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Particle Filtering for Non-Deterministic Electrocardiographic Imaging

As of 16 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2509.19404.

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pith.paper-citation-record.v1
2509.19404 v2

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measured 58 of 58 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Outbound references

Observation 0065ee50-1d30-4d36-90ac-abd77e28b20f · outbound

This paper cites The inverse problem of electrocardiography.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging The inverse problem of electrocardiography

Reference 1

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Observation 92b1a94a-9656-435a-8028-8b350f59dae3 · outbound

This paper cites Introduction to noninvasive cardiac mapping.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Introduction to noninvasive cardiac mapping

Reference 2

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Observation 64556581-72ca-4c15-a116-ac5accd9ecc9 · outbound

This paper cites Noninvasive re- construction of cardiac electrical activity: update on current methods, applications and challenges.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Noninvasive re- construction of cardiac electrical activity: update on current methods, applications and challenges

Reference 3

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Observation c6957ff2-4e42-4658-a8e4-38d59a811cc0 · outbound

This paper cites Reducing line-of-block artifacts in cardiac activation maps estimated using ecg imaging: A comparison of source models and estimation methods.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Reducing line-of-block artifacts in cardiac activation maps estimated using ecg imaging: A comparison of source models and estimation methods

Reference 4

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Observation 98dbac4e-bae7-4469-acd9-b4d7c916b836 · outbound

This paper cites Why is the cauchy problem severely ill-posed? Inverse problems , 23(2):823, 2007.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Why is the cauchy problem severely ill-posed? Inverse problems , 23(2):823, 2007

Reference 5

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Observation daf4b752-e23c-4937-9214-02c03689213a · outbound

This paper cites Solutions of ill-posed problems.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Solutions of ill-posed problems

Reference 6

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This paper cites Cam- bridge university press, 2023.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Cam- bridge university press, 2023

Reference 7

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Observation 8ccb2ceb-d01a-432b-8cb6-902a85a2679d · outbound

This paper cites Phillips, R.M.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Phillips, R.M

Reference 8

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Observation b32d03c3-cea9-4ee9-8732-c770dd5b7d1c · outbound

This paper cites Baillet and L.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Baillet and L

Reference 9

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Observation 143182b9-23cb-421e-89d7-5f73f61d7193 · outbound

This paper cites Bayesian inference applied to the electromagnetic inverse problem.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Bayesian inference applied to the electromagnetic inverse problem

Reference 10

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Particle Filtering for Non-Deterministic Electrocardiographic Imaging Unresolved cited work

Reference 11

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Observation 956324a3-f178-40a9-a6a4-8125b65dbd8b · outbound

This paper cites Time-recursive solution to the inverse problem of electrocardiography.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Time-recursive solution to the inverse problem of electrocardiography

Reference 12

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Observation d265d7ca-500c-4962-afce-585703db2bfd · outbound

This paper cites Kalman filter with augmented measurement model: an ecg imaging simulation study.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Kalman filter with augmented measurement model: an ecg imaging simulation study

Reference 13

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Observation f1606d02-d4db-44ae-8ee5-aca8793b0cf4 · outbound

This paper cites Statistical estimation applied to electrocardiographic imag- ing.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Statistical estimation applied to electrocardiographic imag- ing

Reference 14

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Observation a336e7a9-2f25-4251-b9e8-220f083be62c · outbound

This paper cites The unscented kalman filter for nonlinear estimation.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging The unscented kalman filter for nonlinear estimation

Reference 15

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Observation 44bba905-c638-42ec-b12d-9f6d5a6be2ba · outbound

This paper cites Physiological- model-constrained noninvasive reconstruction of volumetric myocardial transmembrane po- tentials.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Physiological- model-constrained noninvasive reconstruction of volumetric myocardial transmembrane po- tentials

Reference 16

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Observation 23ad83e1-717c-4f59-8c98-0077b1beb6c2 · outbound

This paper cites Noninvasive estimation of global activation sequence using the extended kalman filter.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Noninvasive estimation of global activation sequence using the extended kalman filter

Reference 17

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Observation a8583c13-2491-4840-b035-766ad514caf1 · outbound

This paper cites Bayesian solutions and performance analysis in bioelectric inverse problems.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Bayesian solutions and performance analysis in bioelectric inverse problems

Reference 18

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Observation f93b0da2-3ed2-4a41-88ec-a00900f6e005 · outbound

This paper cites Particle filtering for large-dimensional state spaces with multimodal observation likelihoods.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Particle filtering for large-dimensional state spaces with multimodal observation likelihoods

