{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T05:41:06Z","timestamp":1778823666554,"version":"3.51.4"},"reference-count":50,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2018,1,6]],"date-time":"2018-01-06T00:00:00Z","timestamp":1515196800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Imaging"],"abstract":"<jats:p>C-arm cone-beam computed tomography (CBCT) has been used recently to acquire images of the human knee joint under weight-bearing conditions to assess knee joint health under load. However, involuntary patient motion during image acquisition leads to severe motion artifacts in the subsequent reconstructions. The state-of-the-art uses fiducial markers placed on the patient\u2019s knee to compensate for the induced motion artifacts. The placement of markers is time consuming, tedious, and requires user experience, to guarantee reliable motion estimates. To overcome these drawbacks, we recently investigated whether range imaging would allow to track, estimate, and compensate for patient motion using a range camera. We argue that the dense surface information observed by the camera could reveal more information than only a few surface points of the marker-based method. However, the integration of range-imaging with CBCT involves flexibility, such as where to position the camera and what algorithm to align the data with. In this work, three dimensional rigid body motion is estimated for synthetic data acquired with two different range camera trajectories: a static position on the ground and a dynamic position on the C-arm. Motion estimation is evaluated using two different types of point cloud registration algorithms: a pair wise Iterative Closest Point algorithm as well as a probabilistic group wise method. We compare the reconstruction results and the estimated motion signals with the ground truth and the current reference standard, a marker-based approach. To this end, we qualitatively and quantitatively assess image quality. The latter is evaluated using the Structural Similarity (SSIM). We achieved results comparable to the marker-based approach, which highlights the potential of both point set registration methods, for accurately recovering patient motion. The SSIM improved from 0.94 to 0.99 and 0.97 using the static and the dynamic camera trajectory, respectively. Accurate recovery of patient motion resulted in remarkable reduction in motion artifacts in the CBCT reconstructions, which is promising for future work with real data.<\/jats:p>","DOI":"10.3390\/jimaging4010013","type":"journal-article","created":{"date-parts":[[2018,1,8]],"date-time":"2018-01-08T12:26:02Z","timestamp":1515414362000},"page":"13","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Range Imaging for Motion Compensation in C-Arm Cone-Beam CT of Knees under Weight-Bearing Conditions"],"prefix":"10.3390","volume":"4","author":[{"given":"Bastian","family":"Bier","sequence":"first","affiliation":[{"name":"Pattern Recognition Lab, Department of Computer Science, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, 91052 Erlangen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nishant","family":"Ravikumar","sequence":"additional","affiliation":[{"name":"Pattern Recognition Lab, Department of Computer Science, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, 91052 Erlangen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0055-9950","authenticated-orcid":false,"given":"Mathias","family":"Unberath","sequence":"additional","affiliation":[{"name":"Pattern Recognition Lab, Department of Computer Science, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, 91052 Erlangen, Germany"},{"name":"Erlangen Graduate School in Advanced Optical Technologies (SAOT), 91052 Erlangen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc","family":"Levenston","sequence":"additional","affiliation":[{"name":"Radiological Sciences Laboratory, Stanford University, Stanford, CA 94305, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Garry","family":"Gold","sequence":"additional","affiliation":[{"name":"Radiological Sciences Laboratory, Stanford University, Stanford, CA 94305, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rebecca","family":"Fahrig","sequence":"additional","affiliation":[{"name":"Radiological Sciences Laboratory, Stanford University, Stanford, CA 94305, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9550-5284","authenticated-orcid":false,"given":"Andreas","family":"Maier","sequence":"additional","affiliation":[{"name":"Pattern Recognition Lab, Department of Computer Science, Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg, 91052 Erlangen, Germany"},{"name":"Erlangen Graduate School in Advanced Optical Technologies (SAOT), 91052 Erlangen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,1,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"061902","DOI":"10.1118\/1.4873675","article-title":"Fiducial marker-based correction for involuntary motion in weight-bearing C-arm CT scanning of knees. II. Experiment","volume":"41","author":"Choi","year":"2014","journal-title":"Med. Phys."