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.

Office Location: | 233 Physics Bldg, Durham, NC 27708 |

Office Phone: | (919) 660-2802 |

Email Address: | |

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 University 1968 B.S. Villanova University 1963

**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**

**Recent Publications**- 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) - W.K. Allard,
*A boundary approximation algorithm for planar domains*(Preprint, 2009) [pdf] - Allard, WK,
*Total variation for image denoising: III. Examples*, SIAM Journal on Imaging Sciences, vol. 2 (2009) [pdf] - Allard, WK,
*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] - Allard, WK,
*Total variation regularization for image denoising, I. Geometric theory*, SIAM Journal on Mathematical Analysis, vol. 39 no. 4 (2007), pp. 1150-1190, ISSN 0036-1410 [Gateway.cgi], [doi]

- W.K. Allard, Guanglian Chen, Mauro Maggioni,