Image Inpainting with the Navier-Stokes Equations

Image inpaining "involves filling in part of an image (or video) using information for the surrounding area" [1]. This report summarizes an application of numerical solutions to the Navier-Stokes equations for this well-studied image processing problem. It exploits the remarkable relationship between the steady state solution of the streamfunction in fluid flow and the (grayscale) image intensity level in image processing. This report is a follow-up of an approach first discovered in 2001 by A. Bertozzi, et. al in [1].

• Type: Technical Report
• Authors: Wilson Au, Ryo Takei
• Keywords: Image Inpainting, Image Processing, Navier-Stokes Equations