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"816","DOI":"10.1148\/radiol.13130225","article-title":"Dedicated cone-beam CT system for extremity imaging","volume":"270","author":"Carrino","year":"2014","journal-title":"Radiology"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"677","DOI":"10.2519\/jospt.2003.33.11.677","article-title":"Knee Extension in Persons With Lateral Subluxation of the Patella: A Preliminary Study","volume":"33","author":"Powers","year":"2013","journal-title":"J. Orthop. Sports Phys. Ther."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"796123","DOI":"10.1117\/12.878502","article-title":"Analysis of vertical and horizontal circular C-arm trajectories","volume":"7961","author":"Maier","year":"2011","journal-title":"Proc. SPIE Med. Imaging"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"97830L","DOI":"10.1117\/12.2217347","article-title":"Over-exposure correction in knee cone-beam CT imaging with automatic exposure control using a partial low dose scan","volume":"9783","author":"Choi","year":"2016","journal-title":"Proc. SPIE Med. Imaging"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"4700","DOI":"10.1118\/1.3611039","article-title":"A dedicated cone-beam CT system for musculoskeletal extremities imaging: Design, optimization, and initial performance characterization","volume":"38","author":"Zbijewski","year":"2011","journal-title":"Med. Phys."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2718","DOI":"10.1118\/1.4915542","article-title":"Dynamic detector offsets for field of view extension in C-arm computed tomography with application to weight-bearing imaging","volume":"42","author":"Herbst","year":"2015","journal-title":"Med. Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1515\/jib-2017-0015","article-title":"Comparison of Different Approaches for Measuring Tibial Cartilage Thickness","volume":"14","author":"Maier","year":"2017","journal-title":"J. Integr. Bioinform."},{"key":"ref_9","unstructured":"Siemens Healthcare GmbH (2018, January 05). Siemens SOMATOM Definition Flash Brochure. Available online: https:\/\/static.healthcare.siemens.com\/siemens_hwem-hwem_ssxa_websites-context-root\/wcm\/idc\/groups\/public\/@global\/@imaging\/@ct\/documents\/download\/mdaw\/mzcz\/~edisp\/ct_ws_somatom_definition_flash_international-00292513.pdf."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"e113","DOI":"10.1002\/mp.12021","article-title":"Consistency-based respiratory motion estimation in rotational angiography","volume":"44","author":"Unberath","year":"2017","journal-title":"Med. Phys."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1176","DOI":"10.1118\/1.1869074","article-title":"Respiratory correlated cone beam CT","volume":"32","author":"Sonke","year":"2005","journal-title":"Med. Phys."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3807","DOI":"10.1088\/0031-9155\/53\/14\/007","article-title":"Projection-based motion compensation for gated coronary artery reconstruction from rotational X-ray angiograms","volume":"53","author":"Hansis","year":"2008","journal-title":"Phys. Med. Biol."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2613","DOI":"10.1088\/0031-9155\/61\/7\/2613","article-title":"Self-calibration of cone-beam CT geometry using 3D\u20132D image registration","volume":"61","author":"Ouadah","year":"2016","journal-title":"Phys. Med. Biol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"061902","DOI":"10.1118\/1.4873675","article-title":"Fiducial marker-based correction for involuntary motion in weight-bearing C-arm CT scanning of knees. Part I. Numerical model-based optimization","volume":"41","author":"Choi","year":"2014","journal-title":"Med. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Berger, M., Forman, C., Schwemmer, C., Choi, J.H., M\u00fcller, K., Maier, A., Hornegger, J., and Fahrig, R. (2014). Automatic Removal of Externally Attached Fiducial Markers in Cone Beam C-arm CT. Bildverarbeitung f\u00fcr die Medizin, Springer.","DOI":"10.1007\/978-3-642-54111-7_59"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"M\u00fcller, K., Berger, M., Choi, J., Maier, A., and Fahrig, R. (2015, January 7\u201312). Automatic Motion Estimation and Compensation Framework for Weight-bearing C-arm CT scans using Fiducial Markers. Proceedings of the World Congress on Medical Physics and Biomedical Engineering, Toronto, ON, Canada.","DOI":"10.1007\/978-3-319-19387-8_15"},{"key":"ref_17","unstructured":"M\u00fcller, K., Berger, M., Choi, J.h., Datta, S., Gehrisch, S., Moore, T., Marks, M.P., Maier, A.K., and Fahrig, R. (2015, January 1\u20134). Fully Automatic Head Motion Correction for Interventional C-arm Systems using Fiducial Markers. Proceedings of the 13th Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, Newport, RI, USA."