Image processing

I was involved in a project which tries to obtain clearer and sharper image in inverse problems and image reconstruction. Our approach follows that of Osher and Rudin which uses the total variation in the image as a measure by which we pick the best image.

Dave Dobson and I applied this idea to a linearized problem in electrical impedance tomography. We also analyzed the limitations of such an approach as well as computational issues related to it.

Reference material

  1. An image enhancement technique for electrical impedance tomography. (with D. Dobson), Inverse Problems, 10 (1994), pp. 317-334.
  2. Recovery of blocky images from noisy and blurred data. (with D. Dobson), SIAM J. Appl. Math., 56 (1996), pages 1181-1198 (view)
  3. A computational algorithm for minimizing total variation in image restoration. (with Y. Li), IEEE Trans. Image Processing, 5 (1996), pages 987-995. (view)