We consider an interactive browsing environment, with greedy optimization of a current view, conditioned on the availability of previously transmitted information for other (possibly nearby) views, and subject to a transmission budget constraint. Texture information is available at a server in the form of scalably compressed images, corresponding to a multitude of original image views. Surface geometry is also represented at the server in a scalable fashion. At any point in the interactive browsing experience, the server must decide how to allocate transmission resources between the delivery of new elements from the various original view bit-streams and new elements from the geometry bit-stream. The proposed framework may be interpreted as a greedy strategy for non-linear approximation of the plenoptic function, since it considers both view sampling and rate-distortion criteria. We particularly elaborate upon a novel geometry- and distortion-sensitive strategy for blending the informa...