Mint: Discretely Integrable Moments for Symmetric Frame Fields
| dc.contributor.author | Vekhter, Josh | en_US |
| dc.contributor.author | Chen, Zhen | en_US |
| dc.contributor.author | Vouga, Etienne | en_US |
| dc.contributor.editor | Attene, Marco | en_US |
| dc.contributor.editor | Sellán, Silvia | en_US |
| dc.date.accessioned | 2025-06-20T07:40:01Z | |
| dc.date.available | 2025-06-20T07:40:01Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | This paper studies the problem of unconstrained (e.g. not orthogonal or unit) symmetric frame field design in volumes. Our principal contribution is a novel (and theoretically well-founded) local integrability condition for frame fields represented as a triplet of symmetric tensors of second, fourth, and sixth order. We also formulate a novel smoothness energy for this representation. To validate our discritization, we study the problem of seamless parameterization of volumetric objects. We compare against baseline approaches by formulating a smooth, integrable, and approximately octahedral frame objective in our discritization. Our method is the first to solve these problems with automatic placement of singularities while also enforcing a symmetric proxy for local integrability as a hard constraint, achieving significantly higher quality parameterizations, in expectation, relative to other frame field design based approaches. | en_US |
| dc.description.number | 5 | |
| dc.description.sectionheaders | Fields on Meshes | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 44 | |
| dc.identifier.doi | 10.1111/cgf.70193 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 26 pages | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.70193 | |
| dc.identifier.uri | https://diglib.eg.org/handle/10.1111/cgf70193 | |
| 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.title | Mint: Discretely Integrable Moments for Symmetric Frame Fields | en_US |