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The relation between dither matrix and a pair of orthogonal generalized Latin squares

机译:抖动矩阵与一对正交的广义拉丁方之间的关系

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The dither matrix has been extensively applied in image processing, color matching and other aspects. In the paper, a new concept is put forward about the generalized Latin square and a mathematical description of the dither matrix, the counting formula of the generalized Latin square and a pair of orthogonal generalized Latin squares are given. The necessary and sufficient conditions of two orthogonal generalized Latin squares are presented and one-to-one correspondence relation of two sets between dither matrix and a pair of orthogonal generalized Latin squares are established by studying the generalized Latin squares. So the study of dither matrix can be transformed to that of a pair of orthogonal generalized Latin squares.
机译:抖动矩阵已广泛应用于图像处理,色彩匹配和其他方面。提出了广义拉丁平方的新概念,并对抖动矩阵进行了数学描述,给出了广义拉丁平方的计数公式和一对正交的广义拉丁平方。给出了两个正交广义拉丁方的充要条件,通过研究广义拉丁方,建立了抖动矩阵与一对正交广义拉丁方之间两组的一对一对应关系。因此,抖动矩阵的研究可以转化为一对正交的广义拉丁方的研究。

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