The Critical Role of Homotopy Continuation in Robotic-Assisted Surgery - Future Perspective

EasyChair Preprint no. 11475

Abstract

This article provides an introduction and overview of the mathematical concept of homotopy continuation and its applications - especially for path tracing - in robotic-assisted surgery. It explains the importance of homotopy continuation in solving path-planning and restriction problems and image reconstruction. The opinion article starts with a short introduction to robotic-assisted surgery and also provides several examples of how homotopy continuation has been used in other areas of robotics. Further advancements in homotopy continuation techniques are anticipated and with the combination of machine and deep learning it will likely enable researchers to plan out safer surgeries with the assistance of homotopy-guided robots.

Keyphrases: homotopy continuation, mathematical models., Robotic-assisted surgery, topological space

@Booklet{EasyChair:11475,
  author = {Yashbir Singh and Colleen Farrelly and Quincy A. Hathaway and Aakriti R. Carrubba and Deepa Deepa and Michael Friebe and Ashok Chaudhary and Shadi Atalls and Wathiq Mansoor and Yassine Himeur},
  title = {The Critical Role of Homotopy Continuation in Robotic-Assisted Surgery - Future Perspective},
  howpublished = {EasyChair Preprint no. 11475},

  year = {EasyChair, 2023}}