2 papers
math.DG2013
A Survey of the Differential Geometry of Discrete Curves
Daniel Carroll, Eleanor Hankins, Emek Köse +1
Discretization of curves is an ancient topic. Even discretization of curves with an eye toward differential geometry is over a century old. However there is no general theory or me…
math.DG2013
Improving Frenet's Frame Using Bishop's Frame
Daniel Carroll, Emek Köse, Ivan Sterling
The main drawback of the Frenet frame is that it is undefined at those points where the curvature is zero. Further- more, in the case of planar curves, the Frenet frame does not ag…