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Part IA Michaelmas Term

Pinhole Camera Model

The Pinhole Camera

Ray tracing is based on the pinhole camera model, where:

  • Light passes through a single point (the pinhole/aperture)
  • An image is formed on the image plane behind the pinhole
  • Each point on the image corresponds to a unique ray from the scene

Pinhole camera model showing eye point, screen plane, and rays through pixels

In Ray Tracing

In the computational model:

  • The camera origin (eye point) corresponds to the pinhole aperture
  • The screen plane (image plane) is where the image is formed
  • Rays are traced from the eye through each pixel into the scene

Pinhole Camera Properties

  • No depth of field: All distances are equally sharp (infinite depth of field)
  • Perfect focus: No lens effects
  • Point aperture: All rays diverge from a single point

Finite Aperture Camera

A real camera with a finite aperture (lens):

  • Distributes rays over a lens disc
  • Produces blur for out-of-focus objects (depth of field)
  • Objects at the focus distance appear sharp

Summary

  • The pinhole camera is the fundamental model for ray tracing
  • The camera origin corresponds to the pinhole aperture
  • All rays originate from a single point through the image plane
  • Finite aperture cameras model depth of field effects

Past Paper Questions

2025 Paper 3 Question 3(a): Explain what a pinhole camera model is and what the camera origin in ray tracing corresponds to in the pinhole model. [2 marks]