Nine-part practical course · Geometry to physical production

Geometry, AI & 3D Printing

Learn the complete chain: mesh structure, surface mathematics, printable solids, augmentation, tokenization, diffusion, current AI representations, texture preservation, and validated release.

A mesh progressing from vertices and triangles through watertight geometry and toolpaths to a physical 3D print
The course follows one central idea: every stage changes representation, and every representation has invariants worth protecting.
01

From Mesh to Manufactured Object

Representations, contracts, checkpoints, and the complete geometry-to-print pipeline.

12 min
02

Differential Operators and Surface Signals

Gradient, divergence, cotangent Laplacians, mass matrices, Poisson, and harmonic fields.

24 min
03

Print-Ready Meshes

Watertightness, manifoldness, wall thickness, overhangs, supports, scale, and 3MF.

15 min
04

What Frequencies Mean on a Mesh

Natural shape harmonics, filtering, compression, descriptors, and segmentation.

10 min
05

Mesh Augmentation with PyTorch3D

Safe transforms, surface sampling, noise, remeshing, labels, and reproducible batches.

16 min
06

Mesh Tokenization for Transformers

Quantization, face order, adjacency, MeshGPT, MeshAnything V2, and sequence budgets.

14 min
07

Diffusion on Meshes and DMTets

Why fixed topology helps, how deformable tetrahedra expose surfaces, and what diffusion learns.

13 min
08

Choosing AI 3D Models by Representation

TRELLIS.2, Hunyuan3D 2.1, mesh autoregression, and hybrid production routing.

14 min
09

Image to 3D to Paint to Retopology

Preserve UVs, material intent, correspondence, provenance, and visual identity.

11 min