Four-dimensional Vector Matrix DCT Integer Transform Codec Based on Multi-dimensional Vector Matrix Theory

This paper proposes a video compression scheme: four-dimensional vector matrix DCT integer transform (4D-VMICT) codec based on multi-dimensional vector matrix theory. In the scheme we proposes two models for the codec, which can eliminate temporal, spatial and statistical redundancy among the pixels in video sequence by use of the excellent concentration of the 4D-VMICT. Then an e-exponential function is used to quantization and it is verified to 2-exponential function in order to easily carrying out by shift operator. Finally, an improved zigzag scan order is carried out to produce consecutive zeros for subsequent entropy coding. After determining the proper parameter by experiment, the proposed method is tested on various standard test video sequences. The comparisons with the literature and MPEG-4 show the scheme´s superiority. Also the comparisons between 4D-VMICT and H.264/AVC show potential advantages at low bit rate with high activities sequences. At last, different properties about two models are summarized in the experiment results.