This study focuses on the development of new post-detection image processing methods meant for joint recovery of a temporal succession of the atmospherically corrupted images, corresponding to an unknown variable object, and simultaneous estimation of an unknown blur function. The key to these techniques, called multiple object speckle interferometry (MOSI) and multiple object deconvolution (MODE), is the generalized projecting onto convex sets (POCS) methodology exploiting such a qualitative information as: linearity and shift-invariance of a whole optical channel, non-negativity and spatio-temporal boundedness of the object's brightness distribution, statistical wide-sense temporal stationarity of the phase distortions combining both quasi-static (deterministic) aberrations and rapidly- fluctuating (turbulence-induced) perturbations. The proposed techniques are referenceless: at modest SNR, it is able to offer high resolution without appealing to an auxiliary wavefront sensor, natural or laser guide star and adaptive optics. Among other things, any detailed structural and/or statistical information about the net transfer function and object itself to be imaged is not essential. The basic reasons for the convergence and uniqueness of the derived algorithms are briefly elucidated. Several applications of the MOSI and MODE being of interest to defense and observational astrophysics are numerically exemplified, including the preliminary imagery results of the field trial on ground-based observation of the Space Shuttle Atlantis docked with Mir Space Station (June, 1995). The data- collection scheme being implied within the described methods is shown to be general enough to accommodate to a wide variety of the viewing scenarios, ranging form the terrestrial through aircraft (balloon)-borne to space-based observations affected by any type of phase distortions being the wide-sense stationary in time.