Lectures related to Plücker coordinates

Stereographic Projection: Sphere Parameterization

Explores stereographic projection and sphere parameterization, emphasizing regularity and line independence.

General Conics and Homogeneous Coordinates

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Geometric Example: Regular Hexagon and Complex Numbers

Explores the geometric properties of a regular hexagon using complex numbers.

Translations and Homotheties

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

3D Transformations: Basics and Euler Angles

Covers 3D transformations, Euler angles, and rotation in computer graphics.

Barycenters: Examples

Covers examples of barycenters and expressing points as barycenters of given points.

Projective Space and Algebraic Sets

Introduces projective space and algebraic sets, discussing homogeneous coordinates, ideals, and generators.