferredcites →https://doi.org/10.1002/nme.139openalex-snapshot
The generation of hexahedral meshes for assembly geometry: survey and progress
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Improved many-to-one sweeping
inferredcites →https://doi.org/10.1002/nme.1620381910openalex-snapshot
Hexahedral mesh generation by medial surface subdivision: Part I. Solids with convex edges
inferredcites →https://doi.org/10.1002/nme.2470openalex-snapshot
Octree‐based reasonable‐quality hexahedral mesh generation using a new set of refinement templates
inferredcites →https://doi.org/10.1002/nme.2579openalex-snapshot
Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities
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Unconstrained plastering—Hexahedral mesh generation via advancing‐front geometry decomposition
inferredcites →https://doi.org/10.1002/nme.2764openalex-snapshot
A fictitious energy approach for shape optimization
inferredcites →https://doi.org/10.1002/nme.2800openalex-snapshot
Hexahedral Mesh Matching: Converting non‐conforming hexahedral‐to‐hexahedral interfaces into conforming interfaces
inferredcites →https://doi.org/10.1002/nme.2876openalex-snapshot
A close look at valences in hexahedral element meshes
inferredcites →https://doi.org/10.1002/nme.3207openalex-snapshot
Isotropic conforming refinement of quadrilateral and hexahedral meshes using two‐refinement templates
inferredcites →https://doi.org/10.1002/nme.3261openalex-snapshot
Quality improvement methods for hexahedral element meshes adaptively generated using grid‐based algorithm
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Automatic feature‐preserving size field for three‐dimensional mesh generation
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A method for hexahedral mesh shape optimization
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Automated refinement of conformal quadrilateral and hexahedral meshes
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Shape regularity conditions for polygonal/polyhedral meshes, exemplified in a discontinuous Galerkin discretization
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Proceedings of the 14th International Meshing Roundtable
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Unconstrained Paving & Plastering: A New Idea for All Hexahedral Mesh Generation
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A characterization of the quadrilateral meshes of a surface which admit a compatible hexahedral mesh of the enclosed volume
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Improving Hexahedral-FEM-Based Plasticity in Surgery Simulation
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Geometric Challenges in Isogeometric Analysis
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HexDom: Polycube-Based Hexahedral-Dominant Mesh Generation
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VEM and the Mesh
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Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes
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Advanced Automatic Hexahedral Mesh Generation from Surface Quad Meshes
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A Constructive Approach to Constrained Hexahedral Mesh Generation
inferredcites →https://doi.org/10.1007/978-3-540-34958-7_27openalex-snapshot
Unconstrained Paving and Plastering: Progress Update
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An Extension of the Reliable Whisker Weaving Algorithm
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SPR — A New Method for Mesh Improvement and Boundary Recovery
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Local Dual Contributions on Simplices: A Tool for Block Meshing
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Mesh Smoothing Algorithms for Complex Geometric Domains
inferredcites →https://doi.org/10.1007/978-3-642-04319-2_22openalex-snapshot
Tensor-Guided Hex-Dominant Mesh Generation with Targeted All-Hex Regions
inferredcites →https://doi.org/10.1007/978-3-642-04319-2_36openalex-snapshot
A Comparison of Gradient- and Hessian-Based Optimization Methods for Tetrahedral Mesh Quality Improvement
inferredcites →https://doi.org/10.1007/978-3-642-04319-2_5openalex-snapshot
Advances in Octree-Based All-Hexahedral Mesh Generation: Handling Sharp Features
inferredcites →https://doi.org/10.1007/978-3-642-15414-0_15openalex-snapshot
Sharp Feature Preservation in Octree-Based Hexahedral Mesh Generation for CAD Assembly Models
inferredcites →https://doi.org/10.1007/978-3-642-27413-8_12openalex-snapshot
Practical Mixed-Integer Optimization for Geometry Processing
inferredcites →https://doi.org/10.1007/978-3-642-33573-0_31openalex-snapshot
OpenVolumeMesh – A Versatile Index-Based Data Structure for 3D Polytopal Complexes
inferredcites →https://doi.org/10.1007/978-3-642-33573-0_4openalex-snapshot
Mesh Improvement Methodology for 3D Volumes with Non-planar Surfaces
inferredcites →https://doi.org/10.1007/978-3-642-54382-1_11openalex-snapshot
Planar Parametrization in Isogeometric Analysis
inferredcites →https://doi.org/10.1007/978-3-662-59958-7_4openalex-snapshot
Cinolib: A Generic Programming Header Only C++ Library for Processing Polygonal and Polyhedral Meshes
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A grid-based algorithm for the generation of hexahedral element meshes
inferredcites →https://doi.org/10.1007/bf01199047openalex-snapshot
