کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
433816 689633 2016 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
From prima quadraginta octant to lattice sphere through primitive integer operations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
From prima quadraginta octant to lattice sphere through primitive integer operations
چکیده انگلیسی

We present here the first integer-based algorithm for constructing a well-defined lattice sphere specified by integer radius and integer center. The algorithm evolves from a unique correspondence between the lattice points comprising the sphere and the distribution of sum of three square numbers in integer intervals. We characterize these intervals to derive a useful set of recurrences, which, in turn, aids in efficient computation. Each point of the lattice sphere is determined by resorting to only a few primitive operations in the integer domain. The symmetry of its quadraginta octants provides an added advantage by confining the computation to its prima quadraginta octant. Detailed theoretical analysis and experimental results have been furnished to demonstrate its simplicity and elegance.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Theoretical Computer Science - Volume 624, 18 April 2016, Pages 56–72
نویسندگان
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