Anisotropy and Cross Fields
| dc.contributor.author | Simons, Lance | en_US |
| dc.contributor.author | Amenta, Nina | en_US |
| dc.contributor.editor | Hu, Ruizhen | en_US |
| dc.contributor.editor | Lefebvre, Sylvain | en_US |
| dc.date.accessioned | 2024-06-20T07:54:54Z | |
| dc.date.available | 2024-06-20T07:54:54Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We consider a cross field, possibly with singular points of valence 3 or 5, in which all streamlines are finite, and either end on the boundary or form cycles. We show that we can always assign lengths to the two cross field directions to produce an anisotropic orthogonal frame field. There is a one-dimensional family of such length functions, and we optimize within this family so that the two lengths are everywhere as similar as possible. This gives a numerical bound on the minimal anisotropy of any quad mesh exactly following the input cross field. We also show how to remove some limit cycles. | en_US |
| dc.description.number | 5 | |
| dc.description.sectionheaders | Meshing | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 43 | |
| dc.identifier.doi | 10.1111/cgf.15132 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 9 pages | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.15132 | |
| dc.identifier.uri | https://diglib.eg.org/handle/10.1111/cgf15132 | |
| dc.publisher | The Eurographics Association and John Wiley & Sons Ltd. | en_US |
| dc.rights | Attribution 4.0 International License | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | CCS Concepts: Computing methodologies → Mesh geometry models; Shape analysis | |
| dc.subject | Computing methodologies → Mesh geometry models | |
| dc.subject | Shape analysis | |
| dc.title | Anisotropy and Cross Fields | en_US |
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