Seams and wedges in plastering: A 3-D hexahedral mesh generation algorithm
inferredcites →https://doi.org/10.1007/bf02161362openalex-snapshot
On the finite element method
inferredcites →https://doi.org/10.1007/bf02519040openalex-snapshot
Convergence of subdivision and degree elevation
inferredcites →https://doi.org/10.1007/bf02811901openalex-snapshot
Distortion, degeneracy and rezoning in finite elements — A survey
inferredcites →https://doi.org/10.1007/s00366-004-0290-6openalex-snapshot
CCSweep: automatic decomposition of multi-sweep volumes
inferredcites →https://doi.org/10.1007/s00366-004-0296-0openalex-snapshot
MOAB-SD: integrated structured and unstructured mesh representation
inferredcites →https://doi.org/10.1007/s00366-006-0015-0openalex-snapshot
A comparison of two optimization methods for mesh quality improvement
inferredcites →https://doi.org/10.1007/s00366-011-0232-zopenalex-snapshot
Automatic unstructured all-hexahedral mesh generation from B-Reps for non-manifold CAD assemblies
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The receding front method applied to hexahedral mesh generation of exterior domains
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A parallel log-barrier method for mesh quality improvement and untangling
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Topological operations for editing the singularity on a hex mesh
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A hexahedral-dominant FE meshing technique using trimmed hexahedral elements preserving sharp edges and corners
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Hexahedral mesh adaptation based on posterior-error estimation
inferredcites →https://doi.org/10.1007/s003660050016openalex-snapshot
BMSweep: Locating Interior Nodes During Sweeping
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Hexahedral Mesh Generation using the Embedded Voronoi Graph
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Reliable Whisker Weaving via Curve Contraction
inferredcites →https://doi.org/10.1007/s003660170006openalex-snapshot
Hexahedral and Tetrahedral Mesh Untangling
inferredcites →https://doi.org/10.1007/s003660200016openalex-snapshot
Flipping Cubical Meshes
inferredcites →https://doi.org/10.1007/s003660200019openalex-snapshot
HEXHOOP: Modular Templates for Converting a Hex-Dominant Mesh to an ALL-Hex Mesh
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A lightweight approach to repairing digitized polygon meshes
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Efficiently Hex-Meshing Things with Topology
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The role of mesh quality and mesh quality indicators in the virtual element method
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Measuring geometrical quality of different 3D linear element types
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Inversion-free geometric mapping construction: A survey
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On the invertibility of the isoparametric map
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Hexahedral meshing using midpoint subdivision and integer programming
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Automatic generation of hexahedral finite element meshes
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FEView: An interactive visualization tool for finite elements
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Two- and three-dimensional remeshing, mesh refinement and application to simulation of micromechanical processes
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Using a computational domain and a three-stage node location procedure for multi-sweeping algorithms
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A consistent octree hanging node elimination algorithm for hexahedral mesh generation
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Simultaneous untangling and smoothing of quadrilateral and hexahedral meshes using an object-oriented framework
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Hexahedral mesh development of free-formed geometry: The human femur exemplified
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Feature-preserving T-mesh construction using skeleton-based polycubes
inferredcites →https://doi.org/10.1016/j.cad.2015.05.004openalex-snapshot
Quality guaranteed all-hex mesh generation by a constrained volume iterative fitting algorithm
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Smoothness driven frame field generation for hexahedral meshing
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A B-spline based framework for volumetric object modeling
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Sheet operation based block decomposition of solid models for hex meshing
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A template-based approach for parallel hexahedral two-refinement
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Explicit cylindrical maps for general tubular shapes
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Fuzzy clustering based pseudo-swept volume decomposition for hexahedral meshing
inferredcites →https://doi.org/10.1016/j.cad.2017.11.007openalex-snapshot
Hex mesh topological improvement based on frame field and sheet adjustment
inferredcites →https://doi.org/10.1016/j.cad.2018.04.012openalex-snapshot
Hex-dominant meshing: Mind the gap!
