A Study Of The Discrete Hartley Transform For Image Compression Applications

Kou-Hu Tzou, T.R. Hsing · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1985

The discrete Hartley transform (DHT) and its fast algorithm were introduced recently. One of the advantages of the DHT is that the forward and inverse transforms are of the same form except for a normalization constant. Therefore, the forward and the inverse transform can be implemented by the same subroutine or hardware when the normalization constant is properly taken care of. In this paper, the applications of the DHT to image compression are studied. The distribution of the DHT coefficients is tested using the Kolmogorov-Smirnov goodness-of-fit test. The compression efficiency of DHT coding is found to be about the same as discrete Fourier transform (DFT) coding. The DHT coding system incorporated with a human visual system model is also studied and this system offers about the same subjective image quality as a straight-forward DCT coding system.

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