By exploiting an analogy with averaging procedures in fluid dynamics, we present a set of averaged template matching equations. These equations are analogs of the exact template matching equations that retain all the geometric properties associated with the diffeomorphism group, and which are expected to average out small scale features and so should, as in hydrodynamics, be more computationall...

Abstract Recurrence quantification analysis (RQA) is a well established method of nonlinear data analysis. In this work, we present new strategy for an almost parameter-free RQA. The approach finally omits the choice threshold parameter by calculating RQA measures range thresholds (in fact recurrence rates). Specifically, test ability measure determinism, to sort with respect their signal noise...