The convergence of a gesture recognizer and the shape of a plane gesture

Abstract

In this work we develop the mathematical framework of !FTL, a new gesture recognition algorithm and we prove its convergence. Such convergence suggests to adopt a notion of shape for smooth gestures as a complex valued function. However, the idea inspiring that notion came to us from Clifford numbers and not from complex numbers. Moreover, the Clifford vector algebra can be used to extend to higher dimensions the notion of shape of a gesture, while complex numbers are useless to that purpose.