Computational and Applied Math Proseminar

Tuesday, September 16, 2008, 12:00 p.m. ECG 317

Kangyu Ni

Dept. Math. & Stats.

A Texture Synthesis Approach to Euler's Elastica Variational Inpainting

Abstract We present a new automatic technique for wire and scratch removal (inpainting) that works well in both textured and non-textured areas of an image. Chan, Kang, and Shen introduced a technique for inpainting using an Euler's elastica energy-based variational model that works well for repairing smooth areas of the image while maintaining edge detail. The technique is slow, due to a stiff 4th order PDE solution. Efros and Leung's texture synthesis techniques can be used for inpainting, which works well for areas of an image that contain repeating patterns. We have combined these two techniques to accelerate and constrain the solution of the 4th order PDE. Instead of a stiff minimization, we have a combinatorial optimization problem that is much quicker to solve and more stable.

This is a joint work with Doug Roble from Digital Domain and Tony Chan from UCLA.

For further information please contact: mittelmann@asu.edu