کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
419133 681745 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polygonal estimation of planar convex-set perimeter from its two projections
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Polygonal estimation of planar convex-set perimeter from its two projections
چکیده انگلیسی

This paper deals with the problem of extracting qualitative and quantitative information from few tomographic projections of an object without reconstructing this object. It focuses on the extraction of quantitative information, precisely the border perimeter estimation for a convex set from horizontal and vertical projections. In the case of a multiple reconstruction, lower and upper bounds for the perimeter are established. In the case of a unique reconstruction, we give conditions and a method for constructing an inscribed polygon in a convex set only from the convex-set projections. An inequality on border perimeter is proved when a convex set is included in another one. The convergence of the polygon perimeter, when the number of vertices increases, is established for such polygons.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 161, Issue 15, October 2013, Pages 2252–2268
نویسندگان
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