Reference 19

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Observation 14606621-1c92-44ff-bf58-467a2fbab3d5 · outbound

This paper cites Sequential monte carlo methods for dynamic systems.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Sequential monte carlo methods for dynamic systems

Reference 20

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Observation 444e4783-aa7b-43e4-ac42-6ce94907cfb6 · outbound

This paper cites Genetic algorithms in electromagnetics.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Genetic algorithms in electromagnetics

Reference 21

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Observation c7884a38-e5e1-4b2f-953c-7c1cf40e897a · outbound

This paper cites Particle filters and bayesian inference in financial econometrics.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Particle filters and bayesian inference in financial econometrics

Reference 22

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Observation 91d3e6a2-73f5-4532-bbf4-ba683417f34c · outbound

This paper cites Target motion analysis using angular measurements and underwater sound pressure levels.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Target motion analysis using angular measurements and underwater sound pressure levels

Reference 23

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Observation 82029d42-3102-4842-a459-8bca62784112 · outbound

This paper cites On the stability of measure valued processes with ap- plications to filtering.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging On the stability of measure valued processes with ap- plications to filtering

Reference 24

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Observation db98731a-7acd-46d3-9077-05f4701e3911 · outbound

This paper cites An introduction to sequential Monte Carlo, volume 4.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging An introduction to sequential Monte Carlo, volume 4

Reference 25

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Observation 516dadfc-37ef-48a8-b1af-67a131e8b0b3 · outbound

This paper cites On the mathematical foundations of diffusion monte carlo.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging On the mathematical foundations of diffusion monte carlo

Reference 26

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Observation 79fde58a-8052-43f2-9332-05c601cef9bc · outbound

This paper cites Non-invasive imaging of cardiac activation and recovery.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Non-invasive imaging of cardiac activation and recovery

Reference 27

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Observation 4adb2d39-15b7-46ff-a122-9e458df998a5 · outbound

This paper cites A parameter optimiza- tion to solve the inverse problem in electrocardiography.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging A parameter optimiza- tion to solve the inverse problem in electrocardiography

Reference 28

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Observation 6bc9a78e-4984-47d2-8efb-08cac61348b9 · outbound

This paper cites Source and metric estimation in the eikonal equation using optimization on a manifold.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Source and metric estimation in the eikonal equation using optimization on a manifold

Reference 29

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Observation 721534f5-ba7e-4064-82f9-ad6224bf0ef3 · outbound

This paper cites Mathematical modeling of the excitation process in myocardial tissue: Influence of fiber rotation on wavefront propagation and potential field.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Mathematical modeling of the excitation process in myocardial tissue: Influence of fiber rotation on wavefront propagation and potential field

Reference 30

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Observation d206e4c1-fa89-4621-9999-464e25f26c39 · outbound

This paper cites Geasi: Geodesic-based earliest activation sites identification in cardiac mod- els.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Geasi: Geodesic-based earliest activation sites identification in cardiac mod- els

Reference 31

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Observation 10246b44-f07e-4f78-9eda-10867df93c33 · outbound

This paper cites Ml and map estimation of parameters for the kalman filter and smoother applied to electrocardiographic imaging.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Ml and map estimation of parameters for the kalman filter and smoother applied to electrocardiographic imaging

Reference 32

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Observation 615661b9-392d-4143-bc5c-a26c4d27080a · outbound

This paper cites Use of simulated data for the estimation of prior models in kalman filter-based ecgi.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Use of simulated data for the estimation of prior models in kalman filter-based ecgi

Reference 33

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Observation fe6ba140-5e5b-4b51-b103-48d8ad1babde · outbound

This paper cites Modeling the electrical activity of the heart: a bidomain model of the ventricles embedded in a torso.Computing and Visualization in Science, 5:195–213, 2003.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Modeling the electrical activity of the heart: a bidomain model of the ventricles embedded in a torso.Computing and Visualization in Science, 5:195–213, 2003

Reference 34

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Observation e94c14af-745d-4159-952c-2171aa69fae8 · outbound

This paper cites A bi-domain model for describing ischemic myocardial dc potentials.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging A bi-domain model for describing ischemic myocardial dc potentials

Reference 35

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Observation 15bae7ec-2a83-4f25-af33-631651def864 · outbound

This paper cites Solving the inverse problem of electrocardiography for cardiac digital twins: A survey.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Solving the inverse problem of electrocardiography for cardiac digital twins: A survey

Reference 36

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Observation ad77e664-28ce-42d2-9f52-5ffbd5447a2b · outbound

