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The relation between dither matrix and a pair of orthogonal generalized Latin squares
- Source :
- Proceedings. International Conference on Machine Learning and Cybernetics.
- Publication Year :
- 2003
- Publisher :
- IEEE, 2003.
-
Abstract
- 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.
Details
- Database :
- OpenAIRE
- Journal :
- Proceedings. International Conference on Machine Learning and Cybernetics
- Accession number :
- edsair.doi...........c9c7d6c7b98c9c5fbfe870838d38cfb6