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Images can be effectively and efficiently modeled as a random output field of a non-constant spectral shaping filter input with a certain low bit rate excitation field. The shaping filter is taken to be the inverse of a field-adaptive linear prediction filter. The excitation field is taken to be a closed-loop weighted approximation of the LP residual. In this paper, we focus on approximations that are field extensions of 1D so-called Multi-Pulse and Regular-Pulse excitations that have been successfully applied in weighted analysis-by-synthesis speech coding algorithms.