Abstract
Usually, 2-D wavelet transform consists of 1-D wavelet transform to the vertical and horizontal direction. Such 2-D wavelet is called ‘separable’ 2-D wavelet. Although we can analyze and synthesize local frequency using wavelet transform, we cannot distinguish between 45 degree component and 135 degree component using separable 2-D wavelet. The method proposed in this paper enables us to process an image locally and adaptively to various directions. Comparing results from image denoising experiments with the traditional method and the proposed method, we proved that the proposed method gives better results in respect of preservation of tilted edges.
