Feature-Oriented fuzzy shock-diffusion equation for adaptive image resolution enhancement

Authors:
Shujun Fu;Qiuqi Ruan;Wenqia Wang;Jingnian Chen
Affiliations:
School of Mathematics and System Sciences, Shandong University, Jinan, China;Institute of Information Science, Beijing Jiaotong University, Beijing, China;School of Mathematics and System Sciences, Shandong University, Jinan, China;School of Arts and Science, Shandong University of Finance, Jinan, China
Venue:
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Year:
2006

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Abstract

Image resolution enhancement is receiving a great deal of attention in the wide increasing use of digital imaging technologies recently. This paper presents a feature-oriented fuzzy shock-diffusion equation, where the shock term is used to sharpen edges along the normal direction to the isophote line (edge), while the diffusion term is used to remove artifacts (“jaggies”) along the tangent direction. A fuzzy decision mechanism is used to preserve image features such as edge, texture and fine part. Finally, a shock capturing scheme with a special limiter function is developed to speed the process with numerical stability. Experimental results on real images demonstrate that our algorithm substantially improves the subjective quality of the enhanced images over conventional interpolations and some related equations.