An Extension to Philips' Algorithm for Moment Calculation

Abstract

Abstract. A new reformulation of Philips’ algorithm for the computation of discrete image moments is presented. As Philips’ method, the new reformulation produces the same exact results but in a faster manner. Moment contributions due to the presence of holes in the shape (which are not taken into account, to our knowledge, into any boundary based method for moment calculation including Philips’) are also introduced into the new method.