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William K. Allard, Professor Emeritus

William K. Allard

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.

Contact Info:
Office Location:  029A Physics Bldg, Durham, NC 27708
Office Phone:  (919) 660-2861
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~wka

Office Hours:

Monday, Wednesday and Friday, 11:15am-12:15pm, 2:00pm-3:00pm, and by appointment.
Education:

Ph.D.Brown University1968
B.S.Villanova University1963
Specialties:

Applied Math
Analysis
Geometry
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.

Current Ph.D. Students   (Former Students)

    Recent Publications   (More Publications)

    1. WK Allard, Total variation for image denoising: III. Examples, SIAM Journal on Imaging Sciences, vol. 2 (2009) [pdf]
    2. WK 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]
    3. WK Allard, The reconstruction of surfaces in R3 by reflection, The Journal of Geometric Analysis, vol. 9 no. 5 (January, Accepted, 2013) [ps]
    4. W.K. Allard, Guanglian Chen, Mauro Maggioni, W.K. Allard, G. Chen, M. Maggioni Multiscale Geometric Methods for Data Sets II: Geometric Wavelets, to appear in ACHA (2011)
    5. W.K. Allard, A boundary approximation algorithm for planar domains (Preprint, 2009) [pdf]
    Recent Grant Support

    • Multiscale geometry for the analysis of high dimensional datasets, Washington State University, 113054 G002745, 2010/05-2013/05.      
    • Multiscale geometry for the analysis of high dimensional datasets, Department of Energy, Yet to be assigned, 2010/03-2013/03.      

     

    dept@math.duke.edu
    ph: 919.660.2800
    fax: 919.660.2821

    Mathematics Department
    Duke University, Box 90320
    Durham, NC 27708-0320