---
title: Briefing on Image Formation
categories: lecture
---
This briefing is designed for self-study, with a number of
videos or slide sets with audio.
# Lesson 0. Setting the scene
+ An image of the real world is projected on the Retina.
+ 3D is projected to 2D
+ Modern Cameras (more or less) replicate the Eye Model.
+ Fine-grained sensors perceive the rays of light
+ The **goal** today is to understand what we get when we
project from 3D to 2D
> Vision is the inverse problem of image formation
# Lesson 1. Image Representation
Lecture on Image Representation.
The **goal** in this video is to see how images are
represented on a computer and how we manipulate them in
python.
After the video, you should be aware of the following
concepts,
+ The image as an array of pixels.
+ The image as a function $I(x,y)$.
# Lesson 2. Lens Models
Lecture on Lensmodel. Open as
standalone document.
The **goal** in this talk is to model the projection
from 3D to 2D and be able to calculate the position of
points. Concepts to remember
+ Thin Lens Model
+ Pinhole (camera) model
+ The lens equation (ideal projection)
+ *Optional* The main talk gives the lens equation only in the
pinhole model. We can also derive
[The Lens Equation](http://www.hg.schaathun.net/talks/lensequation.html)
in the thin lens model.
# Lesson 3. Perspective and Vanishing points
Lecture on Perspective Imaging. Open as
standalone document.
The **goal** of the lesson is
1. to be able to use *drawings* and *algebra* to reason about
2D and 3D models.
2. understand perspective and why we get vanishing *points*.
Note particularly the point of using *drawings*. Most students and
academics only really start thinking when they have started drawing.
Only truly exceptional people are able to think about what to draw before
they start doing it. If in doubt, **draw it**.
For this reason I have not tried to polish an argument. I am trying to
show you how I may reason to develop a proof, and it is this search methodology that
I try to show you.
# Credits
[Introduction to Psychology](https://open.lib.umn.edu/intropsyc)
by University of Minnesota is licensed under a
[Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-nc-sa/4.0/), except where otherwise noted.