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 pmPart B, Thursday, 1:00 pm–3:00 pm

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 pmPart B, Thursday, 1:00 pm–3:00 pm

PERSPECTIVE GEOMETRY

DUE-1140113 (SU)DUE-1140135 (F&M)

THE VIEWPOINTS PROJECT2000–2008

NSF-DUE-9555408 (IU)NSF-DUE-0439891 (IU)NSF-DUE-0439713 (F&M)

THE VIEWPOINT ISALL-IMPORTANT…

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.

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