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Explore the intricacies of reconstructing three-dimensional shapes from apparent contours in this comprehensive lecture on Computer Vision. Delve into the challenges of interpreting graphs with cusps and transversal crossings on projection planes. Examine related topological problems and the potential applications of the Appcontour program. Follow along as the speaker covers key concepts including introduction, motivation, examples, labeling, stabilities, and theorems. Investigate the completion problem, emerging arcs, and visible contours, concluding with a detailed proof. Gain valuable insights into this fundamental aspect of Computer Vision and its practical implications.