Research Interests for William K Allard

Research Interests: Scientific computing, particularly distributed computing; differential geometry; geometric measure theory; partial differential equations.

1. My main research effort will be to continue my collaboration with the Data Driven Modeling and Analysis group at LANL. This group works for the most part in the area of image processing. 2. I will continue to work as an investigator on Tom Kepler's NIH contract. My contribution is to provide analyis and parallel computing support for simulations.

Recent Publications
  1. W.K. Allard, Total variation regularization for image denoising: I. Geometric theory using total variation regularization; II Examples., SIAM Journal on Mathematical Analysis, vol. 39 no. 4 (November, 2007) [~wka] [abs]
  2. W.K. Allard, Total variation for image denoising: II. Examples, SIAM Journal on Imaging Sciences (Submitted, 2007) [pdf]
  3. W.K. Allard, Total variation for image denoising: III. Examples, SIAM Journal on Imaging Sciences (Submitted, 2007) [pdf]
  4. William K. Allard, The reconstruction of surfaces in R3 by reflection, The Journal of Geometric Analysis, vol. 9 no. 5 (Accepted, 0) [ps]
  5. William K Allard, An Introduction to the Deferred Execution Tool, Proceedings of Ninth SIAM Annual Conference on Parallel Processing for Scientific Computing, (SIAM) March 1999