What is a B-spline volume and why does it matter for 3D face encoding? From control points to tensor products, with interactive demos.

Why the Laplacian? What does it mean to have eigenvectors of one? Building the intuition from scratch, with an interactive 3D mesh visualizer.

Instilling shape priors — how diffusion models extend from images to 3D, and what it takes to generate plausible geometry from noise.

Building intuition for the moving coordinate frame that follows a curve through space — and why it matters for robotics and motion planning.

A ground-up walkthrough of the probabilistic algorithm robots use to figure out where they are — no prior knowledge assumed.