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Syben, C., Bier, B., Berger, M., Aichert, A., Fahrig, R., Gold, G., Levenston, M., and Maier, A. (2017, January 18\u201321). Joint Calibration and Motion Estimation in Weight-Bearing Cone-Beam CT of the Knee Joint Using Fiducial Markers. Proceedings of the 2017 IEEE 14th International Symposium on Biomedical Imaging (ISBI 2017), Melbourne, Australia.","DOI":"10.1109\/ISBI.2017.7950568"},{"key":"ref_19","first-page":"94130D","article-title":"Image-based compensation for involuntary motion in weight-bearing C-arm cone-beam CT scanning of knees","volume":"9413","author":"Unberath","year":"2015","journal-title":"Proc. SPIE Med. Imaging"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3712","DOI":"10.1088\/1361-6560\/aa6869","article-title":"Motion compensation in extremity cone-beam CT using a penalized image sharpness criterion","volume":"62","author":"Sisniega","year":"2017","journal-title":"Phys. Med. Biol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1235","DOI":"10.1118\/1.4941012","article-title":"Marker-free motion correction in weight-bearing cone-beam CT of the knee joint","volume":"43","author":"Berger","year":"2016","journal-title":"Med. Phys."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Aichert, A., Wang, J., Schaffert, R., D\u00f6rfler, A., Hornegger, J., and Maier, A. (2015). Epipolar Consistency in Fluoroscopy for Image-Based Tracking. Proc. BMVC, 82.1\u201382.10.","DOI":"10.5244\/C.29.82"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"7181","DOI":"10.1088\/1361-6560\/aa8129","article-title":"Motion compensation for cone-beam CT using Fourier consistency conditions","volume":"62","author":"Berger","year":"2017","journal-title":"Phys. Med. Biol."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Bier, B., Aichert, A., Felsner, L., Unberath, M., Levenston, M., Gold, G., Fahrig, R., and Maier, A. (2017). Epipolar Consistency Conditions for Motion Correction in Weight-Bearing Imaging. Bildverarbeitung f\u00fcr Die Medizin, Springer.","DOI":"10.1007\/978-3-662-54345-0_47"},{"key":"ref_25","first-page":"228","article-title":"Real-Time Range Imaging in Health Care: A Survey","volume":"Volume 8200","author":"Bauer","year":"2013","journal-title":"Time-of-Flight and Depth Imaging. Sensors, Algorithms, and Applications"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1007","DOI":"10.1007\/s11548-016-1363-x","article-title":"Preclinical usability study of multiple augmented reality concepts for K-wire placement","volume":"11","author":"Fischer","year":"2016","journal-title":"Int. J. Comput. Assist. Radiol. Surg."},{"key":"ref_27","unstructured":"Navab, N., Bani-Kashemi, A., and Mitschke, M. (1999, January 20\u201321). Merging visible and invisible: Two Camera-Augmented Mobile C-arm (CAMC) applications. Proceedings of the 2nd IEEE and ACM International Workshop on Augmented Reality, San Francisco, CA, USA."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1913","DOI":"10.1118\/1.3117592","article-title":"A flexible multicamera visual-tracking system for detecting and correcting motion-induced artifacts in cardiac SPECT slices","volume":"36","author":"McNamara","year":"2009","journal-title":"Med. Phys."},{"key":"ref_29","unstructured":"Geimer, T., Unberath, M., Taubmann, O., Bert, C., and Maier, A. (2016, January 21\u201325). Combination of Markerless Surrogates for Motion Estimation in Radiation Therapy. Proceedings of the Computer Assisted Radiology and Surgery (CARS) 2016: 30th International Congress and Exhibition, Heidelberg, Germany."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1007\/s11548-017-1572-y","article-title":"Can real-time RGBD enhance intraoperative Cone-Beam CT?","volume":"12","author":"Fotouhi","year":"2017","journal-title":"Int. J. Comput. Assist. Radiol. Surg."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Bier, B., Unberath, M., Geimer, T., Maier, J., Gold, G., Levenston, M., Fahrig, R., and Maier, A. (2017, January 11\u201313). Motion Compensation Using Range Imaging in C-Arm Cone-Beam CT. Proceedings of the Annual Conference on Medical Image Understanding and Analysis, Edinburgh, UK.","DOI":"10.3390\/jimaging4010013"},{"key":"ref_32","unstructured":"Bellekens, B., Spruyt, V., and Weyn, M. (2014, January 24\u201328). A Survey of Rigid 3D Pointcloud Registration Algorithms. Proceedings of the AMBIENT 2014, The Fourth International Conference on Ambient Computing, Applications, Services and Technologies, Rome, Italy."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Ravikumar, N., Gooya, A., Frangi, A.F., and Taylor, Z.A. (2017, January 10\u201314). Generalised Coherent Point Drift for Group-Wise Registration of Multi-dimensional Point Sets. Proceedings of the International Conference on Medical Image Computing and Computer-Assisted Intervention, Quebec City, QC, Canada.","DOI":"10.1007\/978-3-319-66182-7_36"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Habert, S., Gardiazabal, J., Fallavollita, P., and Navab, N. (October, January 29). RGBDX: First design and experimental validation of a mirror-based RGBD X-ray imaging system. Proceedings of the 2015 IEEE International Symposium on Mixed and Augmented Reality, Fukuoka, Japan.","DOI":"10.1109\/ISMAR.2015.17"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Zeng, G.L. (2010). Medical