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 however we can borrow from quantum theory of the dual nature of light, particle and wave, to simplify the understanding. This approach is presented along with the demonstration of the method for digital resampling of data for signal processing applications, for matrix scaling such as for the management of discordant data sets, and for image processing.