Published articles and the journals in which they appear

• View/save   Scale recognition, regularization parameter selection, and Meyer's G norm in total variation regularization, submitted to the new SIAM journal Multiscale Modeling and Simulation. With Jean-Francois Aujol and Tony Chan.

• Access/visit   A Tutorial and Java Applet for the Jacobi, Gauss-Seidel and SOR Methods, to appear in 2005 in The Journal of Online Mathematics and its Applications (JOMA).

• View/save   Edge-preserving and Scale-dependent Properties of Total Variation Regularization, Inverse Problems, Volume 19, Number 6 (December 2003), pp. 165 - 187. With Tony Chan.

• View/save   Why it Might Seem that Christmas is Coming Early this Year, The College Mathematics Journal, Volume 32, Number 5 (November 2001), pp. 376 - 377.

• View/save   Spatially Adaptive Local Feature-Driven Total Variation Minimizing Image Restoration, Proceedings of the SPIE Annual Meeting, Volume 3137 (July 1997), pp. 222 - 233. With Peter Blomgren and Tony Chan.

Other work that is fairly close to being submitted for publication

• The $\alpha$ Algorithm in Denoising Images, to be submitted to IEEE Transactions on Image Processing or another imaging science journal. With Guy Gilboa.

• Accurate Intensity-restoring Total Variation Regularization, to be submitted to IEEE Transactions on Image Processing or another imaging science journal. With Tony Chan.

• Image Decomposition and Texture Recognition using AIRTV Regularization , to be submitted to IEEE Transactions on Image Processing or another imaging science journal. With Stan Osher and Jean-Francois Aujol.

• Scale-selective Image Resolution using Adaptive Total Variation Regularization, to be submitted to SIAM Journal on Applied Mathematics. With Tony Chan. Here is an interesting animation of a simple one-dimensional diffusion which is the result of applying an adaptive total variation regularization scheme that is described in this paper.

• Implicit vs. Explicit Time-marching in Total Variation Minimizing Anisotropic Diffusion, to be submitted to either SIAM Journal on Numerical Analysis or SIAM Journal on Applied Mathematics. Here is a brief (rough version of a) description of the project.

Research supervision

• I supervised two Pepperdine undergraduates in a project. They presented their results at the 2005 Joint Meetings in Atlanta. We may refine this work and submit it to an undergraduate research journal.