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Identifying combinations of tetrahedra into hexahedra: A vertex based strategy
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HexaLab.net: An online viewer for hexahedral meshes
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Optimizing Micro-Tiles in Micro-Structures as a Design Paradigm
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A 44-element mesh of Schneiders’ pyramid: Bounding the difficulty of hex-meshing problems
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Efficient piecewise higher-order parametrization of discrete surfaces with local and global injectivity
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Singularity Structure Simplification of Hexahedral Meshes via Weighted Ranking
inferredcites →https://doi.org/10.1016/j.cad.2021.103081openalex-snapshot
Designing 2D and 3D Non-Orthogonal Frame Fields
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Robust Quantization for Polycube Maps
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An approach to achieving optimized complex sheet inflation under constraints
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Hexahedral mesh quality improvement via edge-angle optimization
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Optimal base complexes for quadrilateral meshes
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Intrinsic mixed-integer polycubes for hexahedral meshing
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Stability analysis of high order methods for the wave equation
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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
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Adaptive and quality quadrilateral/hexahedral meshing from volumetric data
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Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow
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Centroidal Voronoi tessellation based polycube construction for adaptive all-hexahedral mesh generation
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Quadrilateral and hexahedral mesh generation based on surface foliation theory
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Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis
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Constructing volumetric parameterization based on directed graph simplification of ℓ1 polycube structure from complex shapes
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Isogeometric Analysis on V-reps: First results
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Adaptive mesh coarsening for quadrilateral and hexahedral meshes
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Evaluation of user-guided semi-automatic decomposition tool for hexahedral mesh generation
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Geometrical validity of curvilinear finite elements
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GPU-accelerated discontinuous Galerkin methods on hybrid meshes
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Partial optimal transport for a constant-volume Lagrangian mesh with free boundaries
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Benchmarking the geometrical robustness of a Virtual Element Poisson solver
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LayTracks3D: A New Approach to Meshing General Solids using Medial Axis Transform
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Optimizing Mesh Distortion by Hierarchical Iteration Relocation of the Nodes on the CAD Entities
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Automatic Swept Volume Decomposition based on Sweep Directions Extraction for Hexahedral Meshing
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Common Themes in Multi-block Structured Quad/Hex Mesh Generation
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Optimizing Corner Assignment of Submap Surfaces
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On Indecomposable Polyhedra and the Number of Steiner Points
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Computing cross fields A PDE approach based on the Ginzburg-Landau theory
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Robust and efficient validation of the linear hexahedral element
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A global approach to multi-axis swept mesh generation
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Feature based hex meshing methodology: feature recognition and volume decomposition
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Automatic hexahedral mesh generation for multi-domain composite models using a hybrid projective grid-based method
