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+# 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**](http://stanford.edu/~jingweih/papers/quadriflow/quadriflow.pdf), The Eurographics Symposium on Geometry Processing (SGP) 2018.
+
+<!-- ## Processing Result -->
+![QuadriFlow Results](https://github.com/hjwdzh/quadriflow/raw/master/img/result.jpg)
+
+## WebGL Application
+Our 3D WebGL Apps for QuadriFlow are online! Without any installation, you are able to
+* [**Compare**](https://yichaozhou.com/publication/1805quadriflow/#demo) QuadriFlow with previous methods;
+* [**Quadrangulate**](https://yichaozhou.com/publication/1805quadriflow/#tool) your own meshes and
+ download the result!
+
+## Desktop Software
+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 git://github.com/hjwdzh/quadriflow
+cd 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 integer 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.
+
+## External Dependencies
+* Boost
+* Eigen
+* OpenMP (optional in CMake)
+* TBB (optional in CMake)
+* GUROBI (for benchmark purpose only)
+
+## Licenses
+
+QuadriFlow is released under [MIT License](LICENSE.txt).
+For 3rd dependencies,
+* Boost and Lemon are released under [Boost Software License](https://lemon.cs.elte.hu/trac/lemon/wiki/License)
+* Most part of Eigen is released under [MPL2](https://www.mozilla.org/en-US/MPL/2.0/FAQ/)
+ * Sparse Cholesky Decomposition algorithms are released under LGPL
+ * To replace it using Sparse LU decomposition with a more permissive MPL2 license (a little slower), enable `BUILD_FREE_LICENSE` in CMake (e.g., `-DBUILD_FREE_LICENSE=ON`).
+* `pcg32.h` is released under the Apache License, Version 2.0
+* `parallel_stable_sort.h` is released under the MIT License
+
+## Authors
+- [Jingwei Huang](mailto:jingweih@stanford.edu)
+- [Yichao Zhou](mailto:zyc@berkeley.edu)
+
+&copy; 2018 Jingwei Huang and Yichao Zhou All Rights Reserved
+
+**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.