Efficient Cones

This is a C++ implementation of the cone singularity construction in the following paper:

Efficient Cone Singularity Construction for Conformal Parameterizations. Mo Li, Qing Fang, Zheng Zhang, Ligang Liu, Xiao-Ming Fu. ACM Transactions on Graphics (SIGGRAPH Asia), 42(6), 2023.

The code is written by using Microsoft Visual Studio 2017.

Dependencies

• OpenMesh
• Eigen
• SuiteSparse

Usage

• A generated .exe file is included in x64/Release, and run with:

ConeGenes.exe [INPUT_OBJ] [OUTPUT_PATH] [INPUT_DISTORTION_BOUND]

Command arguments:

• [INPUT_OBJ]: a input mesh (.obj).
• [OUTPUT_PATH]: the output path.
• [INPUT_DISTORTION_BOUND]: the input area distortion bound (default: 0.2).

Output

• cones.txt: the first column records cones ids(index start from 1) and the second column records the non-zero Gaussian curvature.