关键词: Contourlet变换, 主分量分析, 图像去噪

Abstract: This paper proposes a new method which utilizes noise energy，instead of its variance，to perform image de-noising based on Principal Component Analysis（PCA） in Contourlet domain.The Contourlet transform is a new extension of the wavelet transform in two dimensions.Its main feature is combining non-separable directional filter with wavelet filter.Most of the existing methods for image de-noising rely on accurate estimation of noise variance.However，the estimation of noise variance is very hard in Contourlet domain.Propose a new method for image de-noising based on the Contourlet transform.Experiments in de-noising the typical image Barbara show that the performance of the proposed method is obviously superior both in vision and in PSNR.

Key words: Contourlet transform, Principal Component Analysis, image de-noising