High Quality Compatible Triangulations for 2D Shape Morphing

Liu, Zhiguang, Leung, Howard, Zhou, Liuyang and Shum, Hubert P. H. (2015) High Quality Compatible Triangulations for 2D Shape Morphing. In: Proceedings of the 21st ACM Symposium on Virtual Reality Software and Technology, 13th - 15th November 2015, Beijing, China.

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Official URL: http://dl.acm.org/citation.cfm?id=2821594


We propose a new method to compute compatible triangulations of two polygons in order to create a smooth geometric transformation between them. Compared with existing methods, our approach creates triangulations of better quality, that is, triangulations with fewer long thin triangles and Steiner points. This results in visually appealing morphing when transforming the shape from one to another. Our method consists of three stages. First, we compatibly decompose the target and source polygons into a set of sub-polygons, in which each source sub-polygon is triangulated. Second, we map the triangulation of a source sub-polygon onto the corresponding sub-polygon of the target polygon using linear transformation, thereby generating the compatible meshes between the source and the target. Third, we refine the compatible meshes, which can create better quality planar shape morphing with detailed textures. Experimental results show that our method can create compatible meshes of higher quality compared with existing methods, which facilitates smoother morphing process. The proposed algorithm is robust and computationally efficient. It can be applied to produce convincing transformations such as interactive 2D animation creation and special effects in movies.

Item Type: Conference or Workshop Item (Speech)
Subjects: G400 Computer Science
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User: Hubert Shum
Date Deposited: 11 Nov 2015 17:04
Last Modified: 10 Oct 2019 23:15
URI: http://nrl.northumbria.ac.uk/id/eprint/24453

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