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A critical initial step in this pipeline is to select one stack with the minimum motion among all input stacks as a reference for registration. An accurate and unbiased motion assessment (MA) is thus crucial for successful selection. Here, we presented an MA method that determines the minimum motion stack based on 3D low\u2010rank approximation using CANDECOMP\/PARAFAC (CP) decomposition. Compared to the current 2D singular value decomposition (SVD) based method that requires flattening stacks into matrices to obtain ranks, in which the spatial information is lost, the CP\u2010based method can factorize 3D stack into low\u2010rank and sparse components in a computationally efficient manner. The difference between the original stack and its low\u2010rank approximation was proposed as the motion indicator. Experiments on linearly and randomly simulated motion illustrated that CP demonstrated higher sensitivity in detecting small motion with a lower baseline bias, and achieved a higher assessment accuracy of 95.45% in identifying the minimum motion stack, compared to the SVD\u2010based method with 58.18%. CP also showed superior motion assessment capabilities in real\u2010data evaluations. Additionally, combining CP with the existing SRR\u2010SVR pipeline significantly improved 3D volume reconstruction. The results indicated that our proposed CP showed superior performance compared to SVD\u2010based methods with higher sensitivity to motion, assessment accuracy, and lower baseline bias, and can be used as a prior step to improve fetal brain reconstruction.<\/jats:p>","DOI":"10.1002\/nbm.5248","type":"journal-article","created":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T21:33:51Z","timestamp":1725485631000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A motion assessment method for reference stack selection in fetal brain MRI reconstruction based on tensor rank approximation"],"prefix":"10.1002","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7555-9381","authenticated-orcid":false,"given":"Haoan","family":"Xu","sequence":"first","affiliation":[{"name":"Key Laboratory for Biomedical Engineering of Ministry of Education, Department of Biomedical Engineering, College of Biomedical 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