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Minicourse #14 Visualizing Projective Geometry Through Photographs and Perspective Drawings Fumiko Futamura, Annalisa Crannell, and Marc Frantz Part A,

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Presentation on theme: "Minicourse #14 Visualizing Projective Geometry Through Photographs and Perspective Drawings Fumiko Futamura, Annalisa Crannell, and Marc Frantz Part A,"— Presentation transcript:

1 Minicourse #14 Visualizing Projective Geometry Through Photographs and Perspective Drawings Fumiko Futamura, Annalisa Crannell, and Marc Frantz Part A, Wednesday, 2:15 pm–4:15 pm Part B, Thursday, 1:00 pm–3:00 pm

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3 PERSPECTIVE GEOMETRY DUE-1140113 (SU) DUE-1140135 (F&M)

4 THE VIEWPOINTS PROJECT 2000–2008 NSF-DUE-9555408 (IU) NSF-DUE-0439891 (IU) NSF-DUE-0439713 (F&M)

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6 THE VIEWPOINT IS ALL-IMPORTANT…

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15 If a collection of parallel lines in the real world is parallel to the window (picture plane), then their images on the window are parallel. If a collection of parallel lines in the real world is NOT parallel to the window, then their images on the window meet at a common point, which we call the vanishing point. A single line in the real world not parallel to the window has a vanishing point. 1. 2. 3.

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