Abstract
One important technique of surgical navigation is surface registration that matches coordinates in two different spaces. We proposed a novel method to extract an optimal point cloud in image space corresponding to the point cloud in patient space to improve the registration accuracy. In the hemispherical study, our proposed method demonstrated a reduced surface registration error (SRE) and target registration error (TRE) compared to the conventional method in all cases (number of points, distribution, noise). In the phantom study, the SRE and TRE were low and stable in the proposed method, with SRE reduced by 22 % and TRE by 18 % (p < 0.05). The proposed method was not affected by the number of points, distribution, or noise in the point cloud, and it could improve the registration accuracy without the aid of additional equipment.
Similar content being viewed by others
Abbreviations
- R :
-
Rotation matrix
- T :
-
Translation matrix
- s:
-
Point cloud in the patient space
- c:
-
Point cloud in the image space
- a :
-
Weighting factor
- P* :
-
Projected point
- P :
-
Projecting point
- t :
-
Projection distance
- np :
-
Projection vector
- c :
-
Sum of weighting factor
- r :
-
Radial distance
- θ:
-
Polar angled
- φ:
-
Azimuthal angle
References
A. Raabe, R. Krishnan, R. Wolff, E. Hermann, M. Zimmermann and V. Seifert, Laser surface scanning for patient registration in intracranial image-guided surgery, Neurosurgery, 50 (4) (2002) 797–803.
G. Eggers, J. Muhling and R. Marmulla, Image-to-patient registration techniques in head surgery, International journal of Oral and Maxillofacial Surgery, 35 (12) (2006) 1081–1095.
A. L. Simpson, J. Burgner, C. L. Glisson, S. D. Herrell, B. Ma, T. S. Pheiffer, R. J. Webster and M. I. Miga, Comparison study of intraoperative surface acquisition methods for surgical navigation, IEEE Transactions on Biomedical Engineering, 60 (4) (2012) 1090–1099.
I. Azarmehr, K. Stokbro, R. B. Bell and T. Thygesen, Surgical navigation: A systematic review of indications, treatments, and outcomes in oral and maxillofacial surgery, Journal of Oral and Maxillofacial Surgery, 75 (9) (2017) 1987–2005.
H. Yoo, A. Choi, H. Kim and J. H. Mun, A novel surface registration for image-guided neurosurgery: Effects of intervals of points in patient space on registration accuracy, Journal of Medical Imaging and Health Informatics, 10 (6) (2020) 1466–1472.
M. N. Wang and Z. J. Song, Classification and analysis of the errors in neuronavigation, Neurosurgery, 68 (4) (2011) 1131–1143.
M. N. Wang and Z. J. Song, Properties of the target registration error for surface matching in neuronavigation, Computer Aided Surgery, 16 (4) (2011) 161–169.
G. Zheng, J. Kowal, M. A. G. Ballester, M. Caversaccio and L. P. Nolte, (i) Registration techniques for computer navigation, Current Orthopaedics, 21 (3) (2007) 170–179.
A. Mert, L. S. Gan, E. Knosp, G. R. Sutherland and S. Wolfsberger, Advanced cranial navigation, Neurosurgery, 72 (1) (2013) A43–A53.
G. Wdmann, R. Stoffner and R. Bale, Errors and error management in image-guided craniomaxillofacial surgery, Oral Surgery, Oral Medicine, Oral Pathology, Oral Radiology, and Endodontology, 107 (5) (2009) 701–715.
Y. Fan, D. Jiang, M. Wang and Z. Song, A new markerless patient-to-image registration method using a portable 3D scanner, Medical Physics, 41 (10) (2014) 101910.
R. R. Shamir, M. Freiman, L. Joskowicz, S. Spektor and Y. Shoshan, Surface-based facial scan registration in neuronavigation procedures: A clinical study, Journal of Neurosurgery, 111 (6) (2009) 1201–1206.
