Partial Differential Equation Based Image Processing and Applications

Main coverage: Basic concepts of PDE based image processing and related works. PDE based image interpolation. PDE based image restoration. PDE based speckle reduction from images. Generalization to blind deconvolution problems. In this work, basic concepts of PDE based image processing, its applications and related works has been discussed. The main problems which are addressed in this work include image interpolation, image restoration, speckle reduction and generalization of restoration problems to blind deconvolution problems. Applications of work include on the images arising from various imaging domains such as medical images, simple digital images, microscopic images and astronomical images.