Image Reconstruction: A Conceptual Tutorial, Springer.","DOI":"10.1007\/978-3-642-05368-9"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"943","DOI":"10.1117\/12.479945","article-title":"Improving 3D Image Quality of X-ray C-Arm Imaging Systems by Using Properly Designed Pose Determination Systems for Calibrating the Projection Geometry","volume":"5030","author":"Strobel","year":"2003","journal-title":"Proc. SPIE Med. Imaging"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Hartley, R.I., and Zisserman, A. (2004). Multiple View Geometry in Computer Vision, Cambridge University Press. [2nd ed.].","DOI":"10.1017\/CBO9780511811685"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Wasenm\u00fcller, O., and Stricker, D. (2016, January 20\u201324). Comparison of Kinect v1 and v2 Depth Images in Terms of Accuracy and Precision. Proceedings of the Asian Conference on Computer Vision, Taipei, Taiwan.","DOI":"10.1007\/978-3-319-54427-4_3"},{"key":"ref_39","first-page":"27","article-title":"A Comparative Error Analysis of Current Time-of-Flight Sensors","volume":"2","author":"Peter","year":"2015","journal-title":"IEEE Trans. Comput. Imaging"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"111914","DOI":"10.1118\/1.4824926","article-title":"CONRAD\u2014A software framework for cone-beam imaging in radiology","volume":"40","author":"Maier","year":"2013","journal-title":"Med. Phys."},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Ravikumar, N., Gooya, A., \u00c7imen, S., Frangi, A.F., and Taylor, Z.A. (2016, January 10\u201314). A multi-resolution t-mixture model approach to robust group-wise alignment of shapes. Proceedings of the International Conference on Medical Image Computing and Computer-Assisted Intervention, Quebec City, QC, Canada.","DOI":"10.1007\/978-3-319-46726-9_17"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1364\/JOSAA.1.000612","article-title":"Practical cone-beam algorithm","volume":"1","author":"Feldkamp","year":"1984","journal-title":"J. Opt. Soc. Am. A"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"4902","DOI":"10.1118\/1.3480985","article-title":"4D XCAT phantom for multimodality imaging research","volume":"37","author":"Segars","year":"2010","journal-title":"Med. Phys."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TIP.2003.819861","article-title":"Image quality assessment: From error visibility to structural similarity","volume":"13","author":"Wang","year":"2004","journal-title":"IEEE Trans. Image Process."},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Stefan Klein and Marius Staring and Keelin Murphy and Max A (2010). Viergever and Josien P.W. Pluim. elastix: A toolbox for intensity-based medical image registration. IEEE Trans. Med. Imaging, 29, 196\u2013205.","DOI":"10.1109\/TMI.2009.2035616"},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Rausch, J., Maier, A., Fahrig, R., Choi, J.H., Hinshaw, W., Schebesch, F., Haase, S., Wasza, J., Hornegger, J., and Riess, C. (2016). Kinect-based correction of overexposure artifacts in knee imaging with C-Arm CT systems. Int. J. Biomed. Imaging, 2016.","DOI":"10.1155\/2016\/2502486"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"967","DOI":"10.1007\/s11548-016-1396-1","article-title":"Calibration of RGBD camera and cone-beam CT for 3D intra-operative mixed reality visualization","volume":"11","author":"Chun","year":"2016","journal-title":"Int. J. Comput. Assist. Radiol. Surg."},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Endres, F., Hess, J., Engelhard, N., Sturm, J., Cremers, D., and Burgard, W. (2012, January 14\u201318). An evaluation of the RGB-D SLAM system. Proceedings of the 2012 IEEE International Conference on Robotics and Automation, Saint Paul, MN, USA.","DOI":"10.1109\/ICRA.2012.6225199"},{"key":"ref_49","unstructured":"Bier, B., Unberath, M., Geimer, T., Ravikumar, N., Gold, G., Fahrig, R., and Maier, A. (2017, January 21\u201328). Fusing Motion Estimates for CBCT reconstruction. Proceedings of the 2017 IEEE Nuclear Science Symposium and Medical Imaging Conference (IEEE NSS\/MIC 2017), Atlanta, GA, USA."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"23451","DOI":"10.1364\/OE.25.023451","article-title":"Single-shot 3D motion picture camera with a dense point cloud","volume":"25","author":"Willomitzer","year":"2017","journal-title":"Opt. Express"}],"container-title":["Journal of Imaging"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2313-433X\/4\/1\/13\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:50:19Z","timestamp":1760194219000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2313-433X\/4\/1\/13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1,6]]},"references-count":50,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2018,1]]}},"alternative-id":["jimaging4010013"],"URL":"https:\/\/doi.org\/10.3390\/jimaging4010013","relation":{},"ISSN":["2313-433X"],"issn-type":[{"value":"2313-433X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1,6]]}}}