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The CGAL kernel: A basis for geometric computation

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What this work says

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

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Verifiable implementations of geometric algorithms using finite precision arithmetic
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Applied computational geometry: Towards robust solutions of basic problems
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Delaunay triangulations in three dimensions with finite precision arithmetic
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Towards exact geometric computation
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PROPERTIES OF SURFACE-NORMAL TRANSFORMATIONS
inferredcites →https://doi.org/10.1109/sfcs.1989.63524openalex-snapshot
Stable maintenance of point set triangulations in two dimensions
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Epsilon geometry: building robust algorithms from imprecise computations
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Computer graphics: principles and practice

What points at this work

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

inferred← citeshttps://doi.org/10.1002/1097-024x(200009)30:11<1167::aid-spe337>3.0.co;2-bopenalex-snapshot
On the design of CGAL a computational geometry algorithms library
inferred← citeshttps://doi.org/10.1006/jvlc.2000.0164openalex-snapshot
Interactive Collaborative Visualization Environment for Geometric Computing
inferred← citeshttps://doi.org/10.1007/3-540-36383-1_2openalex-snapshot
Visualization in Algorithm Engineering: Tools and Techniques
inferred← citeshttps://doi.org/10.1007/3-540-44688-5openalex-snapshot
Algorithm Engineering
inferred← citeshttps://doi.org/10.1007/3-540-44688-5_7openalex-snapshot
An Adaptable and Extensible Geometry Kernel
inferred← citeshttps://doi.org/10.1007/3-540-44691-5_15openalex-snapshot
Two-Dimensional Arrangements in CGAL and Adaptive Point Location for Parametric Curves
inferred← citeshttps://doi.org/10.1007/3-540-45875-1_7openalex-snapshot
GeoWin A Generic Tool for Interactive Visualization of Geometric Algorithms
inferred← citeshttps://doi.org/10.1007/3-540-48318-7_13openalex-snapshot
On-Line Zone Construction in Arrangements of Lines in the Plane
inferred← citeshttps://doi.org/10.1007/3-540-48518-x_8openalex-snapshot
Accessing the Internal Organization of Data Structures in the JDSL Library
inferred← citeshttps://doi.org/10.1007/3-540-63165-8_161openalex-snapshot
LEDA: a platform for combinatorial and geometric computing
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Precision and robustness in geometric computations
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Visualization Techniques for Algorithm Engineering
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Visualization Techniques for Algorithm Engineering
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Robustness and Randomness
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In Praise of Numerical Computation
inferred← citeshttps://doi.org/10.1007/978-3-642-15582-6_24openalex-snapshot
The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
inferred← citeshttps://doi.org/10.1007/978-3-642-60607-6_25openalex-snapshot
Contour Edge Analysis for Polyhedron Projections
inferred← citeshttps://doi.org/10.1007/bfb0014474openalex-snapshot
Applied Computational Geometry Towards Geometric Engineering
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Geometric algorithm visualization, current status and future
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FIST: Fast Industrial-Strength Triangulation of Polygons
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50015-2openalex-snapshot
Robustness and Precision Issues in Geometric Computation**Work on this survey was partially supported by the ESPRIT IV Long Term Research Project No. 21957 (CGAL).
inferred← citeshttps://doi.org/10.1016/j.cad.2004.01.004openalex-snapshot
Fast swept volume approximation of complex polyhedral models
inferred← citeshttps://doi.org/10.1016/j.camwa.2023.09.017openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.comgeo.2006.11.003openalex-snapshot
Almost-Delaunay simplices: Robust neighbor relations for imprecise 3D points using CGAL
inferred← citeshttps://doi.org/10.1016/j.comgeo.2006.11.004openalex-snapshot
An adaptable and extensible geometry kernel
inferred← citeshttps://doi.org/10.1016/j.jcp.2025.113773openalex-snapshot
R3MG: R-tree based agglomeration of polytopal grids with applications to multilevel methods
inferred← citeshttps://doi.org/10.1016/j.robot.2012.09.004openalex-snapshot
Autonomous landing at unprepared sites by a full-scale helicopter
inferred← citeshttps://doi.org/10.1016/j.scico.2005.06.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0010-4485(00)00054-3openalex-snapshot
Efficient and exact manipulation of algebraic points and curves
inferred← citeshttps://doi.org/10.1016/s0925-7721(98)00011-xopenalex-snapshot
A computational basis for higher-dimensional computational geometry and applications
inferred← citeshttps://doi.org/10.1016/s1571-0661(04)80378-5openalex-snapshot
Hypergeometric Functions in Exact Geometric Computation
inferred← citeshttps://doi.org/10.1021/ci900190zopenalex-snapshot
Alpha Shapes Applied to Molecular Shape Characterization Exhibit Novel Properties Compared to Established Shape Descriptors
inferred← citeshttps://doi.org/10.1109/4236.761650openalex-snapshot
GeomNet: geometric computing over the Internet
inferred← citeshttps://doi.org/10.1109/hicss.2007.139openalex-snapshot
Composable Language Extensions for Computational Geometry: A Case Study
inferred← citeshttps://doi.org/10.1109/mcg.2007.33openalex-snapshot
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inferred← citeshttps://doi.org/10.1111/1467-8659.00363openalex-snapshot
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inferred← citeshttps://doi.org/10.1145/262839.263087openalex-snapshot
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inferred← citeshttps://doi.org/10.1145/351827.384255openalex-snapshot
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inferred← citeshttps://doi.org/10.1145/3528223.3530176openalex-snapshot
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Online Assessment of Landing Sites
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Quadratic programming in geometric optimization: theory, implementation, and applications
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Contour edge analysis for polyhedron projections
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Towards robust inexact geometric computation
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