• Jeff Calder
  • October 5, 4 PM (Note the time!)
  • 224 Dennison

***NOTE: This talk is a joint seminar with student analysis and will be at the time of the student analysis seminar.*** The representation of curves by integral signatures has become an important step in shape classification and recognition algorithms in the computer vision community.  However, for some of the most commonly used signatures, the question of whether the signature uniquely determines the curve is unanswered.  In this talk, I will give some background on the problem and then sketch the proof of a new uniqueness result based on the inverse function theorem for the circular area signature for graphs of periodic functions and discuss the difficulties with obtaining a similar result for simple closed curves.   This is a joint work with Professor Selim Esedoglu.