Zint D, Grosso R (2021)
Publication Type: Conference contribution
Publication year: 2021
Publisher: SciTePress
Book Volume: 1
Pages Range: 67-74
Conference Proceedings Title: VISIGRAPP 2021 - Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications
ISBN: 9789897584886
In numerical simulations and computer graphics meshes are often required to have varying element sizes. High resolution, i.e. small elements, should be only used where necessary. The transition between element sizes requires introducing irregular vertices. In this work, we examine the occurance of irregular vertices in transition regions by setting up an advancing front triangulation that generates optimal transitions. We establish a relation between the appearance of irregular vertices and the properties of the size function and show that a linear transition between different element sizes can be achieved without any singularities on the interior of the transition. Therefore, we can optimize triangulations by setting transition fronts accordingly. These results are used to estimate properties of block-structured grids, e.g. how many blocks are required to represent a given domain correctly.
APA:
Zint, D., & Grosso, R. (2021). On the link between mesh size adaptation and irregular vertices. In A. Augusto Sousa, Vlastimil Havran, Jose Braz, Kadi Bouatouch (Eds.), VISIGRAPP 2021 - Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (pp. 67-74). SciTePress.
MLA:
Zint, Daniel, and Roberto Grosso. "On the link between mesh size adaptation and irregular vertices." Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, VISIGRAPP 2021 Ed. A. Augusto Sousa, Vlastimil Havran, Jose Braz, Kadi Bouatouch, SciTePress, 2021. 67-74.
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