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Visibility with Multiple Reflections

https://doi.org/10.1007/pl00009378
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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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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/bf01840360openalex-snapshot
Linear-time algorithms for visibility and shortest path problems inside triangulated simple polygons
inferredcites →https://doi.org/10.1007/bf02187784openalex-snapshot
The complexity and construction of many faces in arrangements of lines and of segments
inferredcites →https://doi.org/10.1007/bf02187913openalex-snapshot
Computing the link center of a simple polygon
inferredcites →https://doi.org/10.1007/bf02574009openalex-snapshot
Computability and complexity of ray tracing
inferredcites →https://doi.org/10.1007/bfb0028976openalex-snapshot
An O(n log n) algorithm for computing a link center in a simple polygon
inferredcites →https://doi.org/10.1007/bfb0029813openalex-snapshot
Ray Shooting, Depth Orders and Hidden Surface Removal
inferredcites →https://doi.org/10.1007/pl00009368openalex-snapshot
Visibility with One Reflection
inferredcites →https://doi.org/10.1016/0010-4485(88)90162-5openalex-snapshot
Linear time algorithms for visibility and shortest path problems inside triangulated simple polygons
inferredcites →https://doi.org/10.1016/0167-2789(86)90062-xopenalex-snapshot
Billiards in polygons
inferredcites →https://doi.org/10.1016/0196-6774(81)90019-5openalex-snapshot
A linear algorithm for computing the visibility polygon from a point
inferredcites →https://doi.org/10.1016/s0002-9394(14)77324-6openalex-snapshot
Opticks: or a treatise of the reflections, refractions, inflections and colours of light.
inferredcites →https://doi.org/10.1016/s0925-7721(97)00021-7openalex-snapshot
Visibility with multiple diffuse reflections
inferredcites →https://doi.org/10.1063/1.4823371openalex-snapshot
Computational Geometry in C
inferredcites →https://doi.org/10.1080/00029890.1969.12000169openalex-snapshot
Is Every Polygonal Region Illuminable From Some Point?
inferredcites →https://doi.org/10.1080/00029890.1995.12004679openalex-snapshot
Polygonal Rooms Not Illuminable from Every Point
inferredcites →https://doi.org/10.1090/mmono/089openalex-snapshot
Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts
inferredcites →https://doi.org/10.1109/70.88124openalex-snapshot
On some link distance problems in a simple polygon
inferredcites →https://doi.org/10.1109/tc.1979.1675432openalex-snapshot
Algorithms for Reporting and Counting Geometric Intersections
inferredcites →https://doi.org/10.1145/147508.147511openalex-snapshot
An optimal algorithm for intersecting line segments in the plane
inferredcites →https://doi.org/10.1145/41958.41959openalex-snapshot
Computing the link center of a simple polygon
inferredcites →https://doi.org/10.1145/73833.73841openalex-snapshot
An efficient algorithm for link-distance problems
inferredcites →https://doi.org/10.1201/9781420035315-27openalex-snapshot
Shortest Paths and Networks
inferredcites →https://doi.org/10.1201/9781420035315-37openalex-snapshot
Ray Shooting and Lines in Space
inferredcites →https://doi.org/10.1201/9781420035315.ch27openalex-snapshot
Shortest Paths and Networks
inferredcites →https://doi.org/10.1201/9781420035315.ch37openalex-snapshot
Ray Shooting and Lines in Space
inferredcites →https://doi.org/10.1214/aop/1176995475openalex-snapshot
Billiards in Polygons
inferredcites →https://doi.org/10.1215/s0012-7094-49-01613-0openalex-snapshot
Some properties of L-sets in the plane
inferredcites →https://doi.org/10.2307/1971280openalex-snapshot
Ergodicity of Billiard Flows and Quadratic Differentials
inferredcites →https://doi.org/10.2307/2324140openalex-snapshot
Old and New Unsolved Problems in Plane Geometry and Number Theory.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/11682462_13openalex-snapshot
The Complexity of Diffuse Reflections in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-3-642-00202-1_5openalex-snapshot
Algorithms for Computing Diffuse Reflection Paths in Polygons
inferred← citeshttps://doi.org/10.1007/pl00009368openalex-snapshot
Visibility with One Reflection
inferred← citeshttps://doi.org/10.1007/s00022-004-1726-2openalex-snapshot
A linear worst-case lower bound on the number of holes inside regions visible due to multiple diffuse reflections
inferred← citeshttps://doi.org/10.1007/s00371-011-0670-zopenalex-snapshot
Algorithms for computing diffuse reflection paths in polygons
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50020-6openalex-snapshot
Visibility in the Plane
inferred← citeshttps://doi.org/10.1016/j.dam.2012.12.020openalex-snapshot
Diffuse reflection diameter and radius for convex-quadrilateralizable polygons
inferred← citeshttps://doi.org/10.1016/j.dam.2015.04.025openalex-snapshot
Diffuse reflection diameter in simple polygons
inferred← citeshttps://doi.org/10.1016/j.endm.2013.10.054openalex-snapshot
Diffuse Reflections in Simple Polygons
inferred← citeshttps://doi.org/10.1016/j.tcs.2019.02.011openalex-snapshot
Visibility extension via mirror-edges to cover invisible segments
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115083openalex-snapshot
Visibility extension via reflection
inferred← citeshttps://doi.org/10.1109/mmar55195.2022.9874340openalex-snapshot
Bouncing Robots in Rectilinear Polygons
inferred← citeshttps://doi.org/10.1109/romoco60539.2024.10604334openalex-snapshot
Systematic Escape Using Billiard Moves
inferred← citeshttps://doi.org/10.1177/0278364921992788openalex-snapshot
A visibility-based approach to computing non-deterministic bouncing strategies
inferred← citeshttps://doi.org/10.20382/jocg.v8i2a5openalex-snapshot
On the Complexity of Minimum-Link Path Problems
inferred← citeshttps://doi.org/10.48550/arxiv.2108.10940openalex-snapshot
Art Gallery Plus Single Specular-reflection
inferred← citeshttps://doi.org/10.48550/arxiv.2112.01104openalex-snapshot
A Constant-Factor Approximation Algorithm for Point Guarding an Art Gallery
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0306010openalex-snapshot
On multiple connectedness of regions visible due to multiple diffuse reflections
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