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The three-node multiterminal lossy source coding problem is investigated. Wederive an inner bound to the general rate-distortion region of this problemwhich is a natural extension of the seminal work by Kaspi'85 on the interactivetwo-terminal source coding problem. It is shown that this (rather involved)inner bound contains several rate-distortion regions of some relevant sourcecoding settings. In this way, besides the non-trivial extension of theinteractive two terminal problem, our results can be seen as a generalizationand hence unification of several previous works in the field. Specializing toparticular cases we obtain novel rate-distortion regions for several lossysource coding problems. We finish by describing some of the open problems andchallenges. However, the general three-node multiterminal lossy source codingproblem seems to offer a formidable mathematical complexity.

The Three-Terminal Interactive Lossy Source Coding Problem