Novel image processing method inspired by wavelet transform.

Abstract

I developed a novel image processing method inspired by wavelet transform that uses a concentric mother wavelet. This method can be used for noise filtering, feature extraction, image enhancement, and other applications and is effective for images with low spatial frequencies. When filtering small-sized images, setting masks for Fourier filtering is often difficult; however, the proposed method does not require mask setting, thus facilitating filtering. In practice, many concentric mother wavelets of different frequencies are prepared in advance, and the cross-correlation between the input image and prepared wavelets is calculated. Reconstruction or image processing can be easily performed by combining the obtained results for each frequency. I believe that the present method can aid image processing related to material analysis.