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A recursive sweep-plane algorithm, determining all cells of a finite division of Rd

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What this work says

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

inferredcites →https://doi.org/10.1007/bf02992825openalex-snapshot
Erweiterter Polyedersatz und Euler-Shephardsche Additionstheoreme
inferredcites →https://doi.org/10.1007/bf03323348openalex-snapshot
Zur Eulerschen Charakteristik allgemeiner, insbesondere konvexer Polyeder
inferredcites →https://doi.org/10.1080/0025570x.1978.11976715openalex-snapshot
Simple Partitions of Space
inferredcites →https://doi.org/10.1080/0025570x.1978.11976718openalex-snapshot
Platonic Divisions of Space
inferredcites →https://doi.org/10.1109/sfcs.1975.8openalex-snapshot
Closest-point problems
inferredcites →https://doi.org/10.1109/sfcs.1976.16openalex-snapshot
Geometric intersection problems
inferredcites →https://doi.org/10.1109/tc.1979.1675432openalex-snapshot
Algorithms for Reporting and Counting Geometric Intersections
inferredcites →https://doi.org/10.1112/s0025579300005581openalex-snapshot
On the Euler characteristic of spherical polyhedra and the Euler relation
inferredcites →https://doi.org/10.1145/358656.358681openalex-snapshot
Plane-sweep algorithms for intersecting geometric figures
inferredcites →https://doi.org/10.1515/crll.1955.194.101openalex-snapshot
Eulers Charakteristik und kombinatorische Geometrie.
inferredcites →https://doi.org/10.5169/seals-26035openalex-snapshot
Eine Schnittrekursion für die Eulersche Charakteristik euklidischer Polyeder mit Anwendungen innerhalb der kombinatorischen Geometrie
inferredcites →https://doi.org/10.5951/mt.59.8.0722openalex-snapshot
A Mathematician's Progress

What points at this work

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

inferred← citeshttps://doi.org/10.1006/cviu.1999.0791openalex-snapshot
The Euler Characteristics of Discrete Objects and Discrete Quasi-Objects
inferred← citeshttps://doi.org/10.1007/3-540-50335-8_28openalex-snapshot
Elementary set operations with d-dimensional polyhedra
inferred← citeshttps://doi.org/10.1007/978-3-642-70284-6_3openalex-snapshot
Applying Relational Database Techniques to Solid Modeling
inferred← citeshttps://doi.org/10.1007/978-3-642-71388-0_35openalex-snapshot
Wechselwirkung Zwischen der Computergrafik und der Theorie der Polyeder
inferred← citeshttps://doi.org/10.1007/bf00271644openalex-snapshot
Space sweep solves intersection of convex polyhedra
inferred← citeshttps://doi.org/10.1007/bf02251831openalex-snapshot
A sweep-plane algorithm for computing the Euler-characteristic of polyhedra represented in Boolean form
inferred← citeshttps://doi.org/10.1007/bfb0024838openalex-snapshot
The Euler characteristic of discrete object
inferred← citeshttps://doi.org/10.1007/s12532-024-00266-8openalex-snapshot
On the B-differential of the componentwise minimum of two affine vector functions
inferred← citeshttps://doi.org/10.1016/0010-4485(86)90094-1openalex-snapshot
Applying relational database techniques to solid modelling
inferred← citeshttps://doi.org/10.1016/0012-365x(81)90002-9openalex-snapshot
Arrangements of planes in space
inferred← citeshttps://doi.org/10.1016/0012-365x(83)90186-3openalex-snapshot
Arrangements of planes in space
inferred← citeshttps://doi.org/10.1016/0012-365x(94)00380-2openalex-snapshot
Shadow-boundaries of convex bodies
inferred← citeshttps://doi.org/10.1016/0024-3795(83)80008-1openalex-snapshot
A sweep-plane algorithm for computing the volume of polyhedra represented in boolean form
inferred← citeshttps://doi.org/10.1016/j.patrec.2020.04.015openalex-snapshot
Decomposition and construction of higher-dimensional neighbourhood operations
inferred← citeshttps://doi.org/10.1016/s0734-189x(84)80019-5openalex-snapshot
Algorithms for the euler characteristic and related additive functionals of digital objects
inferred← citeshttps://doi.org/10.1016/s0747-7171(08)80162-9openalex-snapshot
Computing a sweeping-plane in regular (“general”) position: a numerical and a symbolic solution
inferred← citeshttps://doi.org/10.1090/s0025-5718-98-01004-7openalex-snapshot
A sweep-plane algorithm for generating random tuples in simple polytopes
inferred← citeshttps://doi.org/10.1109/12.67328openalex-snapshot
Minimum spanning trees of moving points in the plane
inferred← citeshttps://doi.org/10.1109/pacrim.1993.407230openalex-snapshot
Disjunctive constraint satisfaction over reals
inferred← citeshttps://doi.org/10.1109/sfcs.1983.11openalex-snapshot
Constructing arrangements of lines and hyperplanes with applications
inferred← citeshttps://doi.org/10.1109/tc.1984.1676388openalex-snapshot
Computational Geometry—A Survey
inferred← citeshttps://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferred← citeshttps://doi.org/10.5802/acirm.67openalex-snapshot
Curvature and Flow in Digital Space
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