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Course

CS-457: Geometric computing

Summary

This course will cover mathematical concepts and efficient numerical methods for geometric computing. We will explore the beauty of geometry and develop algorithms to simulate and optimize 2D and 3D geometric models with an emphasis towards computational design for digital fabrication.

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/geometric-computing-CS-457

Moodle Page

http://go.epfl.ch/CS-457

About this result

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Summary

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/geometric-computing-CS-457

Moodle Page

http://go.epfl.ch/CS-457

About this result

Lectures in this course (22)

Differential Geometry: Parametric Curves & Surfaces Log in to Mediaspace to watch this video

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Minimal Surfaces and Discrete Differential Geometry Log in to Mediaspace to watch this video

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Geometric Computing Laboratory: Inverse Design Optimization Log in to Mediaspace to watch this video

Explores inverse design optimization in geometric computing, covering topics such as deployable structures, material-aware design, and programmed materials.

Elastic Deformation: Material Properties Log in to Mediaspace to watch this video

Explores material properties, stress, strain, and deformation gradient in elastic deformation.

Energy Equilibrium and Newton CG Method Log in to Mediaspace to watch this video

Covers continuum mechanics, linear elasticity, force balance, divergence, finite element discretization, energy minimization, and Newton's method.

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