TY - JOUR
T1 - Analyzing the Effect of JPEG Compression on Local Variance of Image Intensity
AU - Yang, Jianquan
AU - Zhu, Guopu
AU - Shi, Yun Qing
N1 - Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 61572489, Grant 61003297, and Grant U1135001, in part by the Youth Innovation Promotion Association of CAS under Grant 2015299, and in part by the SIAT Innovation Program for Excellent Young Researchers under Grant 201406.
Publisher Copyright:
© 2016 IEEE.
PY - 2016/6
Y1 - 2016/6
N2 - 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.
AB - 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.
KW - JPEG compression
KW - Laplacian distribution
KW - Local variance
KW - discrete cosine transform (DCT)
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U2 - 10.1109/TIP.2016.2553521
DO - 10.1109/TIP.2016.2553521
M3 - Article
AN - SCOPUS:84968813803
SN - 1057-7149
VL - 25
SP - 2647
EP - 2656
JO - IEEE Transactions on Image Processing
JF - IEEE Transactions on Image Processing
IS - 6
M1 - 7452379
ER -