Variants of minimum correlation energy filters: comparative study

Application of distortion invariant filters (DIF) provides the possibility of invariant image recognition with increased speed of correlation matching. DIF with the minimization of correlation energy enable to control the properties of output correlation signal due to the parameterization during its synthesis. There are several types of such a filters presented nowadays. The relevance degree of each type of filter application is determined by the specific conditions of the recognition task. Thus it requires a comparative analysis of the filters performance. The simulations were provided for the DIF of the following types: MACE (Minimum Average Correlation Energy Filter), GMACE (Gaussian-minimum average correlation energy filters), MINACE (Minimum noise and correlation energy filter) and WMACE (the version of GMACE where the smoothing function is the wavelet). The synthesis of filters was carried out under identical conditions of gray-scale image recognition problem (out of plane rotated objects). The comparison results of discrimination characteristics and the requirements of DIFs synthesis are described and discussed.