{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T03:20:25Z","timestamp":1775704825209,"version":"3.50.1"},"reference-count":47,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2016,7,27]],"date-time":"2016-07-27T00:00:00Z","timestamp":1469577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"NaturalScienceFoundationofChina","award":["61505093"],"award-info":[{"award-number":["61505093"]}]},{"name":"National High Technology Research and Development Program of China (863Program)","award":["2012AA121503"],"award-info":[{"award-number":["2012AA121503"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A high-accuracy space smart payload integrated with attitude and position (SSPIAP) is a new type of optical remote sensor that can autonomously complete image positioning. Inner orientation parameters (IOPs) are a prerequisite for image position determination of an SSPIAP. The calibration of IOPs significantly influences the precision of image position determination of SSPIAPs. IOPs can be precisely measured and calibrated in a laboratory. However, they may drift to a significant degree because of vibrations during complicated launches and on-orbit functioning. Therefore, laboratory calibration methods are not suitable for on-orbit functioning. We propose an on-orbit self-calibration method for SSPIAPs. Our method is based on an auto-collimating dichroic filter combined with a micro-electro-mechanical system (MEMS) point-source focal plane. A MEMS procedure is used to manufacture a light transceiver focal plane, which integrates with point light sources and a complementary metal oxide semiconductor (CMOS) sensor. A dichroic filter is used to fabricate an auto-collimation light reflection element. The dichroic filter and the MEMS point light sources focal plane are integrated into an SSPIAP so it can perform integrated self-calibration. Experiments show that our method can achieve micrometer-level precision, which is good enough to complete real-time calibration without temporal or spatial limitations.<\/jats:p>","DOI":"10.3390\/s16081176","type":"journal-article","created":{"date-parts":[[2016,7,27]],"date-time":"2016-07-27T09:38:46Z","timestamp":1469612326000},"page":"1176","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["High-Accuracy Self-Calibration for Smart, Optical Orbiting Payloads Integrated with Attitude and Position Determination"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3581-2933","authenticated-orcid":false,"given":"Jin","family":"Li","sequence":"first","affiliation":[{"name":"Department of Precision Instrument, Tsinghua University, Beijing 100084, China"},{"name":"State Key Laboratory of Precision Measurement Technology and Instruments, Beijing 100084, China"},{"name":"Collaborative Innovation Center for Micro\/Nano Fabrication, Device and System, Beijing 100084, China"},{"name":"Photonics and Sensors Group, Department of Engineering, University of Cambridge, 9 JJ Thomson Avenue, Cambridge CB3 0FA, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fei","family":"Xing","sequence":"additional","affiliation":[{"name":"Department of Precision Instrument, Tsinghua University, Beijing 100084, China"},{"name":"State Key Laboratory of Precision Measurement Technology and Instruments, Beijing 100084, China"},{"name":"Collaborative Innovation Center for Micro\/Nano Fabrication, Device and System, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9989-6238","authenticated-orcid":false,"given":"Daping","family":"Chu","sequence":"additional","affiliation":[{"name":"Photonics and Sensors Group, Department of Engineering, University of Cambridge, 9 JJ Thomson Avenue, Cambridge CB3 0FA, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zilong","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Precision Instrument, Tsinghua University, Beijing 100084, China"},{"name":"State Key Laboratory of Precision Measurement Technology and Instruments, Beijing 100084, China"},{"name":"Collaborative Innovation Center for Micro\/Nano Fabrication, Device and System, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,7,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1117\/12.368209","article-title":"Quickbird telescope: The reality of large high-quality commercial space optics","volume":"3779","author":"Figoski","year":"1999","journal-title":"Proc. SPIE"},{"key":"ref_2","first-page":"202","article-title":"Recent Earth imaging commercial satellites with high resolutions","volume":"3","author":"Han","year":"2010","journal-title":"Chin. J. Opt. Appl. Opt."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"32524","DOI":"10.1364\/OE.21.032524","article-title":"An implementation method based on ERS imaging mode for sun sensor with 1 kHz update rate and 1 precision level","volume":"21","author":"Wei","year":"2013","journal-title":"Opt. Express"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"20096","DOI":"10.1364\/OE.21.020096","article-title":"Motion-blurred star acquisition method of the star tracker under high dynamic con-ditions","volume":"21","author":"Sun","year":"2013","journal-title":"Opt. Express"},{"key":"ref_5","first-page":"35","article-title":"Key technologies of smart optical payload in space remote sensing","volume":"34","author":"You","year":"2013","journal-title":"Spacecr. Recover. Remote Sens."