I have two visual aruco markers on a flexible line and a camera. I can calculate the pose (position and orientation) of each marker. I have measured the distance between the markers when the line is straight. I want to approximate the line between the markers based on the marker poses and the length of the line.
My current approach is to create a hermite curve from 2 poses. However the magnitudes of the tangents of the start and end points need to be found experimentally to best fit my real line. I want to use the length of the line to calculate the hermite curve tangent magnitudes and therefore have a better approximation of my line. Is this possible? I am unsure how I can combine the arc length equation and the hermite curve equation.
