Covariance edges matrix of geometric elements

<p>In this paper, we introduce a new matrix associated with polygons and polyhedrons, namely the covariance edges matrix. We show that, for a regular polygon or polyhedron the corresponding matrix is proportional to the identity of size two or three. Based on this fact, we propose, as an appli...

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সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Florian Blachere (লেখক), Houman Borouchaki (লেখক)
বিন্যাস: গ্রন্থ
প্রকাশিত: Annals of Mathematics and Physics - Peertechz Publications, 2023-07-01.
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042 |a dc 
100 1 0 |a Florian Blachere  |e author 
700 1 0 |a Houman Borouchaki  |e author 
245 0 0 |a Covariance edges matrix of geometric elements 
260 |b Annals of Mathematics and Physics - Peertechz Publications,   |c 2023-07-01. 
520 |a <p>In this paper, we introduce a new matrix associated with polygons and polyhedrons, namely the covariance edges matrix. We show that, for a regular polygon or polyhedron the corresponding matrix is proportional to the identity of size two or three. Based on this fact, we propose, as an application, several algebraic shape quality measures for convex polygons or polyhedrons. Furthermore, this matrix may be related to the metric of a simplex. Future studies will be devoted to the definition of the covariance edges matrix for higher elements and real applications to mesh optimisation.</p> 
540 |a Copyright © Florian Blachere et al. 
546 |a en 
655 7 |a Research Article  |2 local 
856 4 1 |u https://doi.org/10.17352/amp.000088  |z Connect to this object online.