Computer Vision Foundations · free preview

The Pinhole Dilemma and the Lens

The sharpness-versus-brightness tradeoff of a bare hole, refraction through Snell's law, and what a lens has to accomplish to escape the tradeoff.

1. A hole cannot be both sharp and bright

A hole cannot be both sharp and bright

2. Bending light with Snell's law

Bending light with Snell's law

3. What a lens must do

What a lens must do

4. The plan for this module

The plan for this module

5. Why a wider hole blurs

A pinhole camera is rebuilt with the hole widened to four times its original diameter. The image becomes brighter but blurrier. What is the geometric reason for the blur?

6. Snell's law at a small angle

A ray in air meets a flat glass surface with refractive index n=1.5n = 1.5 at an angle of 66 degrees from the normal. Using the small-angle form θ1=nθ2\theta_1 = n \theta_2, what angle does the ray make inside the glass?

7. The angle inside the glass

A ray travels in air and meets a glass surface with index n=1.5n = 1.5 at 33 degrees from the normal. Using the small-angle form θ1=nθ2\theta_1 = n\theta_2, compute the angle inside the glass in degrees and write the number.

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