Fractal Dimension: Understanding Complex Geometric Structures

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Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Procedural Modeling: Textures and Noise Functions

Explores procedural modeling of textures and noise functions in computer graphics.

Lighting: Surface Reflectance and Phong Model

Explores practical lighting aspects in computer graphics, covering surface reflectance, Phong model, multiple light sources, shadows, and reflections.

Bifurcation and fractals in complex dynamical systems

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Linear Algebra Fundamentals

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.

CloudCompare: Rotations and Functions

Introduces tools for manipulating and analyzing 3D point clouds using CloudCompare software.

Shape from Shading and Texture

Covers shape from shading, texture, reflectance maps, and specularities in computer vision.

Tangent Vectors and Bézier Curves

Explains tangent vectors of curves and the construction and applications of Bézier curves in computer graphics.

Procedural Modeling: Synthesizing Complex Functions

Explores Perlin noise for creating realistic procedural models and textures in computer graphics.

Nonlinear Dynamics: Chaos and Complex Systems

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.