Redundant transformation on the binary data and its applications to image coding and transmission

Mojette transformation (MT) is the discrete domain counterpart of the Radon transformation, and the Mojette transformation on binary data has some special characteristics compared to the ones for integer data. This paper discusses the ability of reconstruction of Mojette transformation on binary data (MTBI) and finds out a group of projections by which Mojette transformation on a bilevel image of size 2×2 is reversible. Furthermore, this transformation has the ability of correcting 1 bit of error within a vector of 8 bits and some of 2-continuous-bits of errors. Finally, an application to state image coding and transmission is proposed