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kasal is a project designed for determining the symmetry axis orientation and the rotation center of rotationally symmetric objects.

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KASAL: Key-Axis-based Symmetry Axis Localization

KASAL is a project designed for determining the symmetry axis orientation and the rotation center of rotationally symmetric objects. When using KASAL, users need to specify one of the eight predefined rotational symmetry types. Based on the selected type, KASAL identifies all symmetry axes on the given object model. Upon completion of symmetry axis localization, KASAL automatically saves the rotational symmetry information in the BOP format. This structured symmetry information facilitates seamless integration with 6D pose estimation methods that support the BOP format. Moreover, the extracted symmetry data is beneficial for various applications, including 3D reconstruction, object recognition, and related computer vision tasks.

News!


  • Sep 2025: 🎉 KASAL now officially supports Windows and Ubuntu (Linux) platforms!
  • Mar 2025: 🤗 KASAL has been fully open-sourced on GitHub and PyPI.
  • Dec 2024: 📄 The paper "Key-Axis-based Localization of Symmetry Axes in 3D Objects Utilizing Geometry and Texture" is now available at DOI: 10.1109/TIP.2024.3515801.

Datasets


To identify which objects exhibit rotational symmetry, you can download the DSRSTO dataset provided with KASAL. Additionally, we have utilized KASAL to determine the symmetry axes of objects in the Google Scanned Objects (GSO) and ShapeNet datasets.

Below are the links to these three datasets:

Installation


  • Platform Support: KASAL now supports both Windows and Ubuntu (Linux) 🎉
Platform Tested Version
Windows Windows 10
Ubuntu 20.04+ (glibc ≥ 2.31)
  • Requirements: Anaconda 3, MeshLab
  • Install via PyPI

KASAL is now available on PyPI, you can install it directly using:

    pip install kasal-6d
  • Manual Installation

If you want to install KASAL manually, use the following commands:

    conda create -n kasal python=3.10
    conda activate kasal
    pip install -r requirements.txt # Only needed for manual installation

⚠️Note:
If you encounter compatibility issues with the default installation, you can install our recommended environment with:

    pip install kasal-6d[recommended]
    # or
    pip install -r requirements_recommended.txt 
  • Quick Start

After installation, you can quickly test KASAL by running the following demo scripts:

    python demo_texture_meshes.py  
    # or    
    python demo_shape_meshes.py

This will launch the KASAL application and process the example dataset.

Rotational Symmetry Types


KASAL supports a total of eight rotational symmetry types, which include three continuous rotational symmetries and five discrete rotational symmetries.

In KASAL, you can select any rotational symmetry type from the "Symmetry Type" dropdown menu and then click "Cal Current Obj" to localize the symmetry axes on the object.

Additionally, for The n-fold Prismatic Rotational Symmetry and The n-fold Pyramidal Rotational Symmetry, users must specify the order of rotational symmetry, denoted as n.

Symmetry Axis Localization Results


Given a regular dodecahedron and its specified rotational symmetry type, KASAL can accurately determine the orientations of all symmetry axes and the rotation center on the object model.

Furthermore, KASAL provides a visual representation of these symmetry axes, including their directions, orders, and the rotation center.

In the visualization of symmetry axis directions and the rotation center, KASAL places the arrow’s starting point at the rotation center and aligns its direction with the symmetry axis.

For the visualization of symmetry axis order, KASAL first generates a set of transformation matrices that satisfy the specified rotational symmetry. It then applies these matrices to recolor the object’s vertices accordingly.

Batch Processing


Given a directory path (e.g., mesh_path), KASAL will automatically load all 3D model files from the subfolders within this directory. You then need to manually specify each model's symmetry type, order (if applicable), and whether it exhibits texture rotational symmetry.

Once the rotational symmetry information for all objects has been determined, you can click "Cal All Objs" to perform batch symmetry axis localization for all models.

Additionally, KASAL automatically saves the specified rotational symmetry information when switching between objects. However, for the last object in the directory, please switch back to the previous object to ensure the data is saved.

If there is only one object in the directory, clicking "Cal Current Obj" or "Cal All Objs" will complete the symmetry axis localization and automatically save the specified symmetry information.

from kasal.app.polyscope_app import app

mesh_path = 'The directory of your 3D model dataset'

app(mesh_path)

Texture Rotational Symmetry


In real-world scenarios, most rotationally symmetric objects exhibit geometric rotational symmetry, while a smaller number of objects possess texture rotational symmetry.

By default, KASAL employs a geometry-based symmetry axis localization mode. If an object exhibits texture rotational symmetry, users need to manually enable the "ADI-C" option.

Assisted Localization


KASAL performs well for most objects, but it may encounter errors when handling imperfect or approximately rotationally symmetric objects.

If KASAL fails to correctly localize the symmetry axes, you can enable "show xyz" and manually select the x, y, or z axis that you believe is closest to the primary key axis.

The primary key axis refers to the symmetry axis with the highest order on the object.

Citation


If you find our work useful, please cite it as follows:

@ARTICLE{KASAL,
  author = {Wang, Yulin and Luo, Chen},
  title  = {Key-Axis-Based Localization of Symmetry Axes in 3D Objects Utilizing Geometry and Texture}, 
  journal= {IEEE Transactions on Image Processing}, 
  year   = {2024},
  volume = {33},
  pages  = {6720-6733},
  doi    = {10.1109/TIP.2024.3515801}
}

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