R. R. Shamir, L. Joskowicz, S. Spektor and Y. Shoshan, Localization and registration accuracy in image guided neurosurgery: A clinical study, International Journal of Computer Assisted Radiology and Surgery, 4 (1) (2009) 45–52.
R. R. Shamir, L. Joskowicz and Y. Shoshan, Fiducial optimization for minimal target registration error in image-guided neurosurgery, IEEE Transactions on Medical Imaging, 31 (3) (2011) 725–737.
A. I. Omara, M. Wang, Y. Fan and Z. Song, Anatomical landmarks for point-matching registration in image-guided neurosurgery, The International Journal of Medical Robotics and Computer Assisted Surgery, 10 (1) (2014) 55–64.
J. D. Lee, C. H. Huang, S. T. Wang, C. W. Lin and S. T. Lee, Fast-MICP for frameless image-guided surgery, Medical Physics, 37 (9) (2010) 4551–4559.
P. A. Woerdeman, P. W. Willems, H. J. Noordmans, C. A. Tulleken and J. W. B. van der Sprenkel, Application accuracy in frameless image-guided neurosurgery: A comparison study of three patient-to-image registration methods, Journal of Neurosurgery, 106 (6) (2007) 1012–1016.
J. Schlaier, J. Warnat and A. Brawanski, Registration accuracy and practicability of laser-directed surface matching, Computer Aided Surgery, 7 (5) (2002) 284–290.
O. Makiese, P. Pillai, A. Salma, S. Sammet and M. Ammirati, Accuracy validation in a cadaver model of cranial neuronaviga-tion using a surface autoregistration mask, Operative Neurosurgery, 67 (3) (2010) ons85-ons90.
Y. Liu, Z. Song and M. Wang, A new robust markerless method for automatic image-to-patient registration in image-guided neurosurgery system, Computer Assisted Surgery, 22 (1) (2017) 319–325.
M. Wang and Z. Song, Optimal number and distribution of points selected on the vertebra for surface matching in CT-based spinal navigation, Computer Aided Surgery, 18 (3-4) (2013) 93–100.
R. Marmulla, T. Ltith, J. Muhling and S. Hassfeld, Automated laser registration in image-guided surgery: Evaluation of the correlation between laser scan resolution and navigation accuracy, International Journal of Oral and Maxillofacial Surgery, 33 (7) (2004) 642–648.
J. D. Lee, S. S. Hsieh, C. H. Huang, L. C. Liu, C. T. Wu, S. T. Lee and J. F. Chen, An adaptive ICP registration for facial point data, 18th International Conference on Pattern Recognition (ICPR’06), 4 (2006) 703–706.
J. D. Lee, C. H. Huang, L. C. Liu, S. T. Lee, S. S. Hsieh and S. P. Wang, A modified soft-shape-context ICP registration system of 3-D point data, IEICE Transactions on Information and Systems, 90 (12) (2007) 2087–2095.
J. D. Lee, T. Y. Lan, C. H. Huang, C. T. Wu and S. T. Lee, A coarse-to-fine surface registration algorithm for frameless brain surgery, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (2007) 836–839.
Y. Fan, X. Xu and M. Wang, A surface-based spatial registration method based on sense three-dimensional scanner, Journal of Craniofacial Surgery, 28 (1) (2017) 157–160.
Y. Hayashi, K. Misawa, M. Oda, D. J. Hawkes and K. Mori, Clinical application of a surgical navigation system based on virtual laparoscopy in laparoscopic gastrectomy for gastric cancer, International Journal of Computer Assisted Radiology and Surgery, 11 (5) (2016) 827–836.
X. Chen, L Xu, H. Wang, F. Wang, Q. Wang and R. Kikinis, Development of a surgical navigation system based on 3D Sheer for intraoperative implant placement surgery, Medical Engineering & Physics, 41 (2017) 81–89.
