- Professor Emeritus of Mathematics

**External address:**233 Physics Bldg, Durham, NC 27708

**Internal office address:**Box 90320, Durham, NC 27708-0320

**Phone:**(919) 660-2802

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# William K. Allard

**External address: **233 Physics Bldg, Durham, NC 27708**Internal office address: **Box 90320, Durham, NC 27708-0320**Phone: **(919) 660-2802
### Research Areas and Keywords

##### Analysis

##### Computational Mathematics

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.

##### Education & Training

### Selected Grants

## Mathematics

## Academics

## Current Students

## Future Students

- Professor Emeritus of Mathematics

Geometric Measure Theory
Multiresolution Geometrical Analysis
Image Processing

Multiresolution Geometrical Analysis

Ph.D., Brown University 1968

B.S., Villanova University 1963

EMSW21-RTG: Geometric, Topological awarded by National Science Foundation (Key Faculty). 2011 to 2018

Multiscale Systems Immunology awarded by National Institutes of Health (Investigator). 2010 to 2015

Multiscale Integrative Immunology for Adjuvant Develpmnt awarded by National Institutes of Health (Investigator). 2005 to 2010

VIGRE awarded by National Science Foundation (Co-Principal Investigator). 2000 to 2003

Fundamental and Applied Problems in Granular Flow awarded by National Science Foundation (Co-Principal Investigator). 1998 to 2002

(98-0368) Application of Distributed Adaptive Mesh Refinement Techniques to Problems Involving Diffusion awarded by National Science Foundation (Principal Investigator). 1998 to 2001

(97-0663) High Resolution 3D Simulation for Surfactant Enhanced Aquifer Remediation awarded by Army Research Office (Co-Principal Investigator). 1995 to 1998

(95-0435) High Resoulution 3D Simulation for Surfactant Enhanced Aquifer Remediation awarded by Army Research Office (Co-Principal Investigator). 1996 to 1997

(86-0099) Mathematical Sciences: Regularity Theory of Parametric Elliptic Variational Problems awarded by National Science Foundation (Principal Investigator). 1985 to 1987

Allard, WK. "Total variation for image denoising: III. Examples." *SIAM Journal on Imaging Sciences* 2 (2009). (Academic Article)

Allard, WK. "Total variation regularization for image denoising: I. Geometric theory
using total variation regularization; II Examples." *SIAM Journal on Mathematical Analysis* 39.4 (November 2007). (Academic Article)

Allard, WK. "Total variation regularization for image denoising, I. Geometric theory." *SIAM JOURNAL ON MATHEMATICAL ANALYSIS* 39.4 (2007): 1150-1190.
Full Text

Allard, WK. "The reconstruction of surfaces in R3 by reflection (Accepted)." *The Journal of Geometric Analysis* 9.5 (1999). (Academic Article)

120 Science Drive

117 Physics Building

Campus Box 90320

Durham, NC 27708-0320

phone: 919.660.2800

fax: 919.660.2821

dept@math.duke.edu