Algorithms
Computational geometry algorithms combine geometric primitives, partition 3D space for logarithmic queries, and simulate physical form-finding and fabrication constraints.
The topics in this chapter form the backbone of modern CAD software, physics engines, and generative design tools.
- Spatial Trees
- Booleans & CSG
- Signed Distance Fields
- Robotics Kinematics
- Advanced Surfacing
- Topology & Repair
- Computational Metrics
- Convex Geometry
- Differential Geometry
- Voxelization
- Subdivision & Relaxation
- Generative Algorithms
- Animation Principles
- Additive Manufacturing
- Subtractive CAM & Nesting
- Fabrication & Panelization
- Form-Finding & Statics
- Environmental Geometry
- Curve Engineering
- Collision & Contact Physics
- Parameterization & UV
- GPU & Neural Representations