This paper cites Basis and applicability of noninvasive inverse electrocardiography: a comparison between cardiac source models.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Basis and applicability of noninvasive inverse electrocardiography: a comparison between cardiac source models

Reference 37

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Observation 2bbe25ba-d66b-490f-8f3a-9d77c1d7d31e · outbound

This paper cites Performance and limitations of noninvasive cardiac activation mapping.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Performance and limitations of noninvasive cardiac activation mapping

Reference 38

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Observation 2945c717-93e3-4318-8323-9a81d6d9e85a · outbound

This paper cites Localization of activation origin on patient-specific epicardial surface by empirical bayesian method.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Localization of activation origin on patient-specific epicardial surface by empirical bayesian method

Reference 39

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Observation 8e42e8a8-ba25-4270-96de-e235273bba93 · outbound

This paper cites A com- parison of monodomain and bidomain reaction-diffusion models for action potential prop- agation in the human heart.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging A com- parison of monodomain and bidomain reaction-diffusion models for action potential prop- agation in the human heart

Reference 40

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Observation b94287c9-5458-446c-be22-cae8268f537a · outbound

This paper cites Mathematical mod- els and numerical methods for the forward problem in cardiac electrophysiology.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Mathematical mod- els and numerical methods for the forward problem in cardiac electrophysiology

Reference 41

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Observation 74aa650f-5e39-45e4-a640-1f35445af7f5 · outbound

This paper cites Beyond the Kalman filter: Particle filters for tracking applications.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Beyond the Kalman filter: Particle filters for tracking applications

Reference 42

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source=pdf_text observed=2026-08-04T15:45:49.059721Z digest=sha256:df1edbdc253be8d72c55b57694296f3f1e10e412a1399633c6d3462720cf5f20

Observation 826b77a8-8d8c-434c-8bee-cbe1160c55e0 · outbound

This paper cites Particle filters: A hands-on tutorial.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Particle filters: A hands-on tutorial

Reference 43

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source=pdf_text observed=2026-08-04T15:45:49.062624Z digest=sha256:229ad1b99ca659a4e4dee4a0529d9677d1e3477c8b6214ba534ca573ae800c06

Observation ea89a800-92dd-4613-a40c-bf9a866b4e5d · outbound

This paper cites Novel approach to nonlinear/non- gaussian bayesian state estimation.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Novel approach to nonlinear/non- gaussian bayesian state estimation

Reference 44

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source=pdf_text observed=2026-08-04T15:45:49.065595Z digest=sha256:e84939a271bd9eb6a8c57acb5a52477d24130f85d4487372eff411f1e6a9ef3d

Observation c316459c-b594-4100-8bfe-63840e729619 · outbound

This paper cites An eikonal-curvature equation for action potential propagation in my- ocardium.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging An eikonal-curvature equation for action potential propagation in my- ocardium

Reference 45

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source=pdf_text observed=2026-08-04T15:45:49.068483Z digest=sha256:e13aa02ff91fb854f5263958aacab447c851c1b5316429f5a9b09d3be05b44b3

Observation 09cfe88c-2bbc-49f1-b811-bcbb01dc9c3b · outbound

This paper cites A two-current model for the dynamics of cardiac membrane.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging A two-current model for the dynamics of cardiac membrane

Reference 46

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source=pdf_text observed=2026-08-04T15:45:49.071498Z digest=sha256:d920fcc036559bbcac2ca235a2b55592ae47857bffe434bd32051051ff72f396

Observation cedbae6d-746b-4521-91a5-574f83f246d7 · outbound

This paper cites A depth-averaged heart model for the inverse problem of cardiac electrophysiology.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging A depth-averaged heart model for the inverse problem of cardiac electrophysiology

Reference 47

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source=pdf_text observed=2026-08-04T15:45:49.074417Z digest=sha256:749489a6333d5db6cd13b0c04a27b3ed23366671ef920bb983d6ca55e248d599

Observation 4d623bfc-9d35-4d5e-be9f-362ce53bcf83 · outbound

This paper cites Effects of the insertion of epicardial anisotropy versus isotropy in the inverse problem of electrocardiography.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Effects of the insertion of epicardial anisotropy versus isotropy in the inverse problem of electrocardiography

Reference 48

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source=pdf_text observed=2026-08-04T15:45:49.077153Z digest=sha256:7316264c253e786856bb175b8821050748230fdc83073ae50fde9b084edf99b6