inferredcites →https://doi.org/10.1016/s0010-4485(99)00040-8openalex-snapshot
A dual geometry—topology constraint approach for determination of pseudo-swept shapes as applied to hexahedral mesh generation
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All-hexahedral element meshing: Generation of the dual mesh by recurrent subdivision
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The spatial twist continuum: A connectivity based method for representing all-hexahedral finite element meshes
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Quadrilateral surface meshes without self-intersecting dual cycles for hexahedral mesh generation
inferredcites →https://doi.org/10.1016/s0925-7721(98)00032-7openalex-snapshot
Linear complexity hexahedral mesh generation
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Local topological modification of hexahedral meshes. Part I: A set of dual-based operations
inferredcites →https://doi.org/10.1051/proc:2008028openalex-snapshot
Local Topological Modification of Hexahedral Meshes Part II: Combinatorics and Relation to Boy Surface
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Finite element models of the human tongue: a mixed-element mesh approach
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Forbidden Shapes in the Finite Element Method
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Proceedings Geometric Modeling and Processing 2004
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Generalized PolyCube Trivariate Splines
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Surface Mesh to Volumetric Spline Conversion with Generalized Polycubes
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Frame Field Singularity Correctionfor Automatic Hexahedralization
inferredcites →https://doi.org/10.1109/tvcg.2015.2473835openalex-snapshot
Structured Volume Decomposition via Generalized Sweeping
inferredcites →https://doi.org/10.1109/tvcg.2018.2864827openalex-snapshot
Hexahedral Mesh Structure Visualization and Evaluation
inferredcites →https://doi.org/10.1109/tvcg.2019.2938946openalex-snapshot
Design and Optimization of Conforming Lattice Structures
inferredcites →https://doi.org/10.1109/tvcg.2021.3074607openalex-snapshot
Interactive Focus+Context Rendering for Hexahedral Mesh Inspection
inferredcites →https://doi.org/10.1109/tvcg.2021.3136199openalex-snapshot
Metric-Driven 3D Frame Field Generation
inferredcites →https://doi.org/10.1111/cgf.12014openalex-snapshot
Quad‐Mesh Generation and Processing: A Survey
inferredcites →https://doi.org/10.1111/cgf.12177openalex-snapshot
Fitting Polynomial Volumes to Surface Meshes with Voronoï Squared Distance Minimization
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Locally Injective Mappings
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State‐of‐the‐Art in Compressed GPU‐Based Direct Volume Rendering
inferredcites →https://doi.org/10.1111/cgf.12959openalex-snapshot
Polycube Simplification for Coarse Layouts of Surfaces and Volumes
inferredcites →https://doi.org/10.1111/cgf.13021openalex-snapshot
Skeleton‐driven Adaptive Hexahedral Meshing of Tubular Shapes
inferredcites →https://doi.org/10.1111/cgf.13100openalex-snapshot
Hexahedral Meshing With Varying Element Sizes
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Evaluating Hex‐mesh Quality Metrics via Correlation Analysis
inferredcites →https://doi.org/10.1111/cgf.13593openalex-snapshot
Selective Padding for Polycube‐Based Hexahedral Meshing
inferredcites →https://doi.org/10.1111/cgf.13617openalex-snapshot
Dual Sheet Meshing: An Interactive Approach to Robust Hexahedralization
inferredcites →https://doi.org/10.1111/cgf.13795openalex-snapshot
Feature Preserving Octree‐Based Hexahedral Meshing
inferredcites →https://doi.org/10.1111/cgf.13838openalex-snapshot
Computing Surface PolyCube‐Maps by Constrained Voxelization
inferredcites →https://doi.org/10.1111/cgf.13839openalex-snapshot
Polycube Shape Space
inferredcites →https://doi.org/10.1111/cgf.14074openalex-snapshot
Hexahedral Mesh Repair via Sum‐of‐Squares Relaxation
inferredcites →https://doi.org/10.1111/cgf.142632openalex-snapshot
Layout Embedding via Combinatorial Optimization
inferredcites →https://doi.org/10.1111/cgf.14470openalex-snapshot
The 3D Motorcycle Complex for Structured Volume Decomposition
inferredcites →https://doi.org/10.1111/cgf.14608openalex-snapshot
Hex Me If You Can
inferredcites →https://doi.org/10.1111/j.1467-8659.2007.01058.xopenalex-snapshot
A Finite Element Method on Convex Polyhedra
inferredcites →https://doi.org/10.1111/j.1467-8659.2007.01060.xopenalex-snapshot
