Paper Citation Record · LEDGER

Well-posedness of an optical flow based optimal control formulation for image registration

As of 23 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2507.10188.

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

pith.paper-citation-record.v1
2507.10188 v4

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:55:44.800156Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:55:44.771372Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:55:45.299329Z

Reference resolution

44 of 44 outbound references displayed

verified exact20
verified fuzzy9
unresolved13
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b2b093b6-87ee-4e6b-92b7-df214cce0373 · outbound

This paper cites Acar and C.

Well-posedness of an optical flow based optimal control formulation for image registration Acar and C

Reference 1

Resolution: verified exact; doi, observed 2026-08-06T17:55:45.015357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1e2d9db8-a9b0-470d-a4fa-c44187149613 · outbound

This paper cites Ambrosio, Transport equation and Cauchy problem for 𝐵𝑉 vector fields,Invent.

Well-posedness of an optical flow based optimal control formulation for image registration Ambrosio, Transport equation and Cauchy problem for 𝐵𝑉 vector fields,Invent

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.691921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22240e4f-15f8-4517-8095-10c43d99da36 · outbound

This paper cites Ambrosio and A.

Well-posedness of an optical flow based optimal control formulation for image registration Ambrosio and A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.694728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e41c7937-2ca0-428c-a5f5-6bc5b38eec4c · outbound

This paper cites Ben Belgacem and S.

Well-posedness of an optical flow based optimal control formulation for image registration Ben Belgacem and S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.398005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 156b8612-e59a-44ad-b141-6c7fa97dc084 · outbound

This paper cites Bennett and R.

Well-posedness of an optical flow based optimal control formulation for image registration Bennett and R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.389845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d6b48cb4-5e19-40bf-a3bb-e5cfbe5d2a79 · outbound

This paper cites Borzi, K.

Well-posedness of an optical flow based optimal control formulation for image registration Borzi, K

Reference 7

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.996968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1c9dc6f8-9a38-483a-b453-d801b6737d30 · outbound

This paper cites Bouchut, F.

Well-posedness of an optical flow based optimal control formulation for image registration Bouchut, F

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.381439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9f3cbf12-6c6f-45aa-ab5e-5ffa9bdef49c · outbound

This paper cites Brandenburg, F.

Well-posedness of an optical flow based optimal control formulation for image registration Brandenburg, F

Reference 9

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.989137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4d99676b-0c98-460d-a167-739e71151234 · outbound

This paper cites A pointwise characterization of the subdifferential of the total variation functional.

Well-posedness of an optical flow based optimal control formulation for image registration A pointwise characterization of the subdifferential of the total variation functional

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.713166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d51fdbd-d451-4c7b-821c-e94eda9be7f4 · outbound

This paper cites Budhiraja and P.

Well-posedness of an optical flow based optimal control formulation for image registration Budhiraja and P

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.715804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0466afe0-407f-42f5-aa5c-c8e310868f71 · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.718389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1dca0039-4a49-4607-80d4-a8d7aae14868 · outbound

This paper cites Chen and D.

Well-posedness of an optical flow based optimal control formulation for image registration Chen and D

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.969976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation af4fbd88-3638-4848-8551-e6a76e83afc3 · outbound

This paper cites Clason, 𝐿∞ fitting for inverse problems with uniform noise,Inverse Problems28 (2012), 104007, 18,doi:10.1088/0266-5611/28/10/104007,https://doi.org/10.1088/0266-5611/28/10/104007.

Well-posedness of an optical flow based optimal control formulation for image registration Clason, 𝐿∞ fitting for inverse problems with uniform noise,Inverse Problems28 (2012), 104007, 18,doi:10.1088/0266-5611/28/10/104007,https://doi.org/10.1088/0266-5611/28/10/104007

Reference 14

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.961434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cf2a2c7a-c8c0-41be-91d4-5a9df3adc188 · outbound

This paper cites Clason, K.

