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Telecommunications and Radio Engineering

ISSN Print: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v68.i9.10
pages 747-761

Super-Resolution Method Based on Wavelet Atomic Functions in Images and Video Sequences

F. Gomeztagle
National Polytechnic Institute of Mexico, Mexico-city, Mexico
Victor Filippovich Kravchenko
Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 11-7, Mokhovaya St., Moscow 125009, Russia; Bauman Moscow State Technical University, 5, Vtoraya Baumanskaya St., Moscow 105005 Russia; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 15, Butlerova St., Moscow 117342, Russia
Volodymyr Ponomaryov
Instituto Politécnico Nacional, Mexico-city, Mexico


A novel method for super resolution in the grayscale images and video sequences is introduced. In difference with conventional approaches, where the procedures use small pixels spatial information in the vicinity around the positions of the interpolation, a new framework employs the spatial spectral properties of an image or sequence applying wavelet transform technique. Novel wavelets based on atomic functions, which are used here, have shown good properties of resolution by extension of an image size up to 4 times in comparison with the original low resolution image reconstructing three new pixels should be estimated for each one existing pixel. Numerous statistical simulations have demonstrated the effectiveness of the novel technique, exposing an excellent subjective visual quality, as well as significant improvement of super resolution image in terms of objective criteria in comparison with better existing algorithms.