Transcript Perspective Viewing and Drawing Make Good Math Problems

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
PERSPECTIVE GEOMETRY
DUE-1140113 (SU)
DUE-1140135 (F&M)
THE VIEWPOINTS PROJECT
2000–2008
NSF-DUE-9555408 (IU)
NSF-DUE-0439891 (IU)
NSF-DUE-0439713 (F&M)
THE VIEWPOINT IS
ALL-IMPORTANT…
1. 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.
2. 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.
3. A single line in the real world not parallel to the
window has a vanishing point.