Convergent Authalic Energy Minimization for Disk Area-Preserving Parameterizations


Shu-Yung Liu · Mei-Heng Yueh


     

Executables

[Windows Installer] [MATLAB P-Code]

The input triangular mesh $(F,V)$ is supposed to be simply connected with a single boundary, stored in a MATLAB mat file, where $$ F = \begin{bmatrix} i_1 & j_1 & k_1 \\ \vdots & \vdots & \vdots\\ i_m & j_m & k_m \end{bmatrix}\in\mathbb{N}^{m\times 3} ~\text{ and }~ V = \begin{bmatrix} v_1^1 & v_1^2 & v_1^3 \\ \vdots & \vdots & \vdots\\ v_n^1 & v_n^2 & v_n^3 \end{bmatrix} \in\mathbb{R}^{n\times 3}. $$