Comparisons among different morphing techniques. (a) shows the source horse meshes in different views; (e) shows the target horse mesh in different views. The first row shows the morphing sequence using linear interpolation method, the second row shows the morphing sequence using Laplacian morphing method, and the third row shows the morphing sequence using our approach.
Abstract
Recently, animations with
deforming objects have been frequently used in various computer graphics
applications. Morphing of objects is one of the techniques which realize
shape transformation between two or more existing objects. In this
paper, we present a novel morphing approach for 3D triangular meshes
with the same topology. The basic idea of our method is to interpolate
the mean curvature flow of the input meshes as the curvature flow
Laplacian operator encodes the intrinsic local information of the mesh.
The in-between meshes are recovered from the interpolated mean curvature
flow in the dual mesh domain due to the simplicity of the neighborhood
structure of dual mesh vertices. Our approach can generate visual
pleasing and physical plausible morphing sequences and avoid the
shrinkage and kinks appeared in the linear interpolation method.
Experimental results are presented to show the applicability and
flexibility of our approach.
The dual Laplacian method
was originally proposed for mesh editing. We adopted the advantages of
the dual Laplacian for mesh morphing. To learn more about dual Laplacian
coordinates for mesh surfaces, please refer to:
* Oscar Kin-Chung Au, Chiew-Lan Tai, Ligang Liu, and Hongbo Fu. Dual
Laplacian editing for meshes. IEEE Transactions on Visualization and
Computer Graphics, 2006, 12(3): 386-395. [Project
page]
We would like to thank
Dr. Hongxin Zhang and Dr. Dong Xu for providing the human models used in
the paper. This work is supported by National Natural Science Foundation
of China (No. 60473130, 60503067), and Foundation of State Key Basic
Research 973 Development Programming Item (No. 2004CB318000) of China.
title = {Dual Laplacian Morphing for Triangular Meshes},
author = {Jianwei Hu and Ligang Liu and Guozhao Wang}
journal = {Computer Animation and Virtual Worlds (Proceedings of CASA)},
volume = {18},
number = {4-5},
pages = {271-277},
year = {2007}
}