A Short Note on Modeling 2D Taut Ropes with Visibility Decompositions

The problem of modeling ropes arises in many applications, including providing haptic feedback to surgeons who are using surgical robots to realign the distal and proximal ends of split bones. Here, we consider a simplified, 2D variant of the haptic feedback estimation problem and discuss how visibility decompositions greatly simplify the problem. Then, we introduce an efficient, concise algorithm for modeling the dynamics of 2D ropes around polygonal obstacles in O(n) time, where n is the number of line segment obstacles. We start by providing a brief definition of our 2D rope problem. The open line segment obstacles constitute C entirely.