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Paper Citation Record · LEDGER

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection

As of 18 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:2506.05728.

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

pith.paper-citation-record.v1
2506.05728 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:24:44.455732Z

measured 50 of 50 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T18:55:45.228565Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-09T06:30:41.066145Z

Reference resolution

48 of 48 outbound references displayed

  • verified exact3
  • verified fuzzy28
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49f1385c-8501-472d-9ac4-de0a6096df06 · outbound

This paper cites an unresolved cited work.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 1

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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.

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Observation d3a8c10a-d7f7-4eeb-af8d-b93c4cdda33c · outbound

This paper cites an unresolved cited work.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 2

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

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Observation eb67136e-a231-4fbc-9eda-8cc853b3d366 · outbound

This paper cites an unresolved cited work.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 3

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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.

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Observation 9c1b24c6-c32c-44b7-94f3-29619f3fe23e · outbound

This paper cites A new approach to linear filtering and prediction problems,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection A new approach to linear filtering and prediction problems,

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 69b78cd3-0286-4c64-8def-0b96db52b1b7 · outbound

This paper cites an unresolved cited work.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 5

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

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Observation b550dd6c-254a-4398-8f27-c8ee38cccade · outbound

This paper cites an unresolved cited work.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 6

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

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Observation 621cafbd-7cc8-4866-a3f7-5c58c7ba94a0 · outbound

This paper cites Gelbet al.,Applied optimal estimation.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Gelbet al.,Applied optimal estimation

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:24:41.194760Z digest=sha256:6279fad8ece161a537a129df3b70cd328e6ca065a5c958d86f56499cebec0763

Observation e2b783bd-9c99-4d9f-8849-e60827a5dac8 · outbound

This paper cites an unresolved cited work.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 8

Resolution
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no resolver link, observed 2026-08-07T10:24:41.293284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:24:41.293284Z digest=sha256:427c40fca60d70aaa36e0eed69030012c06540cbfccdb7ac5bff1903a99a26a6

Observation 436ccce8-7a2c-4cff-a157-92060a3e8211 · outbound

This paper cites Robust extended kalman filtering,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Robust extended kalman filtering,

Reference 9

Resolution
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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.

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Observation 037c9f44-50e9-4e54-a1ff-efb6117fcf4b · outbound

This paper cites Unscented filtering and nonlinear estimation,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unscented filtering and nonlinear estimation,

Reference 10

Resolution
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no resolver link, observed 2026-08-07T10:24:41.425234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 45b1bfd3-b511-49db-8285-198dfdb719de · outbound

This paper cites Some filtering results in riemann manifolds,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Some filtering results in riemann manifolds,

Reference 11

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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.

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Observation 6c930307-ad70-4a6c-bee4-092100f2938f · outbound

This paper cites Kalman filtering for spacecraft attitude estimation,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Kalman filtering for spacecraft attitude estimation,

Reference 12

Resolution
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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.

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Observation 0f9df109-2d8a-4bee-94ef-7a9f50338202 · outbound

This paper cites Nonlinear filtering in riemannian manifolds,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Nonlinear filtering in riemannian manifolds,

Reference 13

Resolution
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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.

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Observation 39aaef3f-22f8-4775-bbc0-579f5133af7c · outbound

This paper cites Integrating generic sensor fusion algorithms with sound state representations through encapsulation of manifolds,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Integrating generic sensor fusion algorithms with sound state representations through encapsulation of manifolds,

Reference 14

Resolution
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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.

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Observation c4c82903-cd7f-4ec4-8fc4-9420250b92cd · outbound

This paper cites Extended kalman filter with manifold state representation for navigating a maneuverable melting probe,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Extended kalman filter with manifold state representation for navigating a maneuverable melting probe,

Reference 15

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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.

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Observation 13d7b62b-3928-420a-9af8-d4065633bab3 · outbound

This paper cites The invariant extended kalman filter as a stable observer,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection The invariant extended kalman filter as a stable observer,

Reference 16

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d92c27af-b35e-471d-9ae2-82a06301e55b · outbound

This paper cites Unscented kalman filtering on riemannian manifolds,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unscented kalman filtering on riemannian manifolds,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:46.290475Z

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.

