کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773597 1413513 2017 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An analysis of wavelet frame based scattered data reconstruction
ترجمه فارسی عنوان
تجزیه و تحلیل فریم های موجک بر اساس اطلاعات پراکنده بازسازی
کلمات کلیدی
فرشته، بازسازی اطلاعات پراکنده، â؟ 1 - حداقل مربعات مجاز، ترمیم تصویر، تجزیه و تحلیل تقریبی همبسته،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In real world applications many signals contain singularities, like edges in images. Recent wavelet frame based approaches were successfully applied to reconstruct scattered data from such functions while preserving these features. In this paper we present a recent approach which determines the approximant from shift invariant subspaces by minimizing an ℓ1-regularized least squares problem which makes additional use of the wavelet frame transform in order to preserve sharp edges. We give a detailed analysis of this approach, i.e., how the approximation error behaves dependent on data density and noise level. Moreover, a link to wavelet frame based image restoration models is established and the convergence of these models is analyzed. In the end, we present some numerical examples, for instance how to apply this approach to handle coarse-grained models in molecular dynamics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 42, Issue 3, May 2017, Pages 480-507
نویسندگان
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