To solve the contradiction between contrast enhancement and noise suppression in image enhancement

an image enhancement algorithm based on dual domain decomposition (IEDD) is proposed. The principles and methods including spatial domain decomposition

layered spatial images enhancement and transform domain noise reduction

and layered images synthesis are described in detail. Firstly

the image is decomposed into a base layer and a detail layer by a Gaussian filter

that decouples the contrast enhancement and noise reduction. Next

in order to realize the enhancement of base layer and noise reduction of detail layers synchronously

the single-scale Retinex with correction function and the nonsubsampled shearlet denoising algorithm with hard threshold shrinkage are implemented. Finally

to ensure the uniform color and the outstanding detail of the composite image

layered image fusion

gray value extension and differential operator detail enhancement are implemented

realizing the grayscale extension and detail enhancement of the composite image. Experiments show that the performance of the proposed algorithm is better than other nine algorithms in improving image contrast and suppressing noise.