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Triangulating a nonconvex polytope

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-07407-4_17openalex-snapshot
Quantifier elimination for real closed fields by cylindrical algebraic decompostion
inferredcites →https://doi.org/10.1007/3-540-52048-1_49openalex-snapshot
Robust decompositions of polyhedra
inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
inferredcites →https://doi.org/10.1007/978-3-642-69900-9openalex-snapshot
Data Structures and Algorithms 3
inferredcites →https://doi.org/10.1007/bf01934990openalex-snapshot
The power of geometric duality
inferredcites →https://doi.org/10.1007/bf02187904openalex-snapshot
Nonobtuse triangulation of polygons
inferredcites →https://doi.org/10.1007/bfb0012784openalex-snapshot
The power of non-rectilinear holes
inferredcites →https://doi.org/10.1007/bfb0035760openalex-snapshot
A singly-exponential stratification scheme for real semi-algebraic varieties and its applications
inferredcites →https://doi.org/10.1016/0196-8858(83)90014-3openalex-snapshot
On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds
inferredcites →https://doi.org/10.1016/0304-3975(78)90051-8openalex-snapshot
Finding the intersection of two convex polyhedra
inferredcites →https://doi.org/10.1109/sfcs.1987.1openalex-snapshot
A new algebraic method for robot motion planning and real geometry
inferredcites →https://doi.org/10.1109/t-c.1975.224276openalex-snapshot
Decomposition of Polygons into Simpler Components: Feature Generation for Syntactic Pattern Recognition
inferredcites →https://doi.org/10.1109/tc.1978.1675001openalex-snapshot
Decomposition of Polygons into Convex Sets
inferredcites →https://doi.org/10.1137/0212002openalex-snapshot
Optimal Search in Planar Subdivisions
inferredcites →https://doi.org/10.1137/0213031openalex-snapshot
Convex Partitions of Polyhedra: A Lower Bound and Worst-Case Optimal Algorithm
inferredcites →https://doi.org/10.1137/0215023openalex-snapshot
Optimal Point Location in a Monotone Subdivision
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1137/0215069openalex-snapshot
On Approximations and Incidence in Cylindrical Algebraic Decompositions
inferredcites →https://doi.org/10.1145/10515.10542openalex-snapshot
Implementing Watson's algorithm in three dimensions
inferredcites →https://doi.org/10.1145/282918.282923openalex-snapshot
Primitives for the manipulation of general subdivisions and the computation of Voronoi
inferredcites →https://doi.org/10.1145/41958.41967openalex-snapshot
Primitives for the manipulation of three-dimensional subdivisions
inferredcites →https://doi.org/10.1145/73393.73432openalex-snapshot
Triangles in space or building (and analyzing) castles in the Air
inferredcites →https://doi.org/10.1145/73833.73875openalex-snapshot
On the difficulty of tetrahedralizing 3-dimensional non-convex polyhedra
inferredcites →https://doi.org/10.2307/1969908openalex-snapshot
Elementary Structure of Real Algebraic Varieties
inferredcites →https://doi.org/10.2514/6.1987-1124openalex-snapshot
Three dimensional mesh generation by triangulation of arbitrary point sets

What points at this work

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inferred← citeshttps://doi.org/10.1002/9780470611166.biblioopenalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1002/9781119176817.ecm2106openalex-snapshot
Isogeometric Analysis: Representation of Geometry
inferred← citeshttps://doi.org/10.1002/9781119384335.biblioopenalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1002/nme.1050openalex-snapshot
A freeform shape optimization of complex structures represented by arbitrary polygonal or polyhedral meshes
inferred← citeshttps://doi.org/10.1002/nme.3016openalex-snapshot
3D boundary recovery by constrained Delaunay tetrahedralization
inferred← citeshttps://doi.org/10.1002/nme.452openalex-snapshot
