A new set of normalized geometric moments based on Schlick's approximation

Authors:
Ramakrishnan Mukundan
Affiliations:
Department of Computer Science and Software Engineering, University of Canterbury, Christchurch, New Zealand
Venue:
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
Year:
2007

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Abstract

Schlick's approximation of the term xp is used primarily to reduce the complexity of specular lighting calculations in graphics applications. Since moment functions have a kernel defined using a monomial xpyp, the same approximation could be effectively used in the computation of normalized geometric moments and invariants. This paper outlines a framework for computing moments of various orders of an image using a simplified kernel, and shows the advantages provided by the approximating function through a series of experimental results.