Fast DCT domain filtering using the DCT and the DST

A method for efficient spatial domain filtering, directly in the discrete c osine transform (DCT) domain, is developed and proposed, It consists of usi ng the discrete sine transform (DST) and the DCT for transform-domain proce ssing on the basis of recently derived convolution-multiplication propertie s of discrete trigonometric transforms. The proposed scheme requires neithe r zero padding of the input data nor kernel symmetry. It is demonstrated th at, in typical applications, the proposed algorithm is significantly more e fficient than the conventional spatial domain and earlier proposed DCT doma in methods. The proposed method is applicable to any DCT-based image compre ssion standard, such as JPEG, MPEG, and H.261.