کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6423169 1341255 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A singular value decomposition for the Shack-Hartmann based wavefront reconstruction
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A singular value decomposition for the Shack-Hartmann based wavefront reconstruction
چکیده انگلیسی

We study the problem of reconstructing a wavefront from measurements of Shack-Hartmann-type sensors. Mathematically, this leads to the problem of reconstructing a function from a discrete set of averages of the gradient.After choosing appropriate function spaces this is an underdetermined problem for which least squares solutions and generalized inverses can be used. We explore this problem in more detail for the case of periodic functions on a quadratic aperture, where we calculate the singular value decomposition of the associated forward operator. The nonzero singular values can be estimated which shows that asymptotically, with increasing number of measurements, the reconstruction problem becomes an ill-posed problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 8, February 2012, Pages 2186-2199
نویسندگان
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