Computational Geometry Courses and Certifications

Fields Institute

Computational Commutative Algebra and Computational Algebraic Geometry - Lecture 2

Delve into advanced computational methods in commutative algebra and algebraic geometry with Professor Stillman, exploring theoretical foundations and practical applications.

• YouTube
• 2 hours 52 minutes
• Self-Paced
• Free Video

Second Level Algorithms

Delve into advanced algorithm topics including amortized analysis, network flow, computational geometry, NP-completeness, and randomized algorithms, building on foundational knowledge to tackle complex computational problems.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

Structure in Motion - Geometric Insights in Protein Folding, Robot Kinematics, and Auxetic Materials

Explore geometric insights on protein folding, robot kinematics, and auxetic materials. Discover analogies and structural characteristics in this presentation by mathematics and computer science professors Borcea and Streinu.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Sebastian Lague

Optimizing a Ray Tracer by Building a Bounding Volume Hierarchy (BVH)

Optimize ray tracing performance by building a Bounding Volume Hierarchy (BVH). Learn techniques like GPU-friendly data structures, iterative traversal, and surface area heuristics to render complex scenes efficiently.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Grasshopper Tutorials

Grasshopper Tutorials for Beginners

Master Grasshopper's interface, Voronoi patterns, attractor points, animations, and data management through beginner-friendly tutorials and essential tips.

• YouTube
• 2 hours 1 minute
• Self-Paced
• Free Video

Reducible

How Computers Draw Weird Shapes - Marching Squares Algorithm

Explore the fascinating world of computer graphics, focusing on the Marching Squares algorithm for rendering complex shapes like metaballs. Learn about implicit functions, optimization techniques, and 3D extensions.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Mathemaniac

How Physics Solves Plateau's Problem - Applications in Math and 3D Graphics

Explore how physics and mean curvature flow solve Plateau's problem, with applications in mathematics, soap films, and 3D graphics. Discover connections between minimal surfaces and active research areas.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Dr Trefor Bazett

Math News: The Triangle-to-Square Problem Has Been Solved!

Discover the fascinating solution to the century-old Triangle-to-Square problem, now proven optimal with a 4-piece hinged dissection, marking a significant breakthrough in mathematical puzzle history.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Fundamental Algorithms - Design and Analysis

This course provides an introduction to mathematical modeling of computational problems. It covers the common algorithms, algorithmic paradigms, and data structures used to solve these problems.

• YouTube
• 10 hours
• Self-Paced
• Free Video

The Geometry of the Cosmic Web and Primordial Information Flow

Explores networks with Voronoi-based geometries, including cosmic web and spiderwebs. Discusses primordial information flow in cosmic web formation and its implications for structure determinism at different scales.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Wolfram

Exploring Wolfram Language 13.3 - New Features and Enhancements

Explore new features in Wolfram Language 13.3, including LLM integration, enhanced computational geometry, AR/VR publishing, generative AI for images, and improved parallel computation and external library access.

• YouTube
• 2 hours 56 minutes
• Self-Paced
• Free Video

Freya Holmér

Coding Bevels and Shape Optimization for Half-Edge 3D Modeling App

Dive into advanced 3D modeling techniques by coding bevels and optimizing shapes in Half-Edge, exploring mesh manipulation and geometric algorithms for interactive 3D applications.

• YouTube
• 5 hours 53 minutes
• Self-Paced
• Free Video

Freya Holmér

Coding Bevels for Half-Edge 3D Modeling App

Master advanced bevel implementation techniques for 3D modeling applications using half-edge data structures in this comprehensive programming session.

• YouTube
• 4 hours 21 minutes
• Self-Paced
• Free Video

Insights into Mathematics

The Midpoint Hierarchy and Dynamics on a de Casteljau Bezier Polygon - Algebraic Calculus and dCB Curves 10

Explores midpoint hierarchy and particle dynamics on de Casteljau Bezier curves, focusing on t=1/2 value and quartic curves. Introduces discrete motion concepts like velocity and acceleration for control points.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Insights into Mathematics

De Casteljau's Algorithm and Splitting de Casteljau-Bézier Curves - Algebraic Calculus 2

Explore de Casteljau's algorithm for computing and splitting polynomially parametrized curves, with practical applications and theoretical insights using GeoGebra visualizations.

• YouTube
• 28 minutes
• Self-Paced
• Free Video