Paper Citation Record · LEDGER

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:1907.00523.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1907.00523 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T11:53:17.829428Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:25:20.306265Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T16:25:20.340283Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy29
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 50a87ee5-b1eb-48f5-9ffb-7e974002b0e2 · outbound

This paper cites Spatial Tessellations: Concept and Applications of Voronoi Diagrams.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Spatial Tessellations: Concept and Applications of Voronoi Diagrams

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.945308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3c6e6e76-1050-4abc-b8d8-34ab1532cb3c · outbound

This paper cites On the construction of the voronoi mesh on a sphere.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications On the construction of the voronoi mesh on a sphere

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.895654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 737cd394-c4f4-4ded-b697-eac6fc748e7f · outbound

This paper cites Construction of voronoi diagram on the upper half-plane.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Construction of voronoi diagram on the upper half-plane

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.891931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 905387b4-3c29-46f6-9b29-e1b402a5c7da · outbound

This paper cites Delaunay triangulations and voronoi diagrams for riemannian manifolds.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Delaunay triangulations and voronoi diagrams for riemannian manifolds

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.932428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8c6aaafa-2293-431a-8c09-894ba2ef2507 · outbound

This paper cites Sebastian Seung and Daniel D.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Sebastian Seung and Daniel D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.935447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 120ef176-a442-44f1-ac61-512a00ed1642 · outbound

This paper cites An introduction to differentiable manifolds and Riemannian geometry.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications An introduction to differentiable manifolds and Riemannian geometry

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.938298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6bc26646-ad21-40b8-ad38-b18daa84cc4b · outbound

This paper cites The discrete geodesic problem.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications The discrete geodesic problem

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.941435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 415531e2-1a00-422c-874b-bf71e0dfa9b0 · outbound

This paper cites Centroidal voronoi tessellations: Applications and algorithms.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Centroidal voronoi tessellations: Applications and algorithms

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.949339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7b5699ed-192a-4f79-b09f-d5b394278d14 · outbound

This paper cites an unresolved cited work.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-25T11:55:46.928526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9cbd2b0d-4cce-45aa-9e8c-4e5429ef7cf9 · outbound

This paper cites Gunzburger, and Lili Ju.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Gunzburger, and Lili Ju

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.915307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cc453948-beac-4238-b78f-b1cdbd96aa1e · outbound

This paper cites Construction of iso-contours, bisectors, and voronoi diagrams on triangulated surfaces.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Construction of iso-contours, bisectors, and voronoi diagrams on triangulated surfaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.918528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 25c9cf65-c97d-4742-87d7-82bac1611dd5 · outbound

This paper cites Intrinsic manifold SLIC: A simple and efﬁcient method for computing content-sensitive superpixels.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Intrinsic manifold SLIC: A simple and efﬁcient method for computing content-sensitive superpixels

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.925124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f7606a37-c377-4637-a1b3-0c356ce6a92d · outbound

This paper cites Ming Yu, O.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Ming Yu, O

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.902376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7a8390d4-5523-4f9e-9b8f-e944758e514f · outbound

This paper cites Optimal contour closure by superpixel grouping.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Optimal contour closure by superpixel grouping

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.898834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 563a8701-8a47-4fe2-9506-b9aabf692d62 · outbound

This paper cites Class segmentation and object localization with superpixel neighborhoods.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Class segmentation and object localization with superpixel neighborhoods

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.905683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1525f171-f31e-42b2-b813-14a1f26615fe · outbound

This paper cites Superpixel tracking.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Superpixel tracking

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.908843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3ae3bfb6-7236-4ad9-82e6-776dcb12492d · outbound

This paper cites Multi-view superpixel stereo in urban environments.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Multi-view superpixel stereo in urban environments

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.911993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0b5a2791-69f8-4086-a98f-f38525e7c6c2 · outbound

This paper cites Superpixels: An evaluation of the state-of-the-art.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Superpixels: An evaluation of the state-of-the-art

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.921613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 665f36cd-042f-4e84-8f35-8c685523aad2 · outbound

This paper cites Manifold SLIC: a fast method to compute content-sensitive superpixels.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Manifold SLIC: a fast method to compute content-sensitive superpixels

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.953032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c769e390-ddd4-411b-8ea8-cfb159ff94a9 · outbound

This paper cites Content-sensitive supervoxels via uniform tessellations on video manifolds.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Content-sensitive supervoxels via uniform tessellations on video manifolds

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.960476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 14e3f5c6-b890-462d-bff3-5ebe3fa83f33 · outbound

This paper cites Manifold differential evolution (MDE): A global optimization method for geodesic centroidal voronoi tessellations on meshes.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Manifold differential evolution (MDE): A global optimization method for geodesic centroidal voronoi tessellations on meshes

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.873262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 20faf5fe-0c7f-44a0-abe9-1f93acc9fbea · outbound

This paper cites Constructing intrinsic delaunay triangulations from the dual of geodesic voronoi diagrams.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Constructing intrinsic delaunay triangulations from the dual of geodesic voronoi diagrams

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.876987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7e4274c9-a97b-492b-804c-846c56f44724 · outbound

This paper cites The complexity of geodesic voronoi diagrams on triangulated 2-manifold surfaces.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications The complexity of geodesic voronoi diagrams on triangulated 2-manifold surfaces

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.964271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f0ed612c-7088-4b6f-8eac-30449fa5c630 · outbound

This paper cites Semi-continuity of skeletons in 2-manifold and discrete voronoi approximation.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Semi-continuity of skeletons in 2-manifold and discrete voronoi approximation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.956907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4495a671-f2c7-4227-af4e-2bee73df2652 · outbound

This paper cites an unresolved cited work.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-05-25T11:55:46.967669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 37418b7b-1ebb-4b26-94ba-a00e38e1c8c6 · outbound

This paper cites Global optimization of centroidal voronoi tessellation with monte carlo approach.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Global optimization of centroidal voronoi tessellation with monte carlo approach

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.859137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 546656f9-6c43-44a5-bd8b-9d7d994b7cf5 · outbound

This paper cites Differential evolution: A survey of the state-of-the-art.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Differential evolution: A survey of the state-of-the-art

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.862518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b06a52d2-55d0-4755-afad-fcd8acc94ee2 · outbound

This paper cites an unresolved cited work.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-25T11:55:46.865870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 32cf1c12-638a-45cc-bf35-e3475ddac388 · outbound

This paper cites Intrinsic computation of centroidal voronoi tessellation (CVT) on meshes.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Intrinsic computation of centroidal voronoi tessellation (CVT) on meshes

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.880762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4b4d6759-98b7-4ff6-bb8e-0adefef9ea3c · outbound

This paper cites Intrinsic statistics on riemannian manifolds: Basic tools for geometric measurements.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Intrinsic statistics on riemannian manifolds: Basic tools for geometric measurements

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.888575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d33de4ac-2ec9-48dc-93b8-34fdcfc5c0c8 · outbound

This paper cites Rustamov.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Rustamov

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.869621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fe659402-cf1e-4612-ae01-2daf6758569e · outbound

This paper cites Tenenbaum.

Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications Tenenbaum

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T11:55:46.884306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation ef112ed1-ebeb-4e37-a10b-3971eb5538ba · inbound

Isotropic Remeshing with Inter-Angle Optimization cites this paper.

Isotropic Remeshing with Inter-Angle Optimization Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications

Reference 28

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T16:25:20.345350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.