Liu, HengHengLiuBommes, DavidDavidBommes0000-0002-3190-13412024-10-262024-10-262023https://boris-portal.unibe.ch/handle/20.500.12422/175934The main robustness issue of state-of-the-art frame field based hexahedral mesh generation algorithms originates from non-meshable topological configurations, which do not admit the construction of an integer-grid map but frequently occur in smooth frame fields. In this article, we investigate the topology of frame fields and derive conditions on their meshability, which are the basis for a novel algorithm to automatically turn a given non-meshable frame field into a similar but locally meshable one. Despite local meshability is only a necessary but not sufficient condition for the stronger requirement of meshability, our algorithm increases the 2% success rate of generating valid integer-grid maps with state-of-the-art methods to 58%, when compared on the challenging HexMe dataset [Beaufort et al. 2022]. The source code of our implementation and the data of our experiments are available at https://lib.algohex.eu.en000 - Computer science, knowledge & systems500 - Science::510 - Mathematics600 - Technology::620 - Engineeringarticle10.48350/19487110.1145/3592457