Name
Abstract | ||
|---|---|---|
This paper presents a new way of describing cross fields based on fourth order tensors. We prove that the new formulation is forming a linear space in $\mathbb{R}^9$. The algebraic structure of the tensors and their projections on $\mbox{SO}(3)$ are presented. The relationship of the new formulation with spherical harmonics is exposed. This paper is quite theoretical. Due to pages limitation, few practical aspects related to the computations of cross fields are exposed. Nevetheless, a global smoothing algorithm is briefly presented and computation of cross fields are finally depicted. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/978-3-030-13992-6_6 | IMR |
DocType | ISSN | Citations |
Conference | Roca X. and Loseille A. (eds.), 27th International Meshing
Roundtable. IMR 2018, Springer, Cham, Lecture Notes in Computational Science
and Engineering, No. 127, 2019, 89-108 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandre Chemin | 1 | 0 | 0.34 |
| François Henrotte | 2 | 25 | 2.88 |
| Jean-François Remacle | 3 | 247 | 37.52 |
| van schaftingen | 4 | 0 | 1.01 |