ROTHSTEIN CODE TRANSFORMATIONS AS A DIGITAL OPTICAL SCALING METHOD

Abstract

The Rothstein code data transformation method is a largely forgotten and underutilized method originally theorized from optics and retinal recruitment. The code is a binary representation of the slope of a line or scaling factor and can transform data and images similar to matrix multiplications except with built-in interpolations.  The theoretical validation of the method presented in the original publications is complex. The purpose of this paper is to borrow from quantum theory and dual nature of light, particle and wave, to simplify the theoretical understanding.  With this understanding, the method becomes more intuitive in the example applications that follow. These application examples include digital resampling of data for signal processing applications, examples for matrix scaling such as for the management of discordant data sets, and for image processing.