The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Averaging Quaternions
Abstract
Many applications require an algorithm that averages quaternions in an optimal manner. For example, when combining the quaternion outputs of multiple star trackers having this output capability, it is desirable to properly average the quaternions without recomputing the attitude from the the raw star tracker data. Other applications requiring some sort
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Journal of the Astronautical Sciences
(2013) · The Journal of the Astronautical Sciences · doi:10.1007/40295.2195-0571 · Cited by 2,775
Spacecraft Attitude Determination and Control
(1978) · Astrophysics and Space Science Library · doi:10.1007/978-94-009-9907-7 · Cited by 1,892
Three-axis attitude determination from vector observations
SHUSTER, M. D., & OH, S. D. (1981) · Journal of Guidance and Control · doi:10.2514/3.19717 · Cited by 1,399
A Least Squares Estimate of Satellite Attitude
Wahba, G. (1965) · SIAM Review · doi:10.1137/1007077 · Cited by 1,116
Quaternion Attitude Estimation Using Vector Observations
Markley, F. L., & Mortari, D. (2000) · The Journal of the Astronautical Sciences · doi:10.1007/bf03546284 · Cited by 326
Self-citationInvariance of Maximum Likelihood Estimators
Zehna, P. W. (1966) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177699475 · Cited by 254
Oshman, Y., & Carmi, A. Y. (2006) · Journal of Guidance Control and Dynamics · doi:10.2514/1.17951 · Cited by 85
Self-citation
Cited by
Hartley, R., Trumpf, J., Dai, Y., & Li, H. (2013) · International Journal of Computer Vision · doi:10.1007/s11263-012-0601-0 · Cited by 486
DSEC: A Stereo Event Camera Dataset for Driving Scenarios
Gehrig, M., Aarents, W., Gehrig, D., & Scaramuzza, D. (2021) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2021.3068942 · Cited by 428
Deep Learning for Spacecraft Pose Estimation from Photorealistic Rendering
Proenca, P. F., & Gao, Y. (2020) · 2020 IEEE International Conference on Robotics and Automation (ICRA) · doi:10.1109/icra40945.2020.9197244 · Cited by 229
“where ai is assigned to wi and the optimal solution is given by the right null space of the matrix ∑N i wi(bibi >) [41].”
BackgroundNeural Network-Based Pose Estimation for Noncooperative Spacecraft Rendezvous
Sharma, S., & D'Amico, S. (2020) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/taes.2020.2999148 · Cited by 196
Hachaj, T., & Piekarczyk, M. (2019) · Sensors · doi:10.3390/s19245408 · Cited by 30
Metadata
- Authors
- Markley, F. L., Cheng, Y., Crassidis, J. L., & Oshman, Y.
- Venue
- Journal of Guidance, Control, and Dynamics
- Published
- 2007-07
- Volume
- 30
- Issue
- 4
- Pages
- 1193-1197
- ISSN
- 0731-5090 (ISSN-L)
- 1533-3884
- OpenAlex
- W4246449400
- Cited by
- 363
- References
- 7
- FWCI
- 6.36
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Averaging Quaternions. https://app.cochat.ai/papers/10.2514/1.28949
- The paper
- Markley, F. L., Cheng, Y., Crassidis, J. L., & Oshman, Y. (2007). Averaging Quaternions. Journal of Guidance, Control, and Dynamics. https://doi.org/10.2514/1.28949
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.