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Observation d204b6b1-c116-4207-8793-c6cce4262df2 · outbound

This paper cites Iterated extended kalman filter based visual-inertial odom- etry using direct photometric feedback,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Iterated extended kalman filter based visual-inertial odom- etry using direct photometric feedback,

Reference 18

Resolution
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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.

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Observation 893bcd16-9af9-4c56-9c9f-b8f773d623cd · outbound

This paper cites On filtering with observation in a manifold: Reduction to a classical filtering problem,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection On filtering with observation in a manifold: Reduction to a classical filtering problem,

Reference 19

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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.

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Observation 3137f1ae-d0dc-429e-b970-eaba9708243a · outbound

This paper cites Invariant affine connections on homogeneous spaces,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Invariant affine connections on homogeneous spaces,

Reference 20

Resolution
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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.

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Observation 572fd91f-0e47-421f-835d-a1666dad9757 · outbound

This paper cites Attitude error representations for kalman filtering,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Attitude error representations for kalman filtering,

Reference 21

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

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Observation 28e36b8a-ad44-455a-8573-8a8e52fdbaf6 · outbound

This paper cites Circumventing dynamic modeling: Evaluation of the error-state kalman filter applied to mobile robot localization,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Circumventing dynamic modeling: Evaluation of the error-state kalman filter applied to mobile robot localization,

Reference 22

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

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Observation dbea2674-5bf2-4a72-84a2-6df4a93a9d27 · outbound

This paper cites Error propagation on the euclidean group with applications to manipulator kinematics,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Error propagation on the euclidean group with applications to manipulator kinematics,

Reference 23

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

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Observation ff5784a5-43d9-4ff7-8602-66f9721b9e3a · outbound

This paper cites The banana distribution is gaussian: A localization study with exponential coordinates,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection The banana distribution is gaussian: A localization study with exponential coordinates,

Reference 24

Resolution
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raw_fallback, observed 2026-08-07T10:24:46.227525Z

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.

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Observation b897b85f-d76a-4b25-a668-d0d69ea014dc · outbound

This paper cites Left-invariant extended kalman filter and attitude estimation,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Left-invariant extended kalman filter and attitude estimation,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:46.213304Z

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.

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Observation 28725ed5-6d9b-466c-8580-340e9a89bb65 · outbound

This paper cites Invariant extended kalman filter: theory and application to a velocity-aided attitude estimation problem,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Invariant extended kalman filter: theory and application to a velocity-aided attitude estimation problem,

Reference 26

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raw_fallback, observed 2026-08-07T10:24:46.203959Z

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.

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Observation 7534290c-feac-4847-bf4a-697f9292edde · outbound

This paper cites Equivariant Systems Theory and Observer Design.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Equivariant Systems Theory and Observer Design

Reference 27

Resolution
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no resolver link, observed 2026-08-07T10:24:42.612722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c7d5f16e-e390-494d-be43-4fef00a93d15 · outbound

This paper cites Equivariant filter (eqf),.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Equivariant filter (eqf),

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:46.194610Z

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.

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Observation 80f21557-b0cd-46b6-871d-5dd03fa9b222 · outbound

This paper cites Equivariant filter design for discrete-time systems,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Equivariant filter design for discrete-time systems,

Reference 29

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raw_fallback, observed 2026-08-07T10:24:46.185690Z

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.

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Observation 0ce6448f-650d-4e27-8d63-1de7df872b2e · outbound

This paper cites Bayesian fusion on lie groups,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Bayesian fusion on lie groups,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:46.175826Z

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.

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Observation 1bf806c5-df30-4fa6-aafe-a9a155a92bb0 · outbound

This paper cites Continuous-discrete extended kalman filter on matrix lie groups using concentrated gaussian distributions,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Continuous-discrete extended kalman filter on matrix lie groups using concentrated gaussian distributions,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:46.166489Z

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.

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Observation 11399f53-d624-4e95-9f5b-fbff7adc406f · outbound

This paper cites A geometric perspective on fusing gaussian distributions on lie groups,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection A geometric perspective on fusing gaussian distributions on lie groups,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:46.156455Z

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.

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Observation 37bc650e-14cd-4684-a76b-ff7044086ccb · outbound

This paper cites Covariance correction step for kalman filtering with an attitude,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Covariance correction step for kalman filtering with an attitude,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:24:46.147064Z

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.

