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Algorithms for autonomous exploration and estimation in compliant environments

Published online by Cambridge University Press:  28 March 2012

R. E. Goldman ,
A. Bajo  and
N. Simaan
R. E. Goldman
Affiliation:
Department of Biomedical Engineering, Columbia University, New York, NY 10027USA
A. Bajo
Affiliation:
Department of Mechanical Engineering, Vanderbilt University, Nashville, TN 37235USA
N. Simaan*
Affiliation:
Department of Mechanical Engineering, Vanderbilt University, Nashville, TN 37235USA
*
*Corresponding author. E-mail: [email protected]
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Summary

This paper investigates algorithms for enabling surgical slave robots to autonomously explore shape and stiffness of surgical fields. The paper addresses methods for estimating shape and impedance parameters of tissue and methods for autonomously exploring perceived impedance during tool interaction inside a tissue cleft. A hybrid force-motion controller and a cycloidal motion path are proposed to address shape exploration. An adaptive exploration algorithm for segmentation of surface features and a predictor-corrector algorithm for exploration of deep features are introduced based on discrete impedance estimates. These estimates are derived from localized excitation of tissue coupled with simultaneous force measurements. Shape estimation is validated in ex-vivo bovine tissue and attains surface estimation errors of less than 2.5 mm with force sensing resolutions achievable with current technologies in minimally invasive surgical robots. The effect of scan patterns on the accuracy of the shape estimate is demonstrated by comparing the shape estimate of a Cartesian raster scan with overlapping cycloid scan pattern. It is shown that the latter pattern filters the shape estimation bias due to frictional drag forces. Surface impedance exploration is validated to successfully segment compliant environments on flexible inorganic models. Simulations and experiments show that the adaptive search algorithm reduces overall time requirements relative to the complexity of the underlying structures. Finally, autonomous exploration of deep features is demonstrated in an inorganic model and ex-vivo bovine tissue. It is shown that estimates of least constraint based on singular value decomposition of locally estimated tissue stiffness can generate motion to accurately follow a tissue cleft with a predictor-corrector algorithm employing alternating steps of position and admittance control. We believe that these results demonstrate the potential of these algorithms for enabling “smart” surgical devices capable of autonomous execution of intraoperative surgical plans.

Keywords

Autonomous explorationEnvironment impedance estimationHybrid force-motion controlComputer-assisted surgery
Type
Articles
Information
Robotica , Volume 31 , Issue 1 , January 2013 , pp. 71 - 87
Copyright
Copyright © Cambridge University Press 2012

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