Issue No. 03 - March (2013 vol. 19)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.127
Dongping Li , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
Xin Sun , Microsoft Res. Asia, Beijing, China
Zhong Ren , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
S. Lin , Microsoft Res. Asia, Beijing, China
Yiying Tong , Dept. of Comput. Sci. & Eng., Michigan State Univ., East Lansing, MI, USA
Baining Guo , Microsoft Res. Asia, Beijing, China
Kun Zhou , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
We present TransCut, a technique for interactive rendering of translucent objects undergoing fracturing and cutting operations. As the object is fractured or cut open, the user can directly examine and intuitively understand the complex translucent interior, as well as edit material properties through painting on cross sections and recombining the broken pieces-all with immediate and realistic visual feedback. This new mode of interaction with translucent volumes is made possible with two technical contributions. The first is a novel solver for the diffusion equation (DE) over a tetrahedral mesh that produces high-quality results comparable to the state-of-art finite element method (FEM) of Arbree et al.  but at substantially higher speeds. This accuracy and efficiency is obtained by computing the discrete divergences of the diffusion equation and constructing the DE matrix using analytic formulas derived for linear finite elements. The second contribution is a multiresolution algorithm to significantly accelerate our DE solver while adapting to the frequent changes in topological structure of dynamic objects. The entire multiresolution DE solver is highly parallel and easily implemented on the GPU. We believe TransCut provides a novel visual effect for heterogeneous translucent objects undergoing fracturing and cutting operations.
Mathematical model, Equations, Rendering (computer graphics), Scattering, Materials, Approximation methods
Dongping Li et al., "TransCut: Interactive Rendering of Translucent Cutouts," in IEEE Transactions on Visualization & Computer Graphics, vol. 19, no. 3, pp. 484-494, 2013.