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Fuzzy relation equations for coding/decoding processes of images and videos. (English) Zbl 1078.68815
Summary: We adopt fuzzy relation equations with continuous triangular norms for compression/decompression processes of grey images, colour images in the RGB space and frames of videos, by comparing the results of the reconstructed images with standard methods like JPEG and MPEG-4. Any image is subdivided in blocks and each block is coded/decoded using arbitrary fuzzy sets as coders in the fuzzy equations. We evaluate the peak signal to noise ratio on the decompressed images for several values of the compression rates as measure of the quality of images and frames reconstructed. The original frames of a video are classified in Intra-frames and Predictive frames by using a similarity measure based on the well known Lukasiewicz t-norm.

68U10 Computing methodologies for image processing
68P30 Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science)
03E72 Theory of fuzzy sets, etc.
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
Full Text: DOI
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