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William K. Allard

Professor Emeritus of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
233 Physics Bldg, Durham, NC 27708
Office hours By appointment. Email to wka@math.duke.edu  

Overview


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.

Current Appointments & Affiliations


Professor Emeritus of Mathematics · 2012 - Present Mathematics, Trinity College of Arts & Sciences

Recent Publications


Total variation for image denoising: III. Examples

Journal Article SIAM Journal on Imaging Sciences · 2009 Link to item Cite

Total variation regularization for image denoising, geometric theory

Journal Article SIAM Journal on Mathematical Analysis · December 1, 2007 Let Ω be an open subset of ℝn, where 2 < n < 7; we assume n > 2 because the case n = 1 has been treated elsewhere (see [S. S. Alliney, IEEE Trans. Signal Process., 40 (1992), pp. 1548-1562] and is quite different from the case n > 1; we assume n ≤ 7 becaus ... Full text Cite

Total variation regularization for image denoising: I. Geometric theory using total variation regularization; II Examples.

Journal Article SIAM Journal on Mathematical Analysis · November 2007 http://www.math.duke.edu/~wka ... Link to item Cite
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Recent Grants


EMSW21-RTG: Geometric, Topological and Statistical Methods for Analyzing Massive Datasets

Inst. Training Prgm or CMEKey Faculty · Awarded by National Science Foundation · 2011 - 2018

Multiscale Systems Immunology

ResearchInvestigator · Awarded by National Institutes of Health · 2010 - 2015

Multiscale Integrative Immunology for Adjuvant Development

ResearchInvestigator · Awarded by National Institutes of Health · 2005 - 2010

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Education, Training & Certifications


Brown University · 1968 Ph.D.
Villanova University · 1963 B.S.