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This work provides a fundamental study of the structure of ultrasound images using simulations, phantoms, and in vivo cardiac data to quantify tensor rank and spatial\/temporal roughness and explores the implications for tensor completion algorithms. Although low-rank reconstruction is a powerful approach that has been previously applied in this context, these data do not appear to be sufficiently low-rank for high-quality reconstructions. Two methods relying on local information\u2014inverse distance-weighted (IDW) interpolation and the fast multiway delay-embedding transform\u2014demonstrate significantly more accurate reconstruction (e.g., structured similarity index measure 0.76 vs 0.67 at 25% sampling and 0.63 vs 0.38 at 10% sampling for IDW versus low-rank reconstruction). Roughness in both space and time is shown to inversely correlate with tensor completion success. Motion compensation is shown to reduce both temporal roughness and rank, improving tensor completion.<\/jats:p>","DOI":"10.1121\/10.0044876","type":"journal-article","created":{"date-parts":[[2026,8,13]],"date-time":"2026-08-13T13:03:32Z","timestamp":1786626212000},"page":"1485-1501","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Spatiotemporal tensor reconstruction for echocardiography: Effects of multidimensional structure and motion"],"prefix":"10.1121","volume":"160","author":[{"given":"Joshua","family":"Fry","sequence":"first","affiliation":[{"name":"Biomedical Engineering, University of Colorado Boulder 1 , Boulder, Colorado 80309,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-5892-8490","authenticated-orcid":false,"given":"Nazli","family":"Javadi Eshkalak","sequence":"additional","affiliation":[{"name":"Paul M. Rady Department of Mechanical Engineering, University of Colorado Boulder 2 , Boulder, Colorado 80309,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1932-8159","authenticated-orcid":false,"given":"Stephen","family":"Becker","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University of Colorado Boulder 3 , Boulder, Colorado 80309,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4080-2310","authenticated-orcid":false,"given":"Nick","family":"Bottenus","sequence":"additional","affiliation":[{"name":"Biomedical Engineering, University of Colorado Boulder 1 , Boulder, Colorado 80309,","place":["USA"]},{"name":"Paul M. 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