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Raytracing Intersection Triangle
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Lighting Phong: Basics and Models
Introduces the basics of lighting in computer graphics, including surface reflectance, ray tracing, and the Phong lighting model.
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Introduces convex functions, covering affine, convex, and conic hulls, transformations, inequalities, and conditions for convexity.
Physically-Based Rendering: Light Paths Quest
Explores physically-based rendering, focusing on light transport simulations and material appearance models, discussing challenges and advanced algorithms for realistic computer-generated images.
Optimal Transport: Gradient Flows in Rd
Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.
Density Matrix: Recap and Bloch 'Ball'
Covers the concept of density matrix and its properties, focusing on statistical mixtures and measurements.
3D Surface Representations: Signed Distance Fields
Explores 3D surface representations using Signed Distance Fields and their applications in various fields.
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Covers the basics of Bezier curves and introduces Bernstein polynomials.
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Convex Sets: Mathematical Optimization
Introduces convex optimization, covering convex sets, solution concepts, and efficient numerical methods in mathematical optimization.