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Sensors 2018, 18(2), 392;

A Total Bounded Variation Approach to Low Visibility Estimation on Expressways

College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
Department of Applied Physics and Electronics, Umeå University, 90187 Umeå, Sweden
School of Electrical Engineering and Computer Science, Royal Institute of Technology, 10044 Stockholm, Sweden
School of Environmental and Municipal Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China
School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing 211800, China
Author to whom correspondence should be addressed.
Received: 28 December 2017 / Revised: 22 January 2018 / Accepted: 24 January 2018 / Published: 29 January 2018
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Low visibility on expressways caused by heavy fog and haze is a main reason for traffic accidents. Real-time estimation of atmospheric visibility is an effective way to reduce traffic accident rates. With the development of computer technology, estimating atmospheric visibility via computer vision becomes a research focus. However, the estimation accuracy should be enhanced since fog and haze are complex and time-varying. In this paper, a total bounded variation (TBV) approach to estimate low visibility (less than 300 m) is introduced. Surveillance images of fog and haze are processed as blurred images (pseudo-blurred images), while the surveillance images at selected road points on sunny days are handled as clear images, when considering fog and haze as noise superimposed on the clear images. By combining image spectrum and TBV, the features of foggy and hazy images can be extracted. The extraction results are compared with features of images on sunny days. Firstly, the low visibility surveillance images can be filtered out according to spectrum features of foggy and hazy images. For foggy and hazy images with visibility less than 300 m, the high-frequency coefficient ratio of Fourier (discrete cosine) transform is less than 20%, while the low-frequency coefficient ratio is between 100% and 120%. Secondly, the relationship between TBV and real visibility is established based on machine learning and piecewise stationary time series analysis. The established piecewise function can be used for visibility estimation. Finally, the visibility estimation approach proposed is validated based on real surveillance video data. The validation results are compared with the results of image contrast model. Besides, the big video data are collected from the Tongqi expressway, Jiangsu, China. A total of 1,782,000 frames were used and the relative errors of the approach proposed are less than 10%. View Full-Text
Keywords: total bounded variation; image spectrum; low visibility estimation; piece stationary; fog and haze total bounded variation; image spectrum; low visibility estimation; piece stationary; fog and haze

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Cheng, X.; Yang, B.; Liu, G.; Olofsson, T.; Li, H. A Total Bounded Variation Approach to Low Visibility Estimation on Expressways. Sensors 2018, 18, 392.

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