Introduction to Wavelet Transform and Two Stage Image DE noising Using Principal Component Analysis with Local Pixel Grouping (LPGPCA) method

In past two decades there are various techniques are developed to support variety of image processing applications. The applications of image processing include medical, satellite, space, transmission and storage, radar and sonar etc. But noise in image effect all applications. So it is necessary to remove noise from image. There are various methods and techniques are there to remove noise from images. Wavelet transform (WT) has been proved to be effective in noise removal but this have some problems that is overcome by PCA method. This paper presents an efficient image de-noising scheme by using principal component analysis (PCA) with local pixel grouping (LPG). This method provides better preservation of image local structures. In this method a pixel and its nearest neighbors are modeled as a vector variable whose training samples are selected from the local window by using block matching based LPG. In image de-noising, a compromise has to be found between noise reduction and preserving significant image details. PCA is a statistical technique for simplifying a dataset by reducing datasets to lower dimensions. It is a standard technique commonly used for data reduction in statistical pattern recognition and signal processing. This paper proposes a de-noising technique by using a new statistical approach, principal component analysis with local pixel grouping (LPG). This procedure is iterated second time to further improve the de-noising performance, and the noise level is adaptively adjusted in the second stage.