Research Blog

Visual explanations for geometry, motion, and learning.

Shape analysis, deformation modeling, and 3D generative methods, written with diagrams, equations, and implementation detail.

3 Research notes
3D Geometry-first topics
Code + Math Implementation-oriented explanations
Abstract applied geometry illustration with wireframes, contours, and point samples
shape correspondence deformation priors localized control 3D talking heads spectral geometry motion synthesis

Archive

Recent notes

A growing collection of essays around geometric learning, motion, and 3D representation.

Deformation Modeling Intermediate

Why localized control matters in learned deformation models

A practical note on why global latent variables are often too entangled for editable deformation modeling, and how localized control changes the user experience.

Feb 15, 2025 10 min read Learning-Based Geometry
deformation local control generative models 3d vision
Shape Correspondence Advanced

From Laplace-Beltrami to functional maps: an intuition-first view

A didactic introduction to functional maps, focused on why the formulation is compact, elegant, and still subtle in practice.

Feb 08, 2025 11 min read Geometry for Learning
functional maps spectral geometry laplace-beltrami correspondence
Shape Analysis Intermediate

Walking on shape spaces with interpolations

A guided tour of what it really means to interpolate between shapes, and why correspondence, representation, and regularization matter more than the blend itself.

Feb 01, 2025 9 min read Geometry for Learning
geometry interpolation correspondence deformation