对三维SDCT(sub-matrices discrete cosine transform)表示方法进行了研究。首先,定义了4种新的三维矩阵运算方法;其次,在构建了变换基阵的基础上,详细描述了三维SDCT的运算原理;最后,对三维SDCT算法特性进行了分析。通过理论分析表明,三维SDCT运算方法使三维DCT的表达简洁,理解容易,计算便捷。
The expression method of 3-D SDCT(sub-matrices discrete cosine transform) was studied.First,four 3-D matrix operation principles were defined.Then,the transform basic matrix used for 3-D SDCT operation was build and the opera-tion principle of 3-D SDCT was described in detail.Finally,the performance of 3-D SDCT was analyzed.The theoretical analysis shows that the proposed method makes 3-D DCT succinct to express,easy to comprehend and convenient to operate.