کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
527460 869325 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On some applications of generalized functionality for arithmetic discrete planes
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر چشم انداز کامپیوتر و تشخیص الگو
پیش نمایش صفحه اول مقاله
On some applications of generalized functionality for arithmetic discrete planes
چکیده انگلیسی

Naive discrete planes are well known to be functional on a coordinate plane. The aim of our paper is to extend the functionality concept to a larger family of arithmetic discrete planes, by introducing suitable projection directions (α1, α2, α3) satisfying α1v1 + α2v2 + α3v3 = w. Several applications are considered. We first study certain local configurations, that is, the (m, n)-cubes introduced in Ref. [J. Vittone, J.-M. Chassery, (n,m)-cubes and Farey Nets for Naive Planes Understanding, in: DGCI, 8th International Conference, Lecture Notes in Computer Science, vol. 1568, Springer-Verlag, 1999, pp. 76–87.]. We compute their number for a given (m, n) and study their statistical behaviour. We then apply functionality to formulate an algorithm for generating arithmetic discrete planes, inspired by Debled-Renesson [I. Debled-Renesson, Reconnaissance des Droites et Plans Discrets, Thèse de doctorat, Université Louis Pasteur, Strasbourg, France, 1995.]. We also prove that an arithmetic discrete plane may be endowed with a combinatorial surface structure, in the spirit of Ref. [Y. Kenmochi, A. Imiyam Combinatorial topologies for discrete planes, in: DGCI, 11th International Conference, DGCI 2003, Lecture Notes in Computer Science, vol. 2886, Springer-Verlag, 2003, pp. 144–153.].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Image and Vision Computing - Volume 25, Issue 10, 1 October 2007, Pages 1671–1684
نویسندگان
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