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This lecture delves into Bezier curves, explaining the weighted sum of control points and Bernstein polynomials. It covers the de Casteljau Algorithm, properties of Bezier curves like affine combination and convex hull, and the derivative of Bezier curves. The lecture also explores spline curves, splines in Bezier form, and the derivative of Bernstein polynomials. It concludes with topics like end-points and end-tangents, piecewise Bezier curves, and C2 cubic splines.
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