Well-posedness of an optical flow based optimal control formulation for image registration Clason, K

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-06T17:55:45.282918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 176fc61e-cc25-4109-b257-453bf56fd9fc · outbound

This paper cites Clason, D.

Well-posedness of an optical flow based optimal control formulation for image registration Clason, D

Reference 16

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T17:55:45.178282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 861d69f3-598f-418a-a93b-caa75135caec · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.953552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 966b73a6-2784-4f7c-87df-584daa9d3752 · outbound

This paper cites Crippa,The Flow Associated to Weakly Differentiable Vector Fields, PhD thesis, University of Zurich, 2008,doi:10.5167/uzh-163873.

Well-posedness of an optical flow based optimal control formulation for image registration Crippa,The Flow Associated to Weakly Differentiable Vector Fields, PhD thesis, University of Zurich, 2008,doi:10.5167/uzh-163873

Reference 18

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.945693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6ec2c764-286e-4e1e-bb6c-3c346902f5e5 · outbound

This paper cites Crippa, C.

Well-posedness of an optical flow based optimal control formulation for image registration Crippa, C

Reference 19

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.937844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 708b0780-529f-483c-94c2-c2959b788dd8 · outbound

This paper cites De Lellis, Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions], number 317, 2008, Exp.

Well-posedness of an optical flow based optimal control formulation for image registration De Lellis, Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio [after Ambrosio, DiPerna, Lions], number 317, 2008, Exp

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.373721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 203d1c6f-1cdb-4c18-ab11-7d835866a56e · outbound

This paper cites Deckelnick, P.

Well-posedness of an optical flow based optimal control formulation for image registration Deckelnick, P

Reference 22

Resolution: malformed identifier; no resolver link, observed 2026-08-06T17:55:44.742236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a35c0f0-e9c3-403e-a753-a36bb257aab7 · outbound

This paper cites Diehl, J.

Well-posedness of an optical flow based optimal control formulation for image registration Diehl, J

Reference 23

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.930201Z

Source-reported events for the cited work

correction dated 2022-11-15. Source: crossref record 10.1007/s10589-022-00423-6->10.1007/s10589-022-00415-6:correction, observed 2026-07-11T03:07:35.326036+00:00. This notice travels one citation hop only.

Observation dd178c18-a0e4-4370-bff4-bfdadc4c5dad · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.746768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b811abfc-16b0-4aae-a66c-ea1d58a2b7c5 · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.749084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b22896cd-021d-4b3c-ab51-0d403baaefe4 · outbound

This paper cites Dupuis and R.

Well-posedness of an optical flow based optimal control formulation for image registration Dupuis and R

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.751618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd216e25-01de-4a05-a7e1-ca1790cd63d9 · outbound

This paper cites Gwiazda, S.

Well-posedness of an optical flow based optimal control formulation for image registration Gwiazda, S

Reference 27

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.906755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c5298b8a-68f3-4e19-af4c-6948510516c1 · outbound

This paper cites Jarde,Analysis of Optimal Control Problems for the Optical Flow Equation under Mild Regularity Assumptions, PhD thesis, Technische Universität München, 2018.

Well-posedness of an optical flow based optimal control formulation for image registration Jarde,Analysis of Optimal Control Problems for the Optical Flow Equation under Mild Regularity Assumptions, PhD thesis, Technische Universität München, 2018

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.365241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a839c4f1-b043-4519-900c-32b2373941d2 · outbound

This paper cites Jarde and M.

Well-posedness of an optical flow based optimal control formulation for image registration Jarde and M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.356192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a30176e0-6711-46b4-b86d-472a3111331f · outbound

This paper cites Kosmol and D.

Well-posedness of an optical flow based optimal control formulation for image registration Kosmol and D

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.346376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e736bae8-a0c7-4244-9b8d-792d60da8960 · outbound

This paper cites Kruse and M.

