Pee, Chih Yang (2013) Formulation of invariants for discrete orthogonal moments and image classification / Pee Chih Yang. PhD thesis, University of Malaya.
Abstract
The aim of this thesis is to study invariant algorithms for the domain of discrete orthogonal moments. The invariants are anisotropic scale and translation invariants, translation, rotation and scale invariants, and affine moment invariants. Due to the complexity of hypergeometric functions, existing invariant algorithms are slow. In addition, some of the features have poor classification performance and are highly sensitive to the noise. Therefore new sets of invariant algorithms have been proposed to resolve the above mentioned issues. Discrete Tchebichef moments are selected as the implementation platform of the proposed algorithms.To evaluate the performance of invariant algorithms, empirical studies have been carried out on large set of binary images which consist of numbers, English letters, symbols, Chinese characters and objects like animals, trees and company logos under noiseless and noisy conditions. The discriminative power of the features is studied using a set of very similar handwritten Chinese characters. Experimental results showed that the proposed invariant algorithms are superior in computational efficiency. The generated features from the proposed invariants in general, demonstrate improvements in classification performance in both noiseless and noisy conditions
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