H. Kim, Y. Park and J. Bae, Optimized design of a body-powered finger prosthesis using fingertip trajectories based on polar coordinate analysis, Journal of Mechanical Science and Technology, 34 (1) (2020) 387–399.
W. Onprasert, S. Ongwattanakul and J. Suthakorn, Implementation on a new tool tip calibration method for biomedical applications, Recent Advances in Computer Science and Information Engineering, 129 (2012) 385–392.
P. J. Besl and N. D. McKay, Method for registration of 3-D shapes, Sensor Fusion IV: Control Paradigms and Data Structures, International Society for Optics and Photonics, 1611 (1992) 586–606.
Y. S. Liu, J. C. Paul, J. H. Yong, P. Q. Yu, H. Zhang, J. G. Sun and K Ramani, Automatic least-squares projection of points onto point clouds with applications in reverse engineering, Computer-Aided Design, 38 (12) (2006) 1251–1263.
D. J. Yoo, Rapid surface reconstruction from a point cloud using the least-squares projection, International Journal of Precision Engineering and Manufacturing, 11 (2) (2010) 273–283.
S. H. Youn, T. Sim, A. Choi, J. Song, K. Y. Shin, I. K. Lee, H. M. Heo, D. Lee and J. H. Mun, Multi-class biological tissue classification based on a multi-classifier: Preliminary study of an automatic output power control for ultrasonic surgical units, Computers in Biology and Medicine, 61 (2015) 92–100.
D. Dou, J. Jiang, Y. Wang and Y. Zhang, A rule-based classifier ensemble for fault diagnosis of rotating machinery, Journal of Mechanical Science and Technology, 32 (6) (2018) 2509–2515.
D. L. Hill, P. G. Batchelor, M. Holden and D. J. Hawkes, Medical image registration, Physics in Medicine & Biology, 46 (3) (2001) R1.
M. C. Metzger, A. Rafii, B. Holhweg-Majert, A. M. Pham and B. Strong, Comparison of 4 registration strategies for computer-aided maxillofacial surgery, Otolaryngology-Head and Neck Surgery, 137 (1) (2007) 93–99.
T. D. Grauvogel, E. Soteriou, M. C. Metzger, A. Berlis and W. Maier, Influence of different registration modalities on navigation accuracy in ear, nose, and throat surgery depending on the surgical field, The Laryngoscope, 120 (5) (2010) 881–888.
J. Schlaier, J. Warnat and A. Brawanski, Registration accuracy and practicability of laser-directed surface matching, Computer Aided Surgery, 7 (5) (2002) 284–290.
Acknowledgments
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP; No. NRF-2016R1A2B3009013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Editor Sehyun Shin
Hakje Yoo received his B.S. degree in biomechatronics engineering from Sung-kyunkwan University. He is now a Ph.D. student in the Biomechatronics Engineering at Sungkyunkwan University. His research interests include biomedical engineering and sports biomechanics and surgical navigation system.
Ahnryul Choi is an Assistant Professor of the Department of Biomedical Engineering at Catholic Kwandong University. He received his Ph.D. degree in Biome-chatronic Engineering from Sungkyunk-wan University. His research interests include the development of medical device and expert system based on machine learning techniques.
Joung Hwan Mun received a Ph.D. degree in Biomedical Engineering from The University of Iowa, USA. Currently he is a Professor of Department of Bio-mechatronic Engineering at Sungkyunk-wan University. His research interests include 3D human modelling, musculoskeletal injuries, sports medicine, ergonomics, bio-medical electronics and expert system based on artificial intelligence.
Rights and permissions
About this article
Cite this article
Yoo, H., Choi, A. & Mun, J.H. Acquisition of point cloud in CT image space to improve accuracy of surface registration: Application to neurosurgical navigation system. J Mech Sci Technol 34, 2667–2677 (2020). https://doi.org/10.1007/s12206-020-0540-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-020-0540-6