Linear Pixel Shuuing for Image Processing, an Introduction

We investigate a method of ordering pixels (the elements of a rectangular matrix) based on an arithmetic progression with wrap-around (modular arithmetic). For appropriate choices of the progression's parameters based on a generalization of Fibonacci numbers and the golden mean, we nd equidis-tributed collections of pixels formed by subin-tervals of the pixel progression or \shuue." We illustrate this equidistributivity with a novel approach to progressive rendering of a synthetic image, and we suggest several opportunities for its application to other areas of image processing.