Image Inpainting and Enhancement using Fractional Order Variational Model

G. Sridevi; Srinivas Kumar

doi:10.14429/dsj.67.10665

G. Sridevi Department of Electronics and Communication Engineering, Aditya Engineering College, Surampalem
Srinivas Kumar Department of Electronics and Communication Engineering, JNT University, Kakinada

DOI: https://doi.org/10.14429/dsj.67.10665

Keywords: Fractional calculus, Image inpainting, PDE models, Variational model

Abstract

The intention of image inpainting is to complete or fill the corrupted or missing zones of an image by considering the knowledge from the source region. A novel fractional order variational image inpainting model in reference to Caputo definition is introduced in this article. First, the fractional differential, and its numerical methods are represented according to Caputo definition. Then, a fractional differential mask is represented in 8-directions. The complex diffusivity function is also defined to preserve the edges. Finally, the missing regions are filled by using variational model with fractional differentials of 8-directions. The simulation results and analysis display that the new model not only inpaints the missing regions, but also heightens the contrast of the image. The inpainted images have better visual quality than other fractional differential filters.

Author Biographies

G. Sridevi, Department of Electronics and Communication Engineering, Aditya Engineering College, Surampalem

Ms G. Sridevi received her BTech from Nagarjuna University and MTech from JNT University, Kakinada. Presently she is pursuing her PhD in JNT University, Kakinada. Currently working as an Associate Professor in the Department of ECE, Aditya Engineering College, Surampalem, AP. Her areas of interest include : Image restoration, enhancement, and fractional calculus.

Srinivas Kumar, Department of Electronics and Communication Engineering, JNT University, Kakinada

Dr S. Srinivas Kumar received his MTech from JNT University, Hyderabad and PhD from IIT, Kharagpur. Currently working as a Professor in the department of ECE and Director (R&D), JNT University, Kakinada, India. He has 28 years of experience in teaching and research. He has published more than 50 research papers in National and International journals. His research interests are : Digital image processing and applications of artificial neural networks and fuzzy logic to engineering problems.