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Observation df521ad7-f1bc-44dc-9138-f665127dd4c6 · outbound

This paper cites Full-order solution to the attitude reset problem for kalman filtering of atti- tudes,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Full-order solution to the attitude reset problem for kalman filtering of atti- tudes,

Reference 34

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raw_fallback, observed 2026-08-07T10:24:46.138145Z

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.

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Observation 93e566be-4aa0-4e47-a719-d3866c46eea6 · outbound

This paper cites an unresolved cited work.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 35

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unresolved
raw_fallback, observed 2026-08-07T10:24:46.129141Z

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.

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Observation 073a5299-2eaf-459b-80af-da1e6b00a11c · outbound

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The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 36

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Observation 60db9b01-c5a9-4400-a246-000c64204e32 · outbound

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The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Unresolved cited work

Reference 37

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Observation b27951bc-51e8-4b33-a440-34dcfe5969ce · outbound

This paper cites Lang,Fundamentals of differential geometry.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Lang,Fundamentals of differential geometry

Reference 38

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Observation 49e65603-f5d4-43a4-997f-a1f82661effe · outbound

This paper cites A framework for sparse, non-linear least squares problems on manifolds.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection A framework for sparse, non-linear least squares problems on manifolds

Reference 39

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Observation aeedd5e2-08ad-4835-bc89-8a72973b1c6f · outbound

This paper cites A Closed Formula for the Riemann Normal Coordinate Expansion.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection A Closed Formula for the Riemann Normal Coordinate Expansion

Reference 40

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Observation 7db3a763-baac-4727-9aca-7aa2ccaa88b3 · outbound

This paper cites Quaternion kinematics for the error-state Kalman filter.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Quaternion kinematics for the error-state Kalman filter

Reference 41

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Observation 501a9dc3-5cd5-4252-b71c-e11b146b738a · outbound

This paper cites Observer design for nonlinear systems with equivariance,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Observer design for nonlinear systems with equivariance,

Reference 42

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Observation 7750fcdf-ef6b-4067-a45b-ab10166ff628 · outbound

This paper cites Convergence and consistency analysis for extended kalman filter based slam,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Convergence and consistency analysis for extended kalman filter based slam,

Reference 43

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Observation ec84855f-90c5-46b7-b6b5-d1ae48b786fa · outbound

This paper cites The iterated kalman filter update as a gauss-newton method,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection The iterated kalman filter update as a gauss-newton method,

Reference 44

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Observation 96008297-77b2-4b97-98b8-57ce7f9e07b3 · outbound

This paper cites A note on the extended kalman filter on a manifold,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection A note on the extended kalman filter on a manifold,

Reference 45

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Observation 0600676b-221e-4d7a-9b34-aab0d8c7e2c4 · outbound

This paper cites Evaluation of estimation algorithms: Credibility tests,.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Evaluation of estimation algorithms: Credibility tests,

Reference 46

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Observation 1a1d9a30-21b3-428a-bfa6-e5ae9653737f · outbound

This paper cites Helgason,Differential geometry, Lie groups, and symmetric spaces.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Helgason,Differential geometry, Lie groups, and symmetric spaces

Reference 47

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Observation 78468aca-4d5c-47e3-b7ef-082794d63310 · outbound

This paper cites Geometric Wave Equations.

The Geometry of Extended Kalman Filters on Manifolds with Affine Connection Geometric Wave Equations

Reference 48

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Pith citing papers

Observation f3008b0e-3497-48d0-85f9-451417dbb774 · inbound

Exact Higher-Order Derivatives for SE(3) via Analytical/AD Methods cites this paper.

Exact Higher-Order Derivatives for SE(3) via Analytical/AD Methods The Geometry of Extended Kalman Filters on Manifolds with Affine Connection

Reference 22

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Observation e20dbfd4-60fc-49fb-9551-85702df81a0c · inbound

Pose Tracking with a Foundation Pose Model and an Ensemble Directional Kalman Filter cites this paper.

Pose Tracking with a Foundation Pose Model and an Ensemble Directional Kalman Filter The Geometry of Extended Kalman Filters on Manifolds with Affine Connection

Reference 19

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