Fourier analysis says that complex patterns can be created by adding up a large number of patterns as simple as sinusoidal waves. To make the idea more concrete, I like to use the following analogy in teaching: Imagine that you lived in the early 19th century. If you wanted to listen to a symphony, the only way to make it happen was to hire a few dozen highly-trained musicians to perform it for you.Read more
Demonstrations: The reconstruction of Mona Lisa video. A blog post I wrote about the Fourier transform trick. Youtube video: Nobel laureates David Hubel and Torsten Wiesel recording neurons in cat’s V1. Suggested readings: Fourier transform An introduction to two-dimensional fast Fourier transforms and their applications by Rzeszotarski et al. (1983). Fourier transforms and frequency-domain processing (Chapter 5 of Fundamentals of Digital Image Processing: A Practical Approach with Examples in Matlab by Solomon & Breckon, 2011) Suggested readings: programming See this web page from UCSB.Read more
Central disorders of vision in humans by Girkin & Miller (2001): a review of what happens if different parts of the visual cortex are damaged. “Superimposed hemifields in primary visual cortex of achiasmic individuals” by Sinha & Meng (2012, Neuron 75): Newton vs. Descartes on the organization of the optic chiasm. Youtube video demonstrating how Hubel & Wiesel mapped V1 receptive fields.
Animal Eyes by Land & Nilsson is a very nice little book about the fascinating variety of eye structures found in nature. Youtube video about the “connectome” of the retina