Abstract
Orthogonal moments are of great importance in image processing due to their high discriminatory capability. Orthogonal moment invariant functions like Legendre moments and Complex Zernike moments are known for high computational complexity and/or they are complex valued. This paper presents a new orthogonal moment function that is real valued. The formulation is appraised to prove that it is computationally less complex when compared to the existing moment functions. The proposed orthogonal moment functions are appraised over their reversible nature to obtain the original data. The new moment functions are also appraised for their discriminating ability through derivations and experiments. Invariance properties such as scaling, translation and rotational invariance are studied over the new formulation to demonstrate the use of the functions over image processing applications that involve invariance to image transformations.
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