A graph-based distributed reconstruction source coding with correlated messages

In this letter, a graph-based distributed reconstruction source coding with correlated messages is considered. As a result, it is shown that a source can be reliably represented into correlated messages which can be associated with a nearly semi-regular bipartite graph, and can be reconstructed at the two separate decoders with certain amount of global distortion. By using information-theoretic approach, an inner bound to the achievable rate-distortion region of this multiterminal problem is presented.