},{"key":"ref_6","first-page":"3","article-title":"Space high-accuracy intelligence payload system with integrated attitude and position determination","volume":"2","author":"Li","year":"2015","journal-title":"Instrument"},{"key":"ref_7","first-page":"88","article-title":"Image motion velocity field for wide view remote sensing camera and detectors exposure integration control","volume":"33","author":"Wang","year":"2013","journal-title":"Acta Opt. Sin."},{"key":"ref_8","first-page":"1","article-title":"Optical flow method for lightweight agile remote sensor design and instrumentation","volume":"8908","author":"Wang","year":"2013","journal-title":"Proc. SPIE"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"432613","DOI":"10.1155\/2014\/432613","article-title":"Optical flow inversion for remote sensing image dense registration and sensor\u2019s attitude motion high-accurate measurement","volume":"2014","author":"Wang","year":"2014","journal-title":"Math. Probl. Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"23992","DOI":"10.1364\/OE.23.023992","article-title":"Non-iterative method for camera calibration","volume":"23","author":"Hong","year":"2007","journal-title":"Opt. Express"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"27691","DOI":"10.1364\/OE.20.027691","article-title":"Calibration of a trinocular system formed with wideangle lens cameras","volume":"20","author":"Valera","year":"2012","journal-title":"Opt. Express"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3012","DOI":"10.1364\/OE.15.003012","article-title":"Comparing two new camera calibration methods with traditional pinhole calibrations","volume":"15","author":"Lin","year":"2007","journal-title":"Opt. Express"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"18897","DOI":"10.1364\/OE.23.018897","article-title":"Vanishing feature constraints calibration method for binocular vision sensor","volume":"23","author":"Wei","year":"2008","journal-title":"Opt. Express"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"20241","DOI":"10.1364\/OE.16.020241","article-title":"Geometrical camera calibration with diffractive optical elements","volume":"16","author":"Bauer","year":"2008","journal-title":"Opt. Express"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"18164","DOI":"10.1364\/OE.19.018164","article-title":"Full-automatic self-calibration of color digital cameras using color targets","volume":"19","author":"Yilmazturk","year":"2011","journal-title":"Opt. Express"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"10769","DOI":"10.1364\/OE.19.010769","article-title":"Camera calibration under optimal conditions","volume":"19","year":"2011","journal-title":"Opt. Express"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"4770","DOI":"10.1364\/OL.36.004770","article-title":"Cross-diffractive optical elements for wide angle geometric camera calibration","volume":"36","author":"Simon","year":"2011","journal-title":"Opt. Lett."},{"key":"ref_18","unstructured":"Heikkila, J., and Silven, O. (1997, January 17\u201319). A four-step camera calibration procedure with implicit image correction. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Juan, Puerto Rico."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/BF00127171","article-title":"A theory of self-calibration of a moving camera","volume":"8","author":"Maybank","year":"1992","journal-title":"Int. J. Comput. Vis."},{"key":"ref_20","unstructured":"Faugeras, O.D., Luong, Q.T., and Maybank, S.J. (1992). Computer Vision ECCV\u201992, Springer."},{"key":"ref_21","unstructured":"Hartley, R.I. (1994). Applications of Invariance in Computer Vision, Springer."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1109\/70.481755","article-title":"A self-calibration technique for active vision system","volume":"12","author":"Song","year":"1996","journal-title":"IEEE Trans. Robot. Autom."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF00127813","article-title":"Using vanishing points for camera calibration","volume":"4","author":"Caprile","year":"1990","journal-title":"Int. J. Comput. Vis."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2676","DOI":"10.1364\/OE.19.002676","article-title":"Trimble Gx200 and Riegl LMS-Z390i sensor self-calibration","volume":"19","author":"Armesto","year":"2011","journal-title":"Opt. Express"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Gruen, A., and Huang, T.S. (2001). Calibration and Orientation of Cameras in Computer Vision, Springer.","DOI":"10.1007\/978-3-662-04567-1"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1014","DOI":"10.3390\/rs3051014","article-title":"A Comparison of Three Geometric Self-Calibration Methods for Range Cameras","volume":"3","author":"Lichti","year":"2011","journal-title":"Remote Sens."},{"key":"ref_27","unstructured":"Skala, V. (2010, January 1\u20134). Sparse bundle adjustment speedup strategies. WSCG Short Papers Post-Conference Proceedings, Proceedings of the 18th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision in Co-Operation with EUROGRAPHICS, Plzen, Czech Republic."},{"key":"ref_28","unstructured":"De Lussy, F., Greslou, D., Dechoz, C., Amberg, V., Delvit, J.M., Lebegue, L., Blanchet, G., and Fourest, S. (September, January 25). Pleiades HR in flight geometrical calibration: Localisation and mapping of the focalplane. Proceedings of the XXII ISPRS Congress International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Melbourne, Australia."