On the material and material-adapted approaches to curve framing with applications in path estimation, shape reconstruction, and computer graphics

In this paper, we investigate an approach towards curve framing using material frames (MF). Motivated from the successful application of MF in shape sensing of rods in our previous work, we now present these frames as an alternative curve framing method. There are numerous instances of practical importance, where the dynamic system in consideration can be geometrically modeled by means of framed space curve. Unlike the Frenet-Serret and...