figures

Replicate results

To replicate some of the results presented in the article Stable and efficient differential estimators on oriented point clouds (PDF), please follow these 3 steps.

1. Set-up

This project requires CMake, a C++ compiler, and Python (with matplotlib).

The only other required dependency is CGAL.
On Linux (Ubuntu or Debian), run this command to install it on the system

sudo apt-get install libcgal-dev

On macOS:

brew install cgal

Other dependencies like Eigen, DGtal, Ponca and CLI11 are directly included as git submodules.

Clone this project, download submodules, and go to the figures directory

git clone --recurse-submodules https://github.com/STORM-IRIT/algebraic-shape-operator.git
cd algebraic-shape-operator/figures

If you have already cloned the main project, git submodule update --init --recursive will set the submodules properly.

Note that OpenMP is optional but highly adviced for better performances.

2. Build the project

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

⚠️ make sure to call the build directory 'build', which is required for the next step.

3. Generate results

The following scripts are provided to generate data used in several figures:

Fig	Script
2	scripts/fig2_geometric-features/generate.sh
3	scripts/fig3_geometric-flows/generate.sh
4	scripts/fig4_asymptotic-analysis/generate.sh
5	scripts/fig5_stability-noise-position/generate.sh
6	scripts/fig6_stability-noise-normal/generate.sh

Results are generated as colored PLY files in a subfolder called results.

Example:

cd scripts/fig2_geometric-features
./generate.sh
ls results/

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Tested with

• Fedora 31
  • cmake 3.17.4
  • g++ 9.3.1
• Ubuntu 20.04
  • cmake 3.16.3
  • g++ 9.3.0
• macOS
  • clang / Monterey
  • clang / Big Sur