{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,15]],"date-time":"2026-10-15T06:44:43Z","timestamp":1792046683331,"version":"4.4.0"},"reference-count":28,"publisher":"IOP Publishing","issue":"19","license":[{"start":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T00:00:00Z","timestamp":1790726400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T00:00:00Z","timestamp":1790726400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Phys. Med. Biol."],"published-print":{"date-parts":[[2026,10,14]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    <jats:italic>Objective.<\/jats:italic>\n                    Computed tomography (CT) field-of-view (FOV) truncation leaves peripheral anatomy entirely absent, introducing systematic errors in radiotherapy dose calculation and body-composition analysis. Existing methods either rely on unavailable raw projection data or suffer from over-smoothing and hallucination under severe truncation.\n                    <jats:italic>Approach.<\/jats:italic>\n                    We propose the self-cascade latent Schr\u00f6dinger bridge (SCL-SB), combining a latent image-to-image Schr\u00f6dinger bridge (I\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msup>\n                            <mml:mi\/>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:msup>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    SB) with a self-cascade mechanism in a single shared-weight U-Net. I\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msup>\n                            <mml:mi\/>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:msup>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    SB constructs a diffusion bridge from the truncated-image distribution to the full-FOV distribution, enabling high-quality reconstruction in ten denoising steps (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:mo>\u2248<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:mn>29<\/mml:mn>\n                          <mml:mo>\u00d7<\/mml:mo>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    faster than a 100-step denoising diffusion implicit model baseline). The self-cascade mechanism runs two sequential rounds sharing identical weights: the first produces an initial extrapolation; the second refines it using the first-round output as a hint. A frequency-aware residual mechanism amplifies gradient contributions at high-frequency inter-round residuals to stabilise cascade training and recover anatomically faithful detail.The truncation radius is sampled from a stratified distribution spanning mild to severe truncation during training, enabling a single model to cover the full severity spectrum without radius-specific fine-tuning.\n                    <jats:italic>Main results.<\/jats:italic>\n                    On a head-to-chest CT dataset spanning three truncation severities, SCL-SB, trained as a single model without radius-specific tuning, achieves the highest structural similarity index measure (SSIM) and a high-frequency ratio (HF-Ratio) closest to ideal among all compared methods at every severity, running nearly\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mn>9<\/mml:mn>\n                          <mml:mo>\u00d7<\/mml:mo>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    faster than the latest vision transformer-based baseline. Ablation shows that cascade training alone already improves the first round\u2019s output without running the second round at inference, an effect we term cascade implicit enhancement. Relative to the same architecture trained without cascade (I\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msup>\n                            <mml:mi\/>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:msup>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    SB), the model recovers more high-frequency anatomical detail (HF-Ratio\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mo>+<\/mml:mo>\n                          <mml:mn>45.3<\/mml:mn>\n                          <mml:mi mathvariant=\"normal\">%<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) and achieves a higher SSIM by\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mn>0.076<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mn>9.0<\/mml:mn>\n                          <mml:mi mathvariant=\"normal\">%<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) at severe truncation, at no additional inference cost.\n                    <jats:italic>Significance.<\/jats:italic>\n                    SCL-SB addresses the posterior-mean regression that blurs high-frequency anatomical detail in ill-posed FOV extrapolation, produces spatially continuous Hounsfield unit reconstructions free of the patch-boundary discontinuities introduced by Vision-transformer-based architectures, and avoids the spectral hallucination characteristic of generative adversarial network-based methods. Although downstream clinical validation on larger, multi-centre cohorts remains necessary, these properties can potentially improve image guidance in clinical applications such as adaptive radiotherapy, body-composition assessment, and spine surgery.\n                  <\/jats:p>","DOI":"10.1088\/1361-6560\/aea5d0","type":"journal-article","created":{"date-parts":[[2026,9,10]],"date-time":"2026-09-10T22:53:59Z","timestamp":1789080839000},"page":"195012","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Self-cascade latent Schr\u00f6dinger bridge for CT field-of-view extension"],"prefix":"10.1088","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-8874-5649","authenticated-orcid":true,"given":"Xihao","family":"Wu","sequence":"first","affiliation":[{"name":"Peking University Health Science Center"},{"name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"data-curation","vocabulary":"credit"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"methodology","vocabulary":"credit"},{"role":"software","vocabulary":"credit"},{"role":"validation","vocabulary":"credit"},{"role":"visualization","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-8850-1102","authenticated-orcid":false,"given":"Jiacheng","family":"Liu","sequence":"additional","affiliation":[{"name":"Beihang University"},{"name":"Peking University Cancer Hospital & Institute"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"data-curation","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1596-7962","authenticated-orcid":false,"given":"Haijun","family":"Yu","sequence":"additional","affiliation":[{"name":"Peking University Health Science Center"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"validation","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9550-5284","authenticated-orcid":true,"given":"Andreas","family":"Maier","sequence":"additional","affiliation":[{"name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"project-administration","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2627-3077","authenticated-orcid":true,"given":"Yixing","family":"Huang","sequence":"additional","affiliation":[{"name":"Peking University Health Science Center"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"project-administration","vocabulary":"credit"},{"role":"resources","vocabulary":"credit"},{"role":"supervision","vocabulary":"credit"},{"role":"writing-review-editing","vocabulary":"credit"}]}],"member":"266","published-online":{"date-parts":[[2026,9,30]]},"reference":[{"key":"pmbaea5d0bib1","doi-asserted-by":"publisher","first-page":"1798","DOI":"10.1109\/TPAMI.2013.50","type":"journal-article","article-title":"Representation learning: a review and new perspectives","volume":"35","author":"Bengio","year":"2013","journal-title":"IEEE Trans. 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