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Convergence Stability of Depth-Depth-Matching-Based Steepest Descent Method in Simulated Liver Surgery

Miho Asano1, Tomohiro Kuroda 2,3, Satoshi Numata4, Tuneo Jozen4, Tomoki Yoshikawa5, and Hiroshi Noborio5
1.Preemptive Medicine and Lifestyle-Related Disease Research Center, Kyoto University Hospital, Kyoto, Japan
2.Department of Social Informatics, Graduate School of Informatics, Kyoto University, Kyoto, Japan
3.Division of Medical Information Technology and Administration Planning, Kyoto University Hospital, Kyoto, Japan
4.Department of Digital Games, Osaka Electro-Communication University, Osaka, Japan
5.Department of Computer Science, Osaka Electro-Communication University, Osaka, Japan

Abstract—We recently established that our digital potential function was globally stable at the point where a virtual liver coincided with its real counterpart. In particular, because three rotational degrees of freedom are frequently used in a surgical operation on a real liver, stability of the potential function concerning three rotational degrees of freedom was carefully verified in the laboratory, using fluorescent lamps and sunlight. We achieved the same stability for several simulated liver operations using a 3D printed viscoelastic liver in a surgical operating room equipped with two light-emitting diode shadowless lamps. As a result, with increasing number of lamps, stability of our depth-depth matching in the steepest descendent algorithm improved because the lamps did not emit an infrared spectrum such as the one emitted by our depth camera. Furthermore, the slower the angular velocity in a surgical sequence, the more overall stability improved.

Index Terms—steepest descent method, virtual liver, actual liver, triangular polyhedron STL, liver surgery navigator, light-emitting diode shadowless lamps

Cite: Miho Asano, Tomohiro Kuroda, Satoshi Numata, Tuneo Jozen, Tomoki Yoshikawa, and Hiroshi Noborio, "Convergence Stability of Depth-Depth-Matching-Based Steepest Descent Method in Simulated Liver Surgery," International Journal of Pharma Medicine and Biological Sciences, Vol. 10, No. 2, pp. 60-67, April 2021. doi: 10.18178/ijpmbs.10.2.60-67

Copyright © 2021 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.
 
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