Quad Mesh Quantization Without a T‐Mesh
| dc.contributor.author | Coudert‐Osmont, Yoann | en_US |
| dc.contributor.author | Desobry, David | en_US |
| dc.contributor.author | Heistermann, Martin | en_US |
| dc.contributor.author | Bommes, David | en_US |
| dc.contributor.author | Ray, Nicolas | en_US |
| dc.contributor.author | Sokolov, Dmitry | en_US |
| dc.contributor.editor | Alliez, Pierre | en_US |
| dc.contributor.editor | Wimmer, Michael | en_US |
| dc.date.accessioned | 2024-03-23T10:14:52Z | |
| dc.date.available | 2024-03-23T10:14:52Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | Grid preserving maps of triangulated surfaces were introduced for quad meshing because the 2D unit grid in such maps corresponds to a sub‐division of the surface into quad‐shaped charts. These maps can be obtained by solving a mixed integer optimization problem: Real variables define the geometry of the charts and integer variables define the combinatorial structure of the decomposition. To make this optimization problem tractable, a common strategy is to ignore integer constraints at first, then to enforce them in a so‐called quantization step. Actual quantization algorithms exploit the geometric interpretation of integer variables to solve an equivalent problem: They consider that the final quad mesh is a sub‐division of a T‐mesh embedded in the surface, and optimize the number of sub‐divisions for each edge of this T‐mesh. We propose to operate on a decimated version of the original surface instead of the T‐mesh. It is easier to implement and to adapt to constraints such as free boundaries, complex feature curves network . | en_US |
| dc.description.number | 1 | |
| dc.description.sectionheaders | ARTICLES | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 43 | |
| dc.identifier.doi | 10.1111/cgf.14928 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 14 pages | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.14928 | |
| dc.identifier.uri | https://diglib.eg.org/handle/10.1111/cgf14928 | |
| dc.publisher | © 2024 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd. | en_US |
| dc.subject | modelling | |
| dc.subject | mesh generation | |
| dc.subject | surface parameterization | |
| dc.title | Quad Mesh Quantization Without a T‐Mesh | en_US |