3 credits
Fall 2026 Lecture Upper Division
The geometric modeling course will first introduce computational and mathematical concepts needed for 3D shapes, such as points, vectors, linear combinations, metrics, continuity, differentiability, and transformations. Then, it will describe mathematical descriptions of shapes and their implementations, starting from curves to free-form and subdivision surfaces, meshes and their simplifications, volumetric structures such as meshes, and constructive solid geometry. It will also provide knowledge of the fundamentals of procedural modeling (fractals, L-systems, terrain, and vegetation modeling). This course will also discuss modern AI-oriented methods for 3D shape generation.
Learning Outcomes1Learn foundations of geometric modeling including geometry and topology.
2Learn basic geometric objects, their representations, and operations including line, plane, and volume.
3Learn algorithms and Data Structures for Geometric Modeling.
4Learn curves including derivative, curvature, osculating circle, and continuity.
5Learn surfaces including differential properties and special surfaces.
6Learn volumes including space enumeration and constructive solid geometry.
7Learn advanced shape representations including meshes.
8Learn procedural models including fractals, chaos, and noise.
9Learn AI-based generative models.
Prerequisites
Restrictions
made by Purdue students.