Restoration of scattered optical imaging is among the most important research topics in optical imaging. Various techniques have been proposed for the restoration of imaging in different scattering environments. The deconvolution-based method using speckle correlations is a promising technique achieving high image quality, fast recovery speed, and ease of integration. Herein, we briefly review the current progress of speckle correlation imaging. After discussing the principle of optical memory effect and deconvolution, we introduce new physical characteristics of the point spread functions (PSF) and their applications to image recovery processes, concluding with indirect methods for obtaining the PSF. Finally, a new concept called plenoptics is introduced. Studies on the plenoptics of light fields are expected to provide more information in more complex scattering environments and realize specific applications of scattering optical imaging technique in biology, medicine, ocean, military, and daily life.