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Fast Quasi-Harmonic Weights for Geometric Data Interpolation.

This repo is a c++ implementation of the paper

rep

To clone the repo, run

git clone --recurse-submodules https://github.com/wangyu9/qhw-code.git

Installation

To ease the installation of the dependencies, we provide a docker container. To build the docker container, run

sudo docker build -t qhw .

To start the docker container:

docker run -it qhw

optionally, you can use docker run -v HOST-MACHINE-FOLDER:CONTAINER-MACHINE-FOLDER -it qhw to mount a volume to the docker container.

Alternatively, you are welcome to install all the dependencies manually by following the Dockerfile. It will lead to better performance since the code always runs slower in the dokcer container (which can be thought of as a light-weight virtual machine).

Code Compilation

(You can skip this step if using our docker container.)

To build the c++ project, either within the container or on your own linux machine:

cd qhw-code

mkdir build; cd build;

cmake ..; make;

If using our docker container, the compiled executable is located at /qhw/qhw-code/build/qhw

Usage

To compute the weights for the examples that we provided in ./data, run the following command

./qhw -e /qhw/qhw-code/data/beast-H --step_size 0.1 -n 4 --solver adamd --project --verbose 0

The data file folder can be beast-H, bunny-H, raptor-H, elephant-H, dragon-H, tibiman-H. The files specify the shape (already meshed with handles) as well as the boundary conditions for the corresponding bone weight problem.

The resulting weights are stored in the file "W.mtx", i.e. in the Matrix Market format (.mtx).

If the code runs correctly, expect to see the following smoothness energy for the provided examples:

Example Energy
beast-H 111.5
bunny-H 10509.6
raptor-H 34585.9
elephant-H 644.5
dragon-H 134.5
tibiman-H 36136.4

Contact

Email wangyu9@mit.edu for any question and comment.

BibTex

@article{wang2021fast,
  title={Fast quasi-harmonic weights for geometric data interpolation},
  author={Wang, Yu and Solomon, Justin},
  journal={ACM Transactions on Graphics (TOG)},
  volume={40},
  number={4},
  pages={1--15},
  year={2021},
  publisher={ACM New York, NY, USA}
}

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