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A sweep-plane algorithm for computing the Euler-characteristic of polyhedra represented in Boolean form

https://doi.org/10.1007/bf02251831
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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/bf00147405openalex-snapshot
The Euler characteristic and related functionals on convex surfaces
inferredcites →https://doi.org/10.1007/bf01418228openalex-snapshot
On the Euler characteristic in spaces with a separability property
inferredcites →https://doi.org/10.1007/bf01420497openalex-snapshot
Eulersche Charakteristik, Projektionen und Querma�integrale
inferredcites →https://doi.org/10.1007/bf01564848openalex-snapshot
Zur Einführung der Eulerschen Charakteristik
inferredcites →https://doi.org/10.1007/bf02241747openalex-snapshot
A recursive sweep-plane algorithm, determining all cells of a finite division of Rd
inferredcites →https://doi.org/10.1007/bf02566113openalex-snapshot
Über einige Invarianzeigenschaften der Eulerschen Charakteristik
inferredcites →https://doi.org/10.1007/bf02992458openalex-snapshot
Mengenalgebra und Eulersche Charakteristik
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/10.1007/springerreference_5343openalex-snapshot
Computational geometry
inferredcites →https://doi.org/10.1016/0024-3795(83)80008-1openalex-snapshot
A sweep-plane algorithm for computing the volume of polyhedra represented in boolean form
inferredcites →https://doi.org/10.1016/0097-3165(74)90099-5openalex-snapshot
On polyhedra with extremal Euler characteristic
inferredcites →https://doi.org/10.1080/00029890.1963.11990054openalex-snapshot
The Euler Characteristic in Combinatorial Geometry
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.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/10.2140/pjm.1978.75.397openalex-snapshot
On the extension of additive functionals on classes of convex sets
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/10.1007/3-540-54891-2_3openalex-snapshot
An on-line algorithm for constructing sweep planes in regular position
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/10.1007/978-3-642-78291-6_1openalex-snapshot
Through the Cracks of the Solid Modeling Milestone
inferred← citeshttps://doi.org/10.1007/978-3-7091-7584-2_3openalex-snapshot
Nef Polyhedra: A Brief Introduction
inferred← citeshttps://doi.org/10.1007/bfb0024838openalex-snapshot
The Euler characteristic of discrete object
inferred← citeshttps://doi.org/10.1016/0734-189x(87)90059-4openalex-snapshot
Computing the Euler characteristic and related additive functionals of digital objects from their bintree representation
inferred← citeshttps://doi.org/10.1016/1049-9652(91)90003-3openalex-snapshot
Winding and Euler numbers for 2D and 3D digital images
inferred← citeshttps://doi.org/10.1016/s0734-189x(86)80059-7openalex-snapshot
Picture processing: 1985
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/10.1175/2010jhm1298.1openalex-snapshot
Geometrical Characterization of Precipitation Patterns
inferred← citeshttps://doi.org/10.5802/acirm.67openalex-snapshot
Curvature and Flow in Digital Space
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