Fractals Everywhere!
Math 382

Fall 2014 - Humke's Version

The Basics

First Homework Assignment!! Due: Thursday, September 4

Suppose you are given two black and white (no grey either, just B and W) 8x8 photos. Each contains a picture of an object (the black) on a white background. I would like you to devise a scheme which gives a numerical value to how "close" these pictures are to each other as pictures. So if the pictures are taken of the exact same object (say our book at a distance of 3 feet) from the exact same perspective, the distance should be 0. If, however, a red ant crawls on the book between shots, then the distance should be close to zero, but not 0 since the second picture has the ant and is not identical to the ant less first picture.

If the book is moved back 10 feet and a third picture is snapped, then the distance between it and the other two should be rather large compared to the distance between the first two picts.

Please work with partners if you are able and come with a page to hand in on Thursday (should be LaTeXed).