Analyzing the Effect of JPEG Compression on Local Variance of Image Intensity

Document Type

Article

Publication Date

6-1-2016

Abstract

The local variance of image intensity is a typical measure of image smoothness. It has been extensively used, for example, to measure the visual saliency or to adjust the filtering strength in image processing and analysis. However, to the best of our knowledge, no analytical work has been reported about the effect of JPEG compression on image local variance. In this paper, a theoretical analysis on the variation of local variance caused by JPEG compression is presented. First, the expectation of intensity variance of 8×8 non-overlapping blocks in a JPEG image is derived. The expectation is determined by the Laplacian parameters of the discrete cosine transform coefficient distributions of the original image and the quantization step sizes used in the JPEG compression. Second, some interesting properties that describe the behavior of the local variance under different degrees of JPEG compression are discussed. Finally, both the simulation and the experiments are performed to verify our derivation and discussion. The theoretical analysis presented in this paper provides some new insights into the behavior of local variance under JPEG compression. Moreover, it has the potential to be used in some areas of image processing and analysis, such as image enhancement, image quality assessment, and image filtering.

Identifier

84968813803 (Scopus)

Publication Title

IEEE Transactions on Image Processing

External Full Text Location

https://doi.org/10.1109/TIP.2016.2553521

ISSN

10577149

First Page

2647

Last Page

2656

Issue

6

Volume

25

Grant

61003297

Fund Ref

National Natural Science Foundation of China

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