Modelling three‐dimensional piece‐wise homogeneous domains using the α‐shape‐based natural element method
inferred← citeshttps://doi.org/10.1002/nme.5752openalex-snapshot
Triangulation of simple arbitrarily shaped polyhedra by cutting off one vertex at a time
inferred← citeshttps://doi.org/10.1002/nme.808openalex-snapshot
‘Ultimate’ robustness in meshing an arbitrary polyhedron
inferred← citeshttps://doi.org/10.1002/nme.859openalex-snapshot
A new scheme for efficient and direct shape optimization of complex structures represented by polygonal meshes
inferred← citeshttps://doi.org/10.1007/3-540-30790-7_2openalex-snapshot
On the Convexification of Unstructured Grids from a Scientific Visualization Perspective
inferred← citeshttps://doi.org/10.1007/3-540-36136-7_27openalex-snapshot
Algorithms and Complexity for Tetrahedralization Detections
inferred← citeshttps://doi.org/10.1007/3-540-44634-6_36openalex-snapshot
A Decomposition-Based Approach to Layered Manufacturing
inferred← citeshttps://doi.org/10.1007/3-540-44968-x_29openalex-snapshot
Tetrahedralization of Two Nested Convex Polyhedra
inferred← citeshttps://doi.org/10.1007/3-540-45678-3_16openalex-snapshot
Approximation of Minimum Triangulation for Polyhedron with Bounded Degrees
inferred← citeshttps://doi.org/10.1007/3-540-55706-7_33openalex-snapshot
Decomposing the boundary of a nonconvex polyhedron
inferred← citeshttps://doi.org/10.1007/3-540-55706-7_34openalex-snapshot
Convex polygons made from few lines and convex decompositions of polyhedra
inferred← citeshttps://doi.org/10.1007/3-540-56402-0_38openalex-snapshot
Parallel triangulation of nonconvex polytopes
inferred← citeshttps://doi.org/10.1007/978-1-4612-2628-4_27openalex-snapshot
Decomposition Algorithms in Geometry
inferred← citeshttps://doi.org/10.1007/978-3-030-23436-2_4openalex-snapshot
A Simple Algorithm to Triangulate a Special Class of 3d Non-convex Polyhedra Without Steiner Points
inferred← citeshttps://doi.org/10.1007/978-3-319-28872-7_16openalex-snapshot
A Framework for Real-Time Multi-Contact Multi-Body Dynamic Simulation
inferred← citeshttps://doi.org/10.1007/978-3-540-87442-3_23openalex-snapshot
Optimal Accurate Minkowski Sum Approximation of Polyhedral Models
inferred← citeshttps://doi.org/10.1007/978-3-540-87473-7_23openalex-snapshot
Validation and Storage of Polyhedra through Constrained Delaunay Tetrahedralization
inferred← citeshttps://doi.org/10.1007/978-3-642-55787-3_11openalex-snapshot
Simplification of Nonconvex Tetrahedral Meshes
inferred← citeshttps://doi.org/10.1007/bf01758854openalex-snapshot
Quasi-optimal upper bounds for simplex range searching and new zone theorems
inferred← citeshttps://doi.org/10.1007/bf02187840openalex-snapshot
On the difficulty of triangulating three-dimensional Nonconvex Polyhedra
inferred← citeshttps://doi.org/10.1007/bf02523191openalex-snapshot
Decomposing the boundary of a nonconvex polyhedron
inferred← citeshttps://doi.org/10.1007/bf02570716openalex-snapshot
Bounds on the size of tetrahedralizations
inferred← citeshttps://doi.org/10.1007/bf02736253openalex-snapshot
Overview and recent advances in natural neighbour galerkin methods
inferred← citeshttps://doi.org/10.1007/bfb0035760openalex-snapshot
A singly-exponential stratification scheme for real semi-algebraic varieties and its applications
inferred← citeshttps://doi.org/10.1007/s00453-008-9219-6openalex-snapshot
Exact Minkowksi Sums of Polyhedra and Exact and Efficient Decomposition of Polyhedra into Convex Pieces
inferred← citeshttps://doi.org/10.1007/s00454-014-9624-3openalex-snapshot
Efficiently Hex-Meshing Things with Topology
inferred← citeshttps://doi.org/10.1007/s00454-016-9811-5openalex-snapshot
Straight Skeletons and Mitered Offsets of Nonconvex Polytopes
inferred← citeshttps://doi.org/10.1007/s00454-024-00632-2openalex-snapshot
