We consider the problem of minimizing equation for a planar curve having fixed initial and final positions and directions. The total length ℓ is free. Here s is the variable of arclength parametrization, K(s) is the curvature of the curve and ξ > 0 a parameter. This problem comes from a model of geometry of vision due to Petitot, Citti and Sarti.
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|Publication status||Published - 2012|
|Event||51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States|
Duration: 10 Dec 2012 → 13 Dec 2012