The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Voronoi diagrams—a survey of a fundamental geometric data structure
Abstract
This paper presents a survey of the Voronoi diagram, one of the most fundamental data structures in computational geometry. It demonstrates the importance and usefulness of the Voronoi diagram in a wide variety of fields inside and outside computer science and surveys the history of its development. The paper puts particular emphasis on the unified exposition of its mathematical and algorithmic properties. Finally, the paper provides the first comprehensive bibliography on Voronoi diagrams and related structures.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Generalized delaunay triangulation for planar graphs
Lee, D. T., & Lin, A. K. (1986) · Discrete & Computational Geometry · doi:10.1007/bf02187695 · Cited by 286
Cited by
(1993) · doi:10.5555/313559.313789 · Cited by 998
Procedural content generation for games: A survey
Hendrikx, M., Meijer, S., Van Der Velden, J., & Iosup, A. (2013) · ACM Transactions on Multimedia Computing, Communications, and Applications · doi:10.1145/2422956.2422957 · Cited by 558
A Survey on Quantum Channel Capacities
Gyongyosi, L., Imre, S., & Nguyen, H. V. (2018) · IEEE Communications Surveys & Tutorials · doi:10.1109/comst.2017.2786748 · Cited by 337
Robot-Accelerated Perovskite Investigation and Discovery
Li, Z., Najeeb, M. A., Alves, L., Sherman, A. Z., Shekar, V., Cruz Parrilla, P., Pendleton, I. M., Wang, W., Nega, P. W., Zeller, M., et al. (2020) · Chemistry of Materials · doi:10.1021/acs.chemmater.0c01153 · Cited by 187
vesselFM: A Foundation Model for Universal 3D Blood Vessel Segmentation
Wittmann, B., Wattenberg, Y., Amiranashvili, T., Shit, S., & Menze, B. (2025) · 2025 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr52734.2025.01944 · Cited by 25
Metadata
- Authors
- Aurenhammer, F.
- Venue
- ACM Computing Surveys
- Published
- 1991-09
- Volume
- 23
- Issue
- 3
- Pages
- 345-405
- ISSN
- 0360-0300 (ISSN-L)
- 1557-7341
- OpenAlex
- W1967005434
- Cited by
- 4,340
- References
- 1
- FWCI
- 38.64
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
