topoGenesis

topoGenesis is an open-source python package providing topological data structures and functions for working with voxel data in Generative Systems and Sciences. The envisaged application areas are:

• generative design in architecture and built environment
• generative spatial simulations
• 3D image processing
• topological data analysis
• machine learning

Vision

topoGenesis aims to utilize the vast functionalities of fields (mathematical objects) in generative systems and sciences. Therefore it seeks to:

1. offer basic mathematical functionalities on field data models
2. offer functionalities of computational topology on top of the field structures
3. facilitate the conversion between mesh-based data models and field data models.
4. facilitate field simulations, whether governed by differential equations, spectral models or based on computational models (ABM)
5. construct a bridge between spatial data models and tensor data structures to facilitate the utilization of the latest artificial intelligence models

Structure

• Mesh to Field: Rasterization
  • Point Cloud Voxelation
  • Line Network Voxelation
  • Mesh Surface Voxelation
  • Signed Distance Field
• Field to Mesh: Isosurface
  • Boolean Marching Cubes
  • Marching Cubes
  • Surface Nets
• Local Computation
  • Stencil / Kernels
    • von Neumann neighbourhood
    • Moore neighbourhood
    • Cube neighbourhood
    • Custom neighbourhoods
  • Universal Functions & Mathematical Operators (Numerical)
• Field Simulations (Vectorized)
  • Dynamic Systems (based on Differential Equations)
  • Agent-Based Modeling
  • Cellular Automata

Installation

for installation check this tutorial

Genesis Lab: Laboratory of Generative Systems and Sciences

This project is currently being developed by Shervin Azadi and Pirouz Nourian at Genesis Lab

Check out our latest publication on Voxel Graph Operators: Pirouz Nourian, Shervin Azadi, Voxel graph operators: Topological voxelization, graph generation, and derivation of discrete differential operators from voxel complexes, Advances in Engineering Software, Volume 196, 2024, 103722, ISSN 0965-9978, https://doi.org/10.1016/j.advengsoft.2024.103722