Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional

Source code of the paper: "Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional", Colin Weill–Duflos, David Coeurjolly, Fernando de Goes and Jacques-Olivier Lachaud, Computer Aided Geometric Design (proc. GMP 2023), 2023.

Authors of the code:

• Colin Weill-Duflos
• Jacques-Olivier Lachaud
• David Coeurjolly

Building

Once cloned, fetch the dependencies (geometry-central, libigl, polyscope and DGtal) using git submodules:

git submodule update --init --recursive

or directly,

git clone --recursive https://github.com/Lieunoir/UV-AT.git

Then, on unbutu/macos:

mkdir build
cd build
cmake .. -DCMAKE_BUILD_TYPE=Release
make -j 8

Usage

To run : ./build/bin/at-uv -i bunnyhead.obj

You can use the button Compute initial AT-UV to compute the initial parameterization and cut and then run the method once. It results with a uv mapping and its corresponding v. It then enables cutting buttons.

Cut is used to compute the cuts from v.

When a cut is done, we can either use Refine AT-UV to run the method again from the result and obtain a new compute uv and v, or Finalize AT-UV to get a final result (force v at 1).

Compute whole is a shortcut for initialization, running our method once, cutting and finalizing.

The option --withoutGUI can also be used to run the method in headless mode, and put the results in an output directory. Use ./batch.sh ./path/to/obj/folder can be used to run the method over all the obj files contained in a mesh. ./generate_tex.sh can then be used to generate a tex file containing the results.