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In many practical and theoretical contexts, the exact value of a definite integral may be inaccessible. This limitation typically arises when the antiderivative of a function is either unknown or cannot be expressed in a closed mathematical form. Alternatively, it can occur when a function is defined not by a formula but by a finite set of empirical data points, such as those collected during experiments. In these cases, approximate integration techniques provide a valuable solution.One of the...
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Organ-mounted robot localization via function approximation.

Nathan A Wood1, David Schwartzman2, Michael J Passineau3

  • 1The Robotics Institute, Carnegie Mellon University, Pittsburgh, Pennsylvania.

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This study introduces a new method for precise robot localization during minimally invasive surgery, crucial for procedures on mobile organs like the heart. The technique offers instantaneous and accurate positioning, improving surgical navigation.

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Area of Science:

  • Robotics in Medicine
  • Minimally Invasive Surgery
  • Medical Imaging and Localization

Background:

  • Organ-mounted robots assist in minimally invasive interventions by compensating for physiological motion, particularly beneficial for beating heart surgery.
  • Accurate localization is critical but challenged by heartbeat and respiratory motion.
  • Existing localization methods require multiple respiratory cycles for convergence.

Purpose of the Study:

  • To present a general and rapid localization technique for organ-mounted robots.
  • To improve the accuracy and speed of robot localization during interventions on mobile organs.

Main Methods:

  • Function approximation using radial basis function (RBF) interpolation.
  • Development of a general localization technique applicable to organ-mounted robotic platforms.

Main Results:

  • Achieved mean localization accuracy of 1.25 mm with a 95% confidence interval of 0.22 mm in a porcine model.
  • Demonstrated instantaneous estimation of robot location.

Conclusions:

  • Radial basis function approximation offers a highly accurate and instantaneous solution for robot localization in organ-mounted applications.
  • This technique enhances the feasibility and precision of robotic interventions on mobile organs.