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Polatory is a fast and memory-efficient framework for RBF (radial basis function) interpolation, developed by GSI Co., Ltd.

NOTE: This is a pre-release version. APIs subject to change without notice.

Features | License | Building | Contribution | Module Index | Acknowledgements

• Fast spline surface reconstruction from 2.5D/3D point cloud
• Fast interpolation of 1D/2D/3D scattered data (kriging prediction)
• Meshing isosurfaces
• Supports large number (millions) of input points
• Supports inequality constraints
• List of available RBFs

Polatory runs on x86-64 processors and continuously tested on the following platforms.

Polatory can perform kriging prediction via RBF interpolation (dual kriging). Although different terminologies are used, both methods produce the same results. Here is the correspondence between them:

A limited number of covariance functions are supported. See the list of available RBFs for details.

Polatory is available under two different licenses:

• GNU General Public License, version 3
• Commercial license (please contact at mizuno(at)gsinet.co.jp)

1. Install build tools

   sudo apt install build-essential cmake curl git ninja-build unzip

   If you use Clang, libomp-dev is required.

   sudo apt install clang libomp-dev

2. Download and install Intel(R) MKL.

   See https://software.intel.com/articles/installing-intel-free-libs-and-python-apt-repo for details.

   wget https://apt.repos.intel.com/intel-gpg-keys/GPG-PUB-KEY-INTEL-SW-PRODUCTS-2019.PUB -O - | sudo apt-key add -
   sudo sh -c 'echo deb https://apt.repos.intel.com/mkl all main > /etc/apt/sources.list.d/intel-mkl.list'
   sudo apt update
   sudo apt install intel-mkl-64bit-2019.5-075

3. Clone Polatory

   git clone --recursive https://github.com/polatory/polatory.git
   cd polatory

   To update an existing repository:

   git submodule sync
   git submodule update --init --recursive

4. Build polatory

   ./run init-vcpkg
   ./run cmake
   ./run build

1. Install Visual Studio Community 2019

   https://www.visualstudio.com/

   Under the Workloads tab, select the following item.

   • Desktop development with C++

   Under the Individual components tab, select the following item.

   • Code tools > Git for Windows

2. Download and install Intel(R) MKL

3. Clone Polatory

   git clone --recursive https://github.com/polatory/polatory.git
   cd polatory

   To update an existing repository:

   git submodule sync
   git submodule update --init --recursive

4. Build polatory

   .\run init-vcpkg
   .\run cmake
   .\run build

We welcome your contributions! You can contribute to this project in several ways:

You can just click the ★Star button to show your interest.

Feel free to file an issue, if you have any questions, feature requests, or if you have found any unexpected results (please include a minimal reproducible example).

You can fork the source tree and make some improvements to it. Then feel free to create a PR. When sending a PR for the first time, please review and sign the Individual Contributor License Agreement.

Polatory is built upon the following libraries. Each library may have other dependencies.

Abseil

Apache License 2.0

Boost

Boost Software License 1.0

Ceres Solver

BSD 3-Clause License

double-conversion

BSD 3-Clause License

Eigen

Mozilla Public License 2.0

FLANN

BSD 2-Clause License

Google Test

BSD 3-Clause License

gsl-lite

MIT License

Intel(R) MKL

Intel Simplified Software License

ScalFMM

CeCILL-C License 1.0