Decomposing the Complement of the Union of Cubes and Boxes in Three Dimensions
inferred← citeshttps://doi.org/10.1016/0304-3975(91)90261-yopenalex-snapshot
A singly exponential stratification scheme for real semi-algebraic varieties and its applications
inferred← citeshttps://doi.org/10.1016/0925-7721(95)00011-9openalex-snapshot
Optimal tetrahedralization of the 3D-region “between” a convex polyhedron and a convex polygon
inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50020-1openalex-snapshot
Polyhedral Manifolds
inferred← citeshttps://doi.org/10.1016/b978-155860594-7/50020-5openalex-snapshot
REFERENCES
inferred← citeshttps://doi.org/10.1016/j.cad.2014.07.005openalex-snapshot
Isogeometric segmentation: The case of contractible solids without non-convex edges
inferred← citeshttps://doi.org/10.1016/j.cad.2017.11.005openalex-snapshot
On tetrahedralisations of generalised Chazelle polyhedra with interior Steiner points
inferred← citeshttps://doi.org/10.1016/j.comgeo.2005.03.001openalex-snapshot
Approximating the minimum triangulation of convex 3-polytopes with bounded degrees
inferred← citeshttps://doi.org/10.1016/j.crma.2003.12.033openalex-snapshot
Maillage simplicial d'un polyèdre arbitraire
inferred← citeshttps://doi.org/10.1016/j.finel.2009.06.017openalex-snapshot
Constrained Delaunay tetrahedral mesh generation and refinement
inferred← citeshttps://doi.org/10.1016/j.gmod.2014.03.013openalex-snapshot
Isogeometric segmentation. Part II: On the segmentability of contractible solids with non-convex edges
inferred← citeshttps://doi.org/10.1016/j.jalgor.2004.04.006openalex-snapshot
Detecting tetrahedralizations of a set of line segments
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.04.044openalex-snapshot
An iterative interface reconstruction method for PLIC in general convex grids as part of a Coupled Level Set Volume of Fluid solver
inferred← citeshttps://doi.org/10.1016/j.patcog.2005.11.022openalex-snapshot
Boundary-trimmed 3D triangular mesh segmentation based on iterative merging strategy
inferred← citeshttps://doi.org/10.1016/j.procs.2013.05.428openalex-snapshot
Domain Triangulation between Convex Polytopes
inferred← citeshttps://doi.org/10.1016/j.proeng.2016.11.013openalex-snapshot
On Tetrahedralisations of Reduced Chazelle Polyhedra with Interior Steiner Points
inferred← citeshttps://doi.org/10.1016/j.proeng.2017.09.802openalex-snapshot
A Cartesian Slab Based Multiblocking Strategy for Irregular Cylindrical Surfaces
inferred← citeshttps://doi.org/10.1016/s0022-0000(05)80059-5openalex-snapshot
Provably good mesh generation
inferred← citeshttps://doi.org/10.1016/s0045-7825(99)00030-4openalex-snapshot
Tetrahedral meshes from planar cross-sections
inferred← citeshttps://doi.org/10.1016/s0045-7949(96)00399-9openalex-snapshot
Optimization of tetrahedral meshes based on element shape measures
inferred← citeshttps://doi.org/10.1016/s0097-8493(02)00128-0openalex-snapshot
Polyhedral surface decomposition with applications
inferred← citeshttps://doi.org/10.1016/s0166-3615(99)00008-1openalex-snapshot
Tetrahedral mesh generation for solids based on alternating sum of volumes
inferred← citeshttps://doi.org/10.1016/s0168-874x(01)00051-8openalex-snapshot
3D anisotropic mesh refinement in compliance with a general metric specification
inferred← citeshttps://doi.org/10.1016/s0196-6774(03)00092-0openalex-snapshot
The complexity of finding small triangulations of convex 3-polytopes
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)86995-9openalex-snapshot
Triangulation sous contraintes en dimension quelconque
inferred← citeshttps://doi.org/10.1016/s0925-7721(01)00059-1openalex-snapshot
A decomposition-based approach to layered manufacturing☆☆A preliminary version of this paper appears in the Proceedings of the Seventh International Workshop on Algorithms and Data Structures, Providence, RI, 8–10 August 2001, LNCS 2125, pp. 389–400.
