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International Journal of Computer Assisted Radiology and Surgery

Published in:

01-10-2018 | Original Article

Perspective pinhole model with planar source for augmented reality surgical navigation based on C-arm imaging

Authors: Ho-Gun Ha, Sangseo Jeon, Seongpung Lee, Hyunseok Choi, Jaesung Hong

Published in: International Journal of Computer Assisted Radiology and Surgery | Issue 10/2018

Abstract

Purpose

For augmented reality surgical navigation based on C-arm imaging, accuracy of the overlaid augmented reality onto the X-ray image is imperative. However, overlay displacement is generated when a conventional pinhole model describing a geometric relationship of a normal camera is adopted for C-arm calibration. Thus, a modified model for C-arm calibration is proposed to reduce this displacement, which is essential for accurate surgical navigation.

Method

Based on the analysis of displacement pattern generated for three-dimensional objects, we assumed that displacement originated by moving the X-ray source position according to the depth. In the proposed method, X-ray source movement was modeled as variable intrinsic parameters and represented in the pinhole model by replacing the point source with a planar source.

Results

The improvement which represents a reduced displacement was verified by comparing overlay accuracy for augmented reality surgical navigation between the conventional and proposed methods. The proposed method achieved more accurate overlay on the X-ray image in spatial position as well as depth of the object volume.

Conclusion

We validated that intrinsic parameters that describe the source position were dependent on depth for a three-dimensional object and showed that displacement can be reduced and become independent of depth by using the proposed planar source model.

Hofstetter R, Slomczykowski M, Sati M, Nolte L-P (1999) Fluoroscopy as an imaging means for computer-assisted surgical navigation. Comput Aided Surg 4(2):65–76CrossRefPubMed

Tsai R (1987) A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses. IEEE J Robot Autom 3(4):323–344CrossRef

Zhang Z (2000) A flexible new technique for camera calibration. IEEE Trans Pattern Anal Mach Intell 22(11):1330–1334CrossRef

Huang L, Zhang Q, Asundi A (2013) Camera calibration with active phase target: improvement on feature detection and optimization. Opt Lett 38(9):1446–1448CrossRefPubMed

Wijesoma S, Wolfe D, Richards R (1993) Eye-to-hand coordination for vision-guided robot control applications. Int J Robot Res 12(1):65–78CrossRef

Daniilidis K (1999) Hand-eye calibration using dual quaternions. Int J Robot Res 18(3):286–298CrossRef

Ha H-G, Hong J (2016) Augmented reality in medicine. Hanyang Med Rev 36(4):242–247CrossRef

Fischer J, Neff M, Freudenstein D, Bartz D (2004) Medical augmented reality based on commercial image guided surgery. In: Eurographics symposium on virtual environments (EGVE), pp 83–86

Bertelsen A, Garin-Muga A, Echeverría M, Gómez E, Borro D (2014) Distortion correction and calibration of intra-operative spine X-ray images using a constrained DLT algorithm. Comput Med Imaging Graph 38(7):558–568CrossRefPubMed

10.

Li X, Zhang D, Liu B (2010) A generic geometric calibration method for tomographic imaging systems with flat-panel detectors—a detailed implementation guide. Med Phys 37(7):3844–3854CrossRefPubMed

11.

Meng C, Zhang J, Zhou F, Wang T (2014) New method for geometric calibration and distortion correction of conventional C-arm. Comput Biol Med 52:49–56CrossRefPubMed

12.

Livyatan H, Yaniv Z, Joskowicz L (2002) Robust automatic C-arm calibration for fluoroscopy-based navigation: a practical approach. In: International conference on medical image computing and computer-assisted intervention, Springer, pp 60–68

13.

Navab N, Heining S-M, Traub J (2010) Camera augmented mobile C-arm (CAMC): calibration, accuracy study, and clinical applications. IEEE Trans Med Imaging 29(7):1412–1423CrossRefPubMed

14.

Schumann S, Dong X, Puls M, Nolte L-P, Zheng G (2012) Calibration of C-arm for orthopedic interventions via statistical model-based distortion correction and robust phantom detection. In: 2012 9th IEEE international symposium on biomedical imaging (ISBI), IEEE, pp 1204–1207

15.

Lv S, Meng C, Zhou F, Liu B, Zhou X (2009) Visual model based C-arm system calibration and image correction. In: 2nd international conference on biomedical engineering and informatics, 2009. BMEI’09. IEEE, pp 1–5

16.

Rampersaud YR, Simon DA, Foley KT (2001) Accuracy requirements for image-guided spinal pedicle screw placement. Spine 26(4):352–359CrossRefPubMed

17.

West JB, Fitzpatrick JM, Toms SA, Maurer CR Jr, Maciunas RJ (2001) Fiducial point placement and the accuracy of point-based, rigid body registration. Neurosurgery 48(4):810–817PubMed

18.

Sielhorst T, Feuerstein M, Navab N (2008) Advanced medical displays: a literature review of augmented reality. J Display Technol 4(4):451–467CrossRef

19.

Miao H, Wu X, Zhao H, Liu H (2012) A phantom-based calibration method for digital x-ray tomosynthesis. J X-Ray Sci Technol 20(1):17–29

20.

Lourakis MI (2005) A brief description of the Levenberg–Marquardt algorithm implemented by Levmar. Found Res Technol 4(1):1–6

21.

Phillips R (2007) The accuracy of surgical navigation for orthopaedic surgery. Curr Orthop 21(3):180–192CrossRef

Title: Perspective pinhole model with planar source for augmented reality surgical navigation based on C-arm imaging
Authors: Ho-Gun Ha
Sangseo Jeon
Seongpung Lee
Hyunseok Choi
Jaesung Hong
Publication date: 01-10-2018
Publisher: Springer International Publishing
Published in: International Journal of Computer Assisted Radiology and Surgery / Issue 10/2018
Print ISSN: 1861-6410
Electronic ISSN: 1861-6429
DOI: https://doi.org/10.1007/s11548-018-1823-6

At a glance: The STEP trials

Springer Medicine

Perspective pinhole model with planar source for augmented reality surgical navigation based on C-arm imaging

Abstract

Purpose

Method

Results

Conclusion

At a glance: The STEP trials

Springer Medicine

Abstract

Purpose

Method

Results

Conclusion

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