QuadCover ‐ Surface Parameterization using Branched Coverings
inferredcites →https://doi.org/10.1111/j.1467-8659.2010.01761.xopenalex-snapshot
Trivial Connections on Discrete Surfaces
inferredcites →https://doi.org/10.1111/j.1467-8659.2011.01868.xopenalex-snapshot
Global Structure Optimization of Quadrilateral Meshes
inferredcites →https://doi.org/10.1111/j.1467-8659.2011.02014.xopenalex-snapshot
C ube C over – Parameterization of 3D Volumes
inferredcites →https://doi.org/10.1111/j.1467-8659.2011.02015.xopenalex-snapshot
All‐Hex Mesh Generation via Volumetric PolyCube Deformation
inferredcites →https://doi.org/10.1115/1.2052848openalex-snapshot
Conformal Refinement and Coarsening of Unstructured Hexahedral Meshes
inferredcites →https://doi.org/10.1121/1.3204306openalex-snapshot
A biomechanical model of cardinal vowel production: Muscle activations and the impact of gravity on tongue positioning
inferredcites →https://doi.org/10.1137/130914000openalex-snapshot
Efficient Mesh Optimization Using the Gradient Flow of the Mean Volume
inferredcites →https://doi.org/10.1137/17m1142703openalex-snapshot
An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg--Landau Theory
inferredcites →https://doi.org/10.1137/19m1287857openalex-snapshot
A Variational Method for Generating $n$-Cross Fields Using Higher-Order $Q$-Tensors
inferredcites →https://doi.org/10.1137/s0036144599352836openalex-snapshot
Centroidal Voronoi Tessellations: Applications and Algorithms
inferredcites →https://doi.org/10.1137/s1064827500371499openalex-snapshot
Algebraic Mesh Quality Metrics
inferredcites →https://doi.org/10.1142/s021820251440003xopenalex-snapshot
The Hitchhiker's Guide to the Virtual Element Method
inferredcites →https://doi.org/10.1142/s0218202522500099openalex-snapshot
Analysis-aware defeaturing: Problem setting and a posteriori estimation
inferredcites →https://doi.org/10.1145/1015706.1015810openalex-snapshot
PolyCube-Maps
inferredcites →https://doi.org/10.1145/1141911.1141993openalex-snapshot
Spectral surface quadrangulation
inferredcites →https://doi.org/10.1145/1409060.1409101openalex-snapshot
Quadrilateral mesh simplification
inferredcites →https://doi.org/10.1145/142675.142720openalex-snapshot
Quality mesh generation in three dimensions
inferredcites →https://doi.org/10.1145/1508044.1508091openalex-snapshot
Mesh parameterization
inferredcites →https://doi.org/10.1145/1531326.1531383openalex-snapshot
Mixed-integer quadrangulation
inferredcites →https://doi.org/10.1145/1653771.1653865openalex-snapshot
CGAL
inferredcites →https://doi.org/10.1145/1778765.1778856openalex-snapshot
L p Centroidal Voronoi Tessellation and its applications
inferredcites →https://doi.org/10.1145/2010324.1964999openalex-snapshot
Spin transformations of discrete surfaces
inferredcites →https://doi.org/10.1145/2070781.2024175openalex-snapshot
Connectivity editing for quadrilateral meshes
inferredcites →https://doi.org/10.1145/2070781.2024176openalex-snapshot
Simple quad domains for field aligned mesh parametrization
inferredcites →https://doi.org/10.1145/2070781.2024177openalex-snapshot
Boundary aligned smooth 3D cross-frame field
inferredcites →https://doi.org/10.1145/2185520.2185606openalex-snapshot
Dual loops meshing
inferredcites →https://doi.org/10.1145/2366145.2366196openalex-snapshot
All-hex meshing using singularity-restricted field
inferredcites →https://doi.org/10.1145/237170.237271openalex-snapshot
Automatic reconstruction of B-spline surfaces of arbitrary topological type
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What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Fluid Flow-inspired Curvature-aware Print-paths from Hexahedral Meshes for Additive Manufacturing
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Reinforcement learning based automatic block decomposition of solid models for hexahedral meshing
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High-connectivity polycube-maps: Solvable space expansion through validity-augmented topological conditions
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Conditioned Numerical Shape Functions on Unfitted Reduced Coarse Elements for Robust Analysis of Complex Solid Structures
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HexOpt: Efficient and robust hexahedral mesh optimization using Rectified Hybrid Quadratic Jacobian and geometry-aware mapping
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Topology modification based rezoning strategies for the arbitrary Lagrangian-Eulerian method on unstructured hexahedral meshes
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Global Parametrization Algorithms for Quadmeshing
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