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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Annals of Mathematics and Physics - Peertechz Publications,
2023-07-01.
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| LEADER | 00000 am a22000003u 4500 | ||
|---|---|---|---|
| 001 | peertech__10_17352_amp_000088 | ||
| 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. |