inferred← citeshttps://doi.org/10.1016/s0925-7721(96)00024-7openalex-snapshot
Strategies for polyhedral surface decomposition: An experimental study
inferred← citeshttps://doi.org/10.1016/s0925-7721(97)00024-2openalex-snapshot
Erased arrangements of lines and convex decompositions of polyhedra
inferred← citeshttps://doi.org/10.1016/s0925-7721(98)00026-1openalex-snapshot
Dynamic motion planning in low obstacle density environments
inferred← citeshttps://doi.org/10.1023/b:joco.0000038910.06360.0aopenalex-snapshot
Minimal Tetrahedralizations of a Class of Polyhedra
inferred← citeshttps://doi.org/10.1108/ec-09-2023-0617openalex-snapshot
Generation of adaptive refinement tetrahedral meshes over domains of multi-chamber partition
inferred← citeshttps://doi.org/10.1109/20.124039openalex-snapshot
Universal generation of an initial mesh for adaptive 3-D finite element method
inferred← citeshttps://doi.org/10.1109/2945.817348openalex-snapshot
Partitioning 3D surface meshes using watershed segmentation
inferred← citeshttps://doi.org/10.1109/geoinformatics.2009.5293499openalex-snapshot
AHD: The alternate hierarchical decomposition of nonconvex polytopes (generalization of a convex polytope based spatial data model)
inferred← citeshttps://doi.org/10.1109/robot.1995.525666openalex-snapshot
Fast algorithms for penetration and contact determination between non-convex polyhedral models
inferred← citeshttps://doi.org/10.1109/tase.2013.2242327openalex-snapshot
Polyhedral Assembly Partitioning With Infinite Translations or The Importance of Being Exact
inferred← citeshttps://doi.org/10.1109/tsmca.2008.2010793openalex-snapshot
Monotonic Indices Space Method and Its Application in the Capability Indices Effectiveness Analysis of a Notional Antistealth Information System
inferred← citeshttps://doi.org/10.1111/cgf.13323openalex-snapshot
Part‐Based Mesh Segmentation: A Survey
inferred← citeshttps://doi.org/10.1111/cgf.70120openalex-snapshot
Fast and Invertible Simplicial Approximation of Magnetic‐Following Interpolation for Visualizing Fusion Plasma Simulation Data
inferred← citeshttps://doi.org/10.1137/0221025openalex-snapshot
Convex Decomposition of Polyhedra and Robustness
inferred← citeshttps://doi.org/10.1137/11085949xopenalex-snapshot
Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions
inferred← citeshttps://doi.org/10.1142/s0218195912500070openalex-snapshot
SEARCHING POLYHEDRA BY ROTATING HALF-PLANES
inferred← citeshttps://doi.org/10.1142/s0218195914500034openalex-snapshot
TOPOLOGY-PRESERVING WATERMARKING OF VECTOR GRAPHICS
inferred← citeshttps://doi.org/10.1145/109648.109689openalex-snapshot
Triangulation and CSG representation of polyhedra with arbitrary genus
inferred← citeshttps://doi.org/10.1145/142675.142720openalex-snapshot
Quality mesh generation in three dimensions
inferred← citeshttps://doi.org/10.1145/1477862.1477889openalex-snapshot
Haptic rendering of complex objects via directional sampling
inferred← citeshttps://doi.org/10.1145/160985.161174openalex-snapshot
Implementation of a motion planning system in three dimensions
inferred← citeshttps://doi.org/10.1145/220279.220311openalex-snapshot
Strategies for polyhedral surface decomposition
inferred← citeshttps://doi.org/10.1145/2462356.2462403openalex-snapshot
Efficiently hex-meshing things with topology
inferred← citeshttps://doi.org/10.1145/2629697openalex-snapshot
TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
inferred← citeshttps://doi.org/10.1145/3414685.3417776openalex-snapshot
Conforming weighted delaunay triangulations
inferred← citeshttps://doi.org/10.1145/73833.73875openalex-snapshot
On the difficulty of tetrahedralizing 3-dimensional non-convex polyhedra
inferred← citeshttps://doi.org/10.1145/98524.98532openalex-snapshot
Quasi-optimal upper bounds for simplex range searching and new zone theorems
inferred← citeshttps://doi.org/10.1201/b11644-11openalex-snapshot
Unstructured Mesh Generation
inferred← citeshttps://doi.org/10.1201/b12987-17openalex-snapshot
Meshing piecewise smooth complexes
inferred← citeshttps://doi.org/10.24108/mathm.0118.0000098openalex-snapshot
Path Planning Methods in an Environment with Obstacles (A Review)
inferred← citeshttps://doi.org/10.31390/gradschool_dissertations.4930openalex-snapshot
Geometric Problems in Robot Exploration
inferred← citeshttps://doi.org/10.3724/sp.j.1001.2008.01766openalex-snapshot
Convex Decomposition of Polyhedrons Using Occlusion Relations Among Edges/Facets
inferred← citeshttps://doi.org/10.4236/ajor.2014.41004openalex-snapshot
Monotonic Vector Space Model (Ⅰ): Concepts and Operations
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