Partial Differential Equations and Digital Image Processing : A Review

The wide distribution of digital images in recent years in social media and electronic devices invokes the research activities of developing different algorithms to enhance this type of multimedia. One of the recent research approaches was involving partial differential equations (PDE) on digital image processing operations to enhance the appearance of these images, removing noise, zooming and different other applications. In this paper, a description of the relation between image processing and derivatives is explained followed by a review of recent applications of PDE on digital images in addition to suggesting more possible aspects of research in PDE-Digital image studies.