High Quality Compatible Triangulations for 2D Shape Morphing

High Quality Compatible Triangulations for 2D Shape Morphing

Abstract

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.

Publication

Zhiguang Liu, Howard Leung, Liuyang Zhou and Hubert P. H. Shum,
"High Quality Compatible Triangulations for 2D Shape Morphing",
Proceedings of the 2015 ACM Symposium on Virtual Reality Software and Technology (VRST)

Citation=4##

## Citation count from Google Scholar as of 2018

Downloads

YouTube

References

BibTeX

@inproceedings{liu15high,
 author={Liu, Zhiguang and Leung, Howard and Zhou, Liuyang and Shum, Hubert P. H.},
 booktitle={Proceedings of the 2015 ACM Symposium on Virtual Reality Software and Technology},
 series={VRST '15},
 title={High Quality Compatible Triangulations for 2D Shape Morphing},
 year={2015},
 month={Nov},
 pages={85--94},
 numpages={10},
 doi={10.1145/2821592.2821594},
 isbn={978-1-4503-3990-2},
 publisher={ACM},
 Address={New York, NY, USA},
 location={Beijing, China},
}

EndNote/RefMan

TY  - CONF
AU  - Liu, Zhiguang
AU  - Leung, Howard
AU  - Zhou, Liuyang
AU  - Shum, Hubert P. H.
T2  - Proceedings of the 2015 ACM Symposium on Virtual Reality Software and Technology
TI  - High Quality Compatible Triangulations for 2D Shape Morphing
PY  - 2015
Y1  - Nov 2015
SP  - 85
EP  - 94
DO  - 10.1145/2821592.2821594
SN  - 978-1-4503-3990-2
PB  - ACM
ER  - 

Plain Text

Zhiguang Liu, Howard Leung, Liuyang Zhou and Hubert P. H. Shum, "High Quality Compatible Triangulations for 2D Shape Morphing," in VRST '15: Proceedings of the 2015 ACM Symposium on Virtual Reality Software and Technology, pp. 85-94, Beijing, China, ACM, Nov 2015.

Similar Research

 

         

Last update: 10/03/2019