Paper Citation Record · LEDGER

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints

As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.12142.

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

pith.paper-citation-record.v1
2608.12142 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:23:49.249967Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy28
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00136be3-9ab3-472f-9250-5aa5c0a34adc · outbound

This paper cites A topological hierarchy for functions on triangulated sur- faces.IEEE Transactions on Visualization and Computer Graphics, 10(4):385–396, 2004.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints A topological hierarchy for functions on triangulated sur- faces.IEEE Transactions on Visualization and Computer Graphics, 10(4):385–396, 2004

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.573144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dc6be349-63d1-4b42-8ed5-c1d8aff9cdc1 · outbound

This paper cites Fast Poisson disk sampling in arbitrary dimensions.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Fast Poisson disk sampling in arbitrary dimensions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.440324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 479cbb5d-e4a8-435a-b4d7-7ca96ff9b113 · outbound

This paper cites an unresolved cited work.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:23:51.426023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ef3e845-266e-48cd-9165-b59a00844f17 · outbound

This paper cites CRC Press Boca Raton, 2013.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints CRC Press Boca Raton, 2013

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.413324Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 191271f3-06f6-4db2-9f53-9d7820331854 · outbound

This paper cites Guaranteed-quality triangular meshes.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Guaranteed-quality triangular meshes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.399320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation df84ff82-9f11-44d0-8967-5b11b03fda7e · outbound

This paper cites Stability of persistence diagrams.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Stability of persistence diagrams

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.385541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c8eeef73-e95e-4012-996c-c4ef32d28b1b · outbound

This paper cites Morse complexes for shape segmentation and homological analysis: discrete models and algorithms.Computer Graphics Forum, 34(2):761–785, 2015.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Morse complexes for shape segmentation and homological analysis: discrete models and algorithms.Computer Graphics Forum, 34(2):761–785, 2015

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.372125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 11e3796a-60b3-422f-af6d-2a47a8c8fe75 · outbound

This paper cites From data to functa: Your data point is a function and you can treat it like one.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints From data to functa: Your data point is a function and you can treat it like one

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T00:23:48.404966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bddd0817-7bea-4a50-95ad-2b46d6c67b72 · outbound

This paper cites American Mathematical Soc., 2010.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints American Mathematical Soc., 2010

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.245267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6676a7c7-650d-4653-8567-2cf6d6707420 · outbound

This paper cites Hierarchical Morse complexes for piecewise linear 2-manifolds.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Hierarchical Morse complexes for piecewise linear 2-manifolds

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.140124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a81efc62-f95b-4aa3-b307-b99ce4f377ff · outbound

This paper cites ImplicitTerrain: a con- tinuous surface model for terrain data analysis.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints ImplicitTerrain: a con- tinuous surface model for terrain data analysis

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.124085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8726e5af-019c-495f-9932-9228d2786bfa · outbound

This paper cites A practical approach to Morse-Smale complex computation: Scalability and generality.IEEE Transactions on Visualization and Computer Graphics, 14(6):1619–1626, 2008.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints A practical approach to Morse-Smale complex computation: Scalability and generality.IEEE Transactions on Visualization and Computer Graphics, 14(6):1619–1626, 2008

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.109774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0162941e-0f15-4098-abf1-1c5b0cedf0e9 · outbound

This paper cites Shared- memory parallel computation of Morse-Smale complexes with im- proved accuracy.IEEE Transactions on Visualization and Computer Graphics, 25(1), 2019.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Shared- memory parallel computation of Morse-Smale complexes with im- proved accuracy.IEEE Transactions on Visualization and Computer Graphics, 25(1), 2019

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:51.096009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 204fe2e8-c0e6-4fe3-8143-a32380abc096 · outbound

This paper cites an unresolved cited work.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:23:50.958125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5f8ac8a5-49a4-4281-aa03-f0613acb439b · outbound

This paper cites DCINR: A divide-and-conquer implicit neural representation for compressing time-varying volumetric data in hours.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints DCINR: A divide-and-conquer implicit neural representation for compressing time-varying volumetric data in hours

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.944626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4b1b4f6d-7a50-47bd-8805-895fbe0f5c96 · outbound

This paper cites Revisiting accu- rate geometry for Morse-Smale complexes.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Revisiting accu- rate geometry for Morse-Smale complexes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.833604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6d640e15-c747-4aad-95f1-f7abea897a85 · outbound

This paper cites an unresolved cited work.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:23:50.806648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4e290781-9ed2-4164-b766-64304127f81c · outbound

This paper cites an unresolved cited work.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:23:50.792328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 557dd303-ebe0-4b5f-8ff3-ab3673ae383e · outbound

This paper cites Extracting complex topology from multivariate functional approxima- tion: Contours, Jacobi sets, and ridge-valley graphs.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Extracting complex topology from multivariate functional approxima- tion: Contours, Jacobi sets, and ridge-valley graphs

