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One of the reasons for this is the computational requirements of model-based iterative algorithms, as it can take hundreds of iterations to obtain converged images. In this work, we present a measurement space-based preconditioner applied to the primal-dual hybrid gradient (PDHG) algorithm. The method is compared with the regular PDHG, FISTA, and OS-SART algorithms, as well as to a PDHG algorithm where the step-size parameters are adaptively computed. All tested algorithms utilize subsets for acceleration. The presented filtering-based preconditioner can obtain convergence in 10 iterations with 20 subsets, compared to a hundred or more iterations required by the other tested methods. The presented method is also computationally fast and has only a 15% increase in computation time per iteration compared to PDHG without the preconditioner.<\/jats:p>","DOI":"10.1007\/s10851-025-01276-4","type":"journal-article","created":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T19:01:34Z","timestamp":1764442894000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Filtering-Based Preconditioner for Accelerated High-Dimensional Cone-Beam CT Image Reconstruction"],"prefix":"10.1007","volume":"67","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4427-9109","authenticated-orcid":false,"given":"Ville-Veikko","family":"Wettenhovi","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1944-423X","authenticated-orcid":false,"given":"Ari","family":"Hietanen","sequence":"additional","affiliation":[]},{"given":"Kati","family":"Niinim\u00e4ki","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6454-8524","authenticated-orcid":false,"given":"Marko","family":"Vauhkonen","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5621-795X","authenticated-orcid":false,"given":"Ville","family":"Kolehmainen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,11,29]]},"reference":[{"issue":"1","key":"1276_CR1","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1111\/iej.12270","volume":"48","author":"S Patel","year":"2014","unstructured":"Patel, S., Durack, C., Abella, F., Shemesh, H., Roig, M., Lemberg, K.: Cone beam computed tomography in endodontics - a review. 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