Well-posedness of an optical flow based optimal control formulation for image registration Kruse and M

Reference 31

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.899122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a3ede13e-a582-459b-8e7a-5907edb663bc · outbound

This paper cites Leoni,A first course in Sobolev spaces, volume 181 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, second edition, 2017,doi:10.1090/gsm/181.

Well-posedness of an optical flow based optimal control formulation for image registration Leoni,A first course in Sobolev spaces, volume 181 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, second edition, 2017,doi:10.1090/gsm/181

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.766594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8908299c-8b50-4c4b-bb37-296a2e29c34e · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:55:45.336981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9033c293-b9db-4a38-a20e-21b99cadd47a · outbound

This paper cites Well-posedness of an optical flow based optimal control formulation for image registration.

Well-posedness of an optical flow based optimal control formulation for image registration Well-posedness of an optical flow based optimal control formulation for image registration

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:55:45.302818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 46ee01ef-cad6-4be4-9f53-10e3d562895f · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 35

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.886319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 209c023f-f882-4a07-8041-e97ff103edc9 · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.878706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 828ae21c-d9e0-459c-8fce-3e60b3daca57 · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:55:45.328655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 51f592f2-3436-4897-8a46-34d58517158a · outbound

This paper cites Ring, Structural properties of solutions to total variation regularization problems,M2AN Math.

Well-posedness of an optical flow based optimal control formulation for image registration Ring, Structural properties of solutions to total variation regularization problems,M2AN Math

Reference 38

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.870780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 447701fc-e93e-4e29-a825-36a6a2290d1d · outbound

This paper cites Rudin,Functional analysis, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, second edition, 1991.

Well-posedness of an optical flow based optimal control formulation for image registration Rudin,Functional analysis, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, second edition, 1991

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.320421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 92827680-dbdb-424b-ae04-0eed04ddbf22 · outbound

This paper cites Shapiro, D.

Well-posedness of an optical flow based optimal control formulation for image registration Shapiro, D

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.785600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a127de16-4e13-4134-a661-aa399f150ce9 · outbound

This paper cites Simon,Convexity, volume 187 of Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge, 2011,doi:10.1017/cbo9780511910135.

Well-posedness of an optical flow based optimal control formulation for image registration Simon,Convexity, volume 187 of Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge, 2011,doi:10.1017/cbo9780511910135

Reference 41

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.857805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4649d028-7d65-40ee-9910-1bdf62949ba2 · outbound

This paper cites Subko, A remark on the transport equation with𝑏∈BV and div𝑥𝑏∈BMO ,Colloq.

Well-posedness of an optical flow based optimal control formulation for image registration Subko, A remark on the transport equation with𝑏∈BV and div𝑥𝑏∈BMO ,Colloq

Reference 42

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.849177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation be9d7537-a904-408a-9899-418f38b1a5c4 · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 43

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.840807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ae6b944f-37b5-4610-b5b4-ab36e2006c1e · outbound

This paper cites Tröltzsch,Optimal control of partial differential equations, volume 112 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, 2010,doi:10.1090/gsm/112.

Well-posedness of an optical flow based optimal control formulation for image registration Tröltzsch,Optimal control of partial differential equations, volume 112 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, 2010,doi:10.1090/gsm/112

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T17:55:44.795587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf15a2d6-f3d5-47d9-8be2-101c726eebe2 · outbound

This paper cites Turett, Fenchel-Orlicz spaces,Dissertationes Math.

Well-posedness of an optical flow based optimal control formulation for image registration Turett, Fenchel-Orlicz spaces,Dissertationes Math

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:55:45.311395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3cd0ef78-523f-45b6-bac0-acb06bf761d3 · outbound

This paper cites an unresolved cited work.

Well-posedness of an optical flow based optimal control formulation for image registration Unresolved cited work

Reference 46

Resolution: verified exact; doi, observed 2026-08-06T17:55:44.826132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 9033c293-b9db-4a38-a20e-21b99cadd47a · inbound