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


The local variance of image intensity may be a typical live of image smoothness. It has been extensively used, for example, to live the visual saliency or to adjust the filtering strength in Image Processing and analysis. However, to the simplest of our data, no analytical work has been reported regarding the impact of JPEG compression on image local variance. During this paper, a theoretical analysis on the variation of native variance caused by JPEG compression is presented. First, the expectation of intensity variance of $8times eight$ non-overlapping blocks in a very JPEG image is derived. The expectation is decided by the Laplacian parameters of the discrete cosine transform coefficient distributions of the first image and also the quantization step sizes employed in the JPEG compression. Second, some interesting properties that describe the behavior of the local variance beneath totally different degrees of JPEG compression are discussed. Finally, each the simulation and also 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 below JPEG compression. Moreover, it's the potential to be utilized in some areas of Image Processing and analysis, like image enhancement, image quality assessment, and image filtering.

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