Perspective Drawing and Projective Geometry
- Place an x on the vanishing point in the picture below
and draw a few of the lines converging at the vanishing point
that are parallel in the real world
represented by this picture.
- View the large drawing of the cube from the
optimal viewing place and distance (by following the directions).
Were you able to see the distortion disappear?
Given a point (x,y,z) of a real-life object with z > 0,
write out the mathematical formulas for the
perspective drawing coordinates
of x' and y'.
- Write out the corresponding Excel formulas for x' and y'.
- In your own words, explain how the method
that we used to determine the optimal viewing distance of the box
can be adapted to determine the optimal viewing distance of the
Use detailed descriptions that refer to
specific aspects of this painting and label the viewing distance:
- Extra Credit Due by Reading Day
Find a real-life painting that was completed in
one-point perspective and adapt the method to find the viewing distance
of this painting. Write up a report on how you did this, giving specific
details, and also on what you saw when you used the proper viewing
distance for your painting.