کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
442532 692285 2015 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A unified approach towards reconstruction of a planar point set
ترجمه فارسی عنوان
رویکرد یکپارچه در جهت بازسازی یک نقطه ای مسطح
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی


• The algorithm works for boundary samples as well as dot patterns.
• Theoretical guarantee has been provided.
• Extensive experimentation shows that this approach works well.

Reconstruction problem in R2R2 computes a polygon which best approximates the geometric shape induced by a given point set, S  . In R2R2, the input point set can either be a boundary sample or a dot pattern. We present a Delaunay-based, unified method for reconstruction irrespective of the type of the input point set. From the Delaunay Triangulation (DT) of S, exterior edges are successively removed subject to circle and regularity constraints to compute a resultant boundary which is termed as ec-shape and has been shown to be homeomorphic to a simple closed curve. Theoretical guarantee of the reconstruction has been provided using r  -sampling. In practice, our algorithm has been shown to perform well independent of sampling models and this has been illustrated through an extensive comparative study with existing methods for inputs having varying point densities and distributions. The time and space complexities of the algorithm have been shown to be O(nlogn) and O(n) respectively, where n is the number of points in S.

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ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Graphics - Volume 51, October 2015, Pages 90–97
نویسندگان
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