Technical Section: A novel constrained texture mapping method based on harmonic map

Authors:
Yanwen Guo;Jin Wang;Hanqiu Sun;Xiufen Cui;Qunsheng Peng
Affiliations:
State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310027, China and Department of Mathematics, Zhejiang University, Hangzhou 310027, China;State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310027, China;Department of Computer Science and Engineering, CUHK, Hong Kong;State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310027, China;State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310027, China and Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Venue:
Computers and Graphics
Year:
2005

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Abstract

In this paper, we present a novel constrained texture mapping method based on the harmonic map. We first project the surface of a 3D model on a planar domain by an angle-based-flattening technique and perform a parametrization. The user then specifies interactively the constraints between the selected feature points on the parametric domain of the 3D model and the corresponding pixels on the texture image; the texture coordinates of other sample points on the 3D model are determined based on harmonic mapping between the parametric domain of the model and the texture image; finally we apply an adaptive local mapping refinement to improve the rendering result in real-time. Compared with other interactive methods, our method provides an analytically accurate solution to the problem, and the energy minimization characteristic of the harmonic map reduces the potential distortion that may result in the constrained texture mapping. Experimental data demonstrate good rendering effects generated by the presented algorithm.