Stereographic Projection: Sphere Parameterization

This lecture covers the concept of stereographic projection, focusing on the parameterization of the sphere. It explains how the sphere does not admit regular parameterization, unlike other shapes, and delves into the process of building a parametric function for each point on the sphere. The instructor demonstrates the intersection of lines passing through specific points on the sphere, highlighting the importance of checking the regularity of the parametric function. The lecture concludes with a detailed explanation of verifying line independence and the coordinates of points on the sphere.