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.730946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dfc47006-2f3b-4e9c-a3ae-dd99d389bc44 · outbound

This paper cites Critical Point Extraction from Multivariate Functional Approxima- tion.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Critical Point Extraction from Multivariate Functional Approxima- tion

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.540181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 62938328-03da-41c4-b1ae-383e5b31df8b · outbound

This paper cites Parallel computation of piecewise linear Morse-Smale segmentations.IEEE Transactions on Visualiza- tion and Computer Graphics, 30(4):1942–1955, 2023.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Parallel computation of piecewise linear Morse-Smale segmentations.IEEE Transactions on Visualiza- tion and Computer Graphics, 30(4):1942–1955, 2023

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.525509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81d0a6ec-a9be-4f21-aa1c-0d11d0d80086 · outbound

This paper cites NeRF: Representing scenes as neural radiance fields for view synthesis.Communications of the ACM, 65(1):99–106, 2021.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints NeRF: Representing scenes as neural radiance fields for view synthesis.Communications of the ACM, 65(1):99–106, 2021

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.508749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6b04a33a-acca-454e-b5fb-c3661039a911 · outbound

This paper cites Implicit neural representation in medical imaging: A comparative survey.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Implicit neural representation in medical imaging: A comparative survey

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.283464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ebfc8c9b-f4e2-4d04-9ead-c0c8619304be · outbound

This paper cites Foundations of multivariate functional approximation for scientific data.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Foundations of multivariate functional approximation for scientific data

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.269810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation beee1924-dfba-4d71-bfb9-cac2cfddaee0 · outbound

This paper cites 2D conforming triangulations and meshes.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints 2D conforming triangulations and meshes

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:50.256127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 42b70b61-b64a-4bd9-8dcb-11b9d3c1865d · outbound

This paper cites an unresolved cited work.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:23:50.119316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 88477498-1455-413c-ac3c-498fe14bb76a · outbound

This paper cites Parallel computation of 2D Morse-Smale complexes.IEEE Transactions on Visualization and Computer Graphics, 18(10):1757–1770, 2011.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Parallel computation of 2D Morse-Smale complexes.IEEE Transactions on Visualization and Computer Graphics, 18(10):1757–1770, 2011

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.980918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7de0e12a-dafb-4b32-9ee5-9dc41a355301 · outbound

This paper cites Implicit neural representations with periodic activation functions.Advances in neural information processing sys- tems, 33:7462–7473, 2020.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Implicit neural representations with periodic activation functions.Advances in neural information processing sys- tems, 33:7462–7473, 2020

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.964498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0ceeddc9-3437-41fd-863f-a2bfd6d6bfdf · outbound

This paper cites ECNR: Efficient Compressive Neural Representation of Time-Varying Volumetric Datasets.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints ECNR: Efficient Compressive Neural Representation of Time-Varying Volumetric Datasets

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T00:23:49.093097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0b79f34-ada2-472f-83f5-c8ca20ea4676 · outbound

This paper cites Fast neural representations for direct volume rendering.Computer Graph- ics Forum, 41(6):196–211, 2022.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Fast neural representations for direct volume rendering.Computer Graph- ics Forum, 41(6):196–211, 2022

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.817362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f1f11319-3e9d-44c5-91b9-57640b5d8874 · outbound

This paper cites Distributed path compression for piecewise linear Morse-Smale seg- mentations and connected components.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Distributed path compression for piecewise linear Morse-Smale seg- mentations and connected components

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.722840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cebd07e0-2047-4233-9d7a-cb492f890e76 · outbound

This paper cites Interactive volume visualization via multi-resolution hash encoding based neu- ral representation.IEEE Transactions on Visualization and Computer Graphics, 30(8):5404–5418, 2023.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Interactive volume visualization via multi-resolution hash encoding based neu- ral representation.IEEE Transactions on Visualization and Computer Graphics, 30(8):5404–5418, 2023

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.583368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2c7a2e21-503f-4cc6-802e-4f79d4d0b0d4 · outbound

This paper cites Distributed neural representation for re- active in situ visualization.IEEE Transactions on Visualization and Computer Graphics, 31(9):5199–5214, 2024.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Distributed neural representation for re- active in situ visualization.IEEE Transactions on Visualization and Computer Graphics, 31(9):5199–5214, 2024

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.520020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 34980ed3-4858-4923-a4b8-9351954981a7 · outbound

This paper cites Neural fields in visual computing and beyond.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Neural fields in visual computing and beyond

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.410694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2a4ef72c-6f53-4f08-a667-873f95daf610 · outbound

This paper cites Neural implicit represen- tations for multi-view surface reconstruction: A survey.IEEE Trans- actions on Visualization and Computer Graphics, 2025.

Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints Neural implicit represen- tations for multi-view surface reconstruction: A survey.IEEE Trans- actions on Visualization and Computer Graphics, 2025

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:49.374162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

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