Extracting Pi from Image Data
Extracting Pi from Image Data
In 1881, Ernesto Cesàro [1] proved that the probability that two random integers are relatively prime is . In this Demonstration, the pairs of random integers are chosen from among the pixel values of selected images.
6/≈0.61
2
π
Using enough random pairs of pixel data from almost any sufficiently complex picture gives an approximation of with between 1 and 4 correct digits.
π