topoGenesis

topoGenesis is an open-source python package that provides topological structures and functions for Generative Systems and Sciences for various application areas such as:

• 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 Regularization
• 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

Genesis Lab

This project is currently being developed by Shervin Azadi and Pirouz Nourian at Genesis Lab: Laboratory of Generative Systems and Sciences, Department of Architectural Engineering and Technology, at TU Delft.