Adaptive Perona–Malik Model Based on the Variable Exponent for Image Denoising

Author

Guo, Zhichang ; Sun, Jiebao ; Zhang, Dazhi ; Wu, Boying

Author_Institution

Dept. of Math., Harbin Inst. of Technol., Harbin, China

Volume

21

Issue

3

fYear

2012

fDate

3/1/2012 12:00:00 AM

Firstpage

958

Lastpage

967

Abstract

This paper introduces a class of adaptive Perona-Malik (PM) diffusion, which combines the PM equation with the heat equation. The PM equation provides a potential algorithm for image segmentation, noise removal, edge detection, and image enhancement. However, the defect of traditional PM model is tending to cause the staircase effect and create new features in the processed image. Utilizing the edge indicator as a variable exponent, we can adaptively control the diffusion mode, which alternates between PM diffusion and Gaussian smoothing in accordance with the image feature. Computer experiments indicate that the present algorithm is very efficient for edge detection and noise removal.

Keywords

Gaussian processes; edge detection; image denoising; image enhancement; image segmentation; Gaussian smoothing; PM equation; adaptive PM diffusion model; adaptive Perona-Malik diffusion model; adaptive control; edge detection; heat equation; image denoising; image enhancement; image feature; image processing; image segmentation; noise removal; staircase effect; variable exponent; Adaptation models; Equations; Heating; Image edge detection; Mathematical model; Noise; Smoothing methods; Diffusion mode; Perona–Malik (PM) equation; edge indicator; forward and backward diffusion; variable exponent;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2011.2169272

Filename

6026250