کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638076 1631994 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reconstruction of polygonal shapes from sparse Fourier samples
ترجمه فارسی عنوان
بازسازی اشکال چند ضلعی از نمونه های نزول فوریه
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper, we want to reconstruct polygonal shapes in the real plane from as few Fourier samples as possible, that is, we want to recover an original polygonal domain DD with NN vertices by using sparse sampling values of the Fourier transform of the characteristic function of the polygonal domain. We consider only simply-connected polygons, i.e. polygons with non-intersecting edges. For this purpose, we need to reconstruct the vertices of the polygon. In the case of non-convex polygons, we also need to reconstruct the order of the vertices to determine the correct boundary line segments. The method presented here is based on the Prony method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 297, 1 May 2016, Pages 117–131
نویسندگان
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