%0 Journal Article %T Low-Complexity Loeffler DCT Approximations for Image and Video Coding %A Arjuna Madanayake %A Diego F. G. Coelho %A F¨¢bio M. Bayer %A Paulo Martinez %A Ra¨ªza S. Oliveira %A Renato J. Cintra %A Sunera Kulasekera %A Thiago L. T. Silveira %A Vassil S. Dimitrov %J - %D 2018 %R https://doi.org/10.3390/jlpea8040046 %X Abstract This paper introduced a matrix parametrization method based on the Loeffler discrete cosine transform (DCT) algorithm. As a result, a new class of 8-point DCT approximations was proposed, capable of unifying the mathematical formalism of several 8-point DCT approximations archived in the literature. Pareto-efficient DCT approximations are obtained through multicriteria optimization, where computational complexity, proximity, and coding performance are considered. Efficient approximations and their scaled 16- and 32-point versions are embedded into image and video encoders, including a JPEG-like codec and H.264/AVC and H.265/HEVC standards. Results are compared to the unmodified standard codecs. Efficient approximations are mapped and implemented on a Xilinx VLX240T FPGA and evaluated for area, speed, and power consumption. View Full-Tex %K discrete cosine transform %K approximation %K multicriteria optimization %K image/video compression %U https://www.mdpi.com/2079-9268/8/4/46