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To ensure accurate stitching, hand\u2013eye calibration is necessary. However, 3D cameras often demonstrate low precision in measuring jumping edges and vertices, resulting in challenges when selecting appropriate calibrators and calibration methods for hand\u2013eye calibration. We propose a simple and high\u2010precision hand\u2013eye calibration method for 3D robot measurement systems. Initially, a single sphere is utilized as the calibrator, and its poses are observed using specific robotic motions. Subsequently, the hand\u2013eye calibration problem is formulated as a well\u2010known equation, , relying solely on the high\u2010precision relative pose of the robot. Finally, a novel simultaneous solution for  and the corresponding closed\u2010form initial solution are introduced. Simulations and experiments confirm that the proposed method exhibits high noise resistance and achieves high\u2010precision calibration, even with a limited calibration data quantity. Compared with traditional methods, the fitting error of the proposed method can be reduced from over 0.9\u2009mm to less than 0.6\u2009mm.<\/jats:p>","DOI":"10.1002\/aisy.202300307","type":"journal-article","created":{"date-parts":[[2023,9,22]],"date-time":"2023-09-22T23:06:16Z","timestamp":1695423976000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Simple and High\u2010Precision Hand\u2013Eye Calibration for 3D Robot Measurement Systems"],"prefix":"10.1002","volume":"5","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-0663-9560","authenticated-orcid":false,"given":"Lei","family":"Wu","sequence":"first","affiliation":[{"name":"State Key Laboratory of Robotics and Systems Harbin Institute of Technology  Harbin 150001 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xizhe","family":"Zang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and Systems Harbin Institute of Technology  Harbin 150001 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Minghao","family":"Bai","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and Systems Harbin Institute of Technology  Harbin 150001 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuehe","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and Systems Harbin Institute of Technology  Harbin 150001 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yubin","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and Systems Harbin Institute of Technology  Harbin 150001 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Zhao","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and Systems Harbin Institute of Technology  Harbin 150001 China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2023,9,22]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.rcim.2021.102279"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2021.3063186"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/aisy.202100095"},{"key":"e_1_2_9_5_1","first-page":"7003013","volume":"72","author":"Tang Y.","year":"2023","journal-title":"IEEE Trans. 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