Perspective & Projective Geometry
Math · Intermediate · Lesson 1 of 7

The Pinhole Picture

Size shrinks with distance

An interactive lesson with 7 steps, about 6 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • Perspective projection sends every point through a single centre onto a flat picture.
  • Apparent size h′=fh/dh' = fh/d: inversely proportional to distance.
  • Brunelleschi and Alberti worked out the rules in early 15th-century Florence.

Steps

  1. Rays through a point
  2. Lamp posts
  3. Frame the shot
  4. Photographing the Moon
  5. Image size
  6. Telephoto compression
  7. The dolly zoom