Study on Directional Selection using 2-Dimensional Complex MultiResolution Analysis and its Application for Image Processing

Abstract

We have already proposed a 2-Dimensional Complex Multiresolution Analysis (2-D CMRA), which can provide 2-dimensional shift invariance approximately. In this study, we improve a 2-D Directional Selection using the 2-D CMRA and applied it to image processing. The main results obtained can be summarized as follows : 1) The poor 2-D Dimensional Selection of the 2-Dimensional MultirResolution Analysis has been improved by using 2-D CMRA. 2) The 2-D Dimensional Selection has been applied to image processing, and encouraging results were obtained.