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This lecture covers the principles of geometric modeling, focusing on splines and freeform deformation. The instructor explains the use of Bezier curves and B-spline surfaces to create smooth and continuous shapes. The concept of freeform deformation is introduced, showcasing how control points can be manipulated to deform objects in a 3D space. The lecture also delves into the application of these techniques in computer graphics, animation, and surface modeling, emphasizing the importance of continuity and control in creating high-quality surfaces. Various examples and demonstrations illustrate the practical implementation of these concepts in modeling tools and the automotive industry.