Observation 2bd1e1c8-9db6-45b0-b086-2fb42e4c35d3 · outbound

This paper cites Source-field relationships for cardiac generators on the heart surface based on their transfer coefficients.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Source-field relationships for cardiac generators on the heart surface based on their transfer coefficients

Reference 49

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source=pdf_text observed=2026-08-04T15:45:49.079672Z digest=sha256:c8ecd59f5257c4b2cd4c5ac9f28db28a92882f22e05a28091cdc0ef02007568b

Observation 9275ad2d-340c-4d9f-8415-8291facdd86b · outbound

This paper cites Description of cardiac sources in anisotropic cardiac muscle: applica- tion of bidomain model.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Description of cardiac sources in anisotropic cardiac muscle: applica- tion of bidomain model

Reference 50

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source=pdf_text observed=2026-08-04T15:45:49.082289Z digest=sha256:5a4c1f9b71c7521ec59c5335dc178a8b06b3126e792b3ae67e68cf61da84ec4c

Observation 4fcf01bd-3ea9-47aa-9c64-242fd3addf5f · outbound

This paper cites Basis and applicability of noninvasive inverse electrocardiography: a comparison between cardiac source models.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Basis and applicability of noninvasive inverse electrocardiography: a comparison between cardiac source models

Reference 51

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source=pdf_text observed=2026-08-04T15:45:49.085278Z digest=sha256:717041387a7a13789ae7151b8198cfe51eb1a0b928d9d09e428168fe4b74cdae

Observation 4c374c12-a265-4812-b3d9-ccbfed905d27 · outbound

This paper cites Semi-implicit time-discretization schemes for the bido- main model.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Semi-implicit time-discretization schemes for the bido- main model

Reference 52

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source=pdf_text observed=2026-08-04T15:45:49.087940Z digest=sha256:5c93430bf0a55f83792b683210bf7c6374380e7dc335e703bcc8a4c76998817f

Observation 289f64d5-147d-401a-9011-fdc9446a157a · outbound

This paper cites A novel rule- based algorithm for assigning myocardial fiber orientation to computational heart models.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging A novel rule- based algorithm for assigning myocardial fiber orientation to computational heart models

Reference 53

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source=pdf_text observed=2026-08-04T15:45:49.090984Z digest=sha256:3b32a9e56afef09fe21c1880a254e860d913e63a750378d55ac41e8f982ff8a9

Observation f6c030dc-3fa2-459a-8f14-9d3bbcfd7c6c · outbound

This paper cites Scalable and accurate ecg simulation for reaction-diffusion models of the human heart.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Scalable and accurate ecg simulation for reaction-diffusion models of the human heart

Reference 54

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source=pdf_text observed=2026-08-04T15:45:49.093840Z digest=sha256:9290eb4d571eee0b193b466ad89bb6781b75615fc7fe667dddb7500c02e5a376

Observation e6d7db70-6f52-4b31-85a7-265bf4b70e6f · outbound

This paper cites A fast marching level set method for monotonically advancing fronts.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging A fast marching level set method for monotonically advancing fronts

Reference 55

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source=pdf_text observed=2026-08-04T15:45:49.096641Z digest=sha256:e42917c7242529b7c93911030f6df25a6229eba11fbf7f5d09d0c085fb4f3b13

Observation aa5a37cd-fa7f-4d92-9d89-21c81fbe2d46 · outbound

This paper cites The heat method for distance computation.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging The heat method for distance computation

Reference 56

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source=pdf_text observed=2026-08-04T15:45:49.099448Z digest=sha256:1f2a901981e9c2279212f23aa2de565380bd8937038a896e78059fb472fb9fee

Observation bf135b71-cdd6-4949-b958-3d71f45480a3 · outbound

This paper cites Comparison of two formulations for computing body surface potential maps.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Comparison of two formulations for computing body surface potential maps

Reference 57

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source=pdf_text observed=2026-08-04T15:45:49.102289Z digest=sha256:9199ceb67f3181fc6a2cd4a89f7e524b07ede78409eabf9446bd6654d56e6116

Observation 4002eff5-869c-4e9c-ae78-e13c6d12b9d9 · outbound

This paper cites Assessment of a threshold method for computing activation maps from reconstructed transmembrane voltages.

Particle Filtering for Non-Deterministic Electrocardiographic Imaging Assessment of a threshold method for computing activation maps from reconstructed transmembrane voltages

Reference 58

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source=pdf_text observed=2026-08-04T15:45:49.105046Z digest=sha256:9d68126c9da25870775da28f7bcbbf0fa180cc27621fcfbf0cc981be85c2c285

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