Scholars@Duke
William K. Allard

William K. Allard

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

The reconstruction of surfaces in R3 by reflection

Journal Article The Journal of Geometric Analysis · 1999 Link to item Cite