},{"key":"ref_29","unstructured":"Fourest, S., Kubik, P., Lebegu, L., Dechoz, C., Lacherade, S., and Blanchet, G. (September, January 25). Star-based methods for Pleiades HR commissioning. Proceedings of the XXII ISPRS Congress International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Melbourne, Australia."},{"key":"ref_30","first-page":"1","article-title":"Pleiades-HR 1A&1B image quality commissioning: Innovative geometric calibration methods and results","volume":"8866","author":"Greslou","year":"2013","journal-title":"Proc. SPIE"},{"key":"ref_31","unstructured":"Delvit, J.M., Greslou, D., Amberg, V., Dechoz, C., de Lussy, F., Lebegue, L., Latry, C., Artigues, S., and Bernard, L. (September, January 25). Attitude assessment using Pl\u00e9iades-HR capabilities. Proceedings of the XXII ISPRS Congress International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Melbourne, Australia."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1117\/12.436997","article-title":"IKONOS Technical performance Assessment","volume":"4381","author":"Cook","year":"2001","journal-title":"Proc. SPIE"},{"key":"ref_33","first-page":"542","article-title":"Very high resolution optical satellites for DEM generation: A review","volume":"49","author":"Kaveh","year":"2011","journal-title":"Eur. J. Sci. Res."},{"key":"ref_34","first-page":"33","article-title":"Geometric calibration of space remote sensing cameras for efficient processing","volume":"32","author":"Jacobsen","year":"1998","journal-title":"Int. Arch. Photogramm. Remote Sens."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"4391","DOI":"10.3390\/rs6054391","article-title":"On-orbit geometric calibration model and its applications for high-resolution optical satellite imagery","volume":"6","author":"Mi","year":"2014","journal-title":"Remote Sens."},{"key":"ref_36","first-page":"309","article-title":"On-orbit calibration of interior orientation for HJ1B-CCD camera","volume":"26","author":"Xu","year":"2011","journal-title":"Remote Sens. Technol. Appl."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"6351","DOI":"10.1364\/AO.54.006351","article-title":"Autofocus method for scanning remote sensing camera","volume":"54","author":"Lv","year":"2015","journal-title":"Appl. Opt."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.1364\/OE.23.001829","article-title":"Tracking radiometric responsivity of optical sensors without on-board calibration systems-case of the Chinese HJ-1A\/1B CCD sensors","volume":"23","author":"Li","year":"2015","journal-title":"Opt. Express"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"6187","DOI":"10.1364\/OE.23.006187","article-title":"Efficient assessment method of on-board modulation transfer function of optical remote sensing sensors","volume":"23","author":"Li","year":"2015","journal-title":"Opt. Express"},{"key":"ref_40","unstructured":"Gleyzes, M.A., Perret, L., and Kubik, P. (September, January 25). Pleiades system architecture and main performances. Proceedings of the XXII ISPRS Congress International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Melbourne, Australia."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.isprsjprs.2014.04.007","article-title":"Radiometric and geometric evaluation of GeoEye-1, WorldView-2 and Pleiades stereo images for 3D information extraction","volume":"100","author":"Poli","year":"2015","journal-title":"ISPRS J. Photogramm. Remote Sens."},{"key":"ref_42","first-page":"62","article-title":"Study on geometric measurement methods for line-array stereo mapping camera","volume":"32","author":"Fu","year":"2011","journal-title":"Spacecr. Recover. Remote Sens."},{"key":"ref_43","unstructured":"Hieronymus, J. (September, January 25). Comparaision of methods for geometric camera calibration. Proceedings of the XXII ISPRS Congress International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Melbourne, Australia."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"012196","DOI":"10.1088\/1755-1315\/17\/1\/012196","article-title":"Laboratory geometric calibration of areal digital aerial camera","volume":"17","author":"Yuan","year":"2014","journal-title":"IOP Conf. Ser. Earth Enviton. Sci."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"369","DOI":"10.14358\/PERS.73.4.369","article-title":"A rigorous laboratory calibration method for interior orientation of airborne linear push-broom camera","volume":"73","author":"Chen","year":"2007","journal-title":"Photogramm. Eng. Remote Sens."},{"key":"ref_46","first-page":"1628","article-title":"Calibration of geometric parameters of line array CCD camera based on exact measuring angle in lab","volume":"15","author":"Wu","year":"2007","journal-title":"Opt. Precis. Eng."},{"key":"ref_47","first-page":"99","article-title":"Laboratory geometric calibration of non-metric digital camera","volume":"8921","author":"Yuan","year":"2013","journal-title":"Proc. SPIE"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/8\/1176\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:27:06Z","timestamp":1760210826000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/8\/1176"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,27]]},"references-count":47,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2016,8]]}},"alternative-id":["s16081176"],"URL":"https:\/\/doi.org\/10.3390\/s16081176","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7,27]]}}}