Optimal control for reconstruction of curves without cusps

Ugo Boscain, Remco Duits, Francesco Rossi, Yuri Sachkov

Research output: Contribution to journalConference articleAcademicpeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number6427047
Pages (from-to)7679-7684
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
Publication statusPublished - 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: 10 Dec 201213 Dec 2012

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