Image Formation
Thin Lens and Pin Hole Models
NTNU, Noregs Teknisk-Naturvitskaplege Universitet
August 2023
Vision
Eye Model from Introduction to Psychology by University of Minnesota
The Lens
Burning Glass from *College Physics* by OpenStax College
Thin Lens Model
Taxonomy of the Lens
Lens focuses more light on the sensor
The aperture
Points in Focus
Out of Focus
Pinhole aperture
The pinhole model
Focal Length
Lens Equation
$$\frac{X}{Z}=\frac{x}{f}$$
$(X,Y,Z) \mapsto (x,y) = \bigg(-f\frac{X}{Z},-f\frac{Y}{Z}\bigg)$
Frontal Pinhole Model
$(X,Y,Z) \mapsto (x,y) = \bigg(f\frac{X}{Z},f\frac{Y}{Z}\bigg)$
Take away
- The lens focuses light in a poing
- The pinhole model is the simplest possible camera model
- Frontal pinhole model avoids the change of sign
- $(X,Y,Z) \mapsto (x,y) = \bigg(f\frac{X}{Z},f\frac{Y}{Z}\bigg)$