QuadriFlow: A Scalable and Robust Method for Quadrangulation

Source code for the paper:

Jingwei Huang, Yichao Zhou, Matthias Niessner, Jonathan Shewchuk and Leonidas Guibas. QuadriFlow: A Scalable and Robust Method for Quadrangulation, The Eurographics Symposium on Geometry Processing (SGP) 2018.

Processing Result

Demo

The software supports cmake build for Linux/Mac/Windows systems. For linux and mac users, run sh demo.sh to build and try the QuadriFlow example, which converts examples/Gargoyle_input.obj to examples/Gargoyle_quadriflow.obj.

Install

git clone --recursive -j8 git://github.com/hjwdzh/quadriflow
mkdir build
cd build
cmake .. -DCMAKE_BUILD_TYPE=release
make -j

QuadriFlow Software

We take a manifold triangle mesh input.obj and generate a manifold quad mesh output.obj. The face number increases linearly with the resolution controled by the user.

./quadriflow -i input.obj -o output.obj -f [resolution]

Here, the resolution is the desired number of faces in the quad mesh.

Advanced Functions

Min-cost Flow

By default, quadriflow uses the Boykov maximum flow solver from boost becuase it is faster. To enable the adaptive network simplex minimum-cost flow solver, you can enable the -mcf option:

./quadriflow -mcf -i input.obj -o output.obj -f [resolution]

Sharp Preserving

By default, quadriflow does not explicitly detect and perserve the sharp edges in the model. To enable this feature, uses

./quadriflow -sharp -i input.obj -o output.obj -f [resolution]

SAT Flip Removal (Unix Only)

By default, quadriflow does not use the SAT solver to remove the flips in the interger offsets map. To remove the flips and guarantee a watertight result mesh, you can enable the SAT solver. First, make sure that minisat and timeout is properly installed under your ${PATH}. The former can be done by building 3rd/MapleCOMSPS_LRB/CMakeLists.txt and copying minisat to /usr/bin. In addition, timeout is included in coreutils. If you are using Mac, you can install it using homebrew:

brew install coreutils
export PATH="/usr/local/opt/coreutils/libexec/gnubin:$PATH"

You can verify if those binaries are properly installed by executing

which minisat
which timeout

After that, you can enable SAT flip removal procedure by executing

./quadriflow -sat -i input.obj -o output.obj -f [resolution]

When using the SAT flip removal, we also suggest you enabling the verbose logging to understand what is going on. You can build quadriflow with the following options:

cmake .. -DCMAKE_BUILD_TYPE=release -DBUILD_LOG=ON

GUROBI Support (For Benchmark Purpose)

To use the Gurobi integer programming to solve the integer offset problem, you can build QuadriFlow with

cmake .. -DCMAKE_BUILD_TYPE=release -DBUILD_GUROBI=ON -DBUILD_LOG=ON

This override other solvers and should only be used for benchmark purpose.

Dependencies

Require: Boost, GLM, Eigen Optional: TBB, OpenMP

Authors

IMPORTANT: If you use this software please cite the following in any resulting publication:

@article {10.1111:cgf.13498,
    journal = {Computer Graphics Forum},
    title = {{QuadriFlow: A Scalable and Robust Method for Quadrangulation}},
    author = {Huang, Jingwei and Zhou, Yichao and Niessner, Matthias and Shewchuk, Jonathan Richard and Guibas, Leonidas J.},
    year = {2018},
    publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/cgf.13498}
}

Triangle Manifold

In case you are dealing with a triangle mesh that is not a manifold, we implemented the software that converts any triangle mesh to watertight manifold. Please visit https://github.com/hjwdzh/Manifold for details.

pablocouto / QuadriFlow