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Data transformation methods based on Rothstein binary scaling codes.

Rothstein’s code is a binary representation of the slope of a line developed in the 1970’s and used for transformation of images. With a theoretical basis in optics, the method may be the more faithful data manipulation method.








Faithful Optical Digital Transformations

Deformations

Deform your data and images based on variable codes along an axis.

 

Particle Theory of Light

Theoretical proof is based on the dual nature of light: particle and wave.

Ray diagram for the 2/3 shrink to a real image from a converging lens with Rothstein mapping of all potential photon positions
Ray diagram for the 2/3 shrink to a real image from a converging lens with Rothstein mapping of all potential photon positions

 

Data Sampling

Resample data to arbitrary length

Resampling using Rothstein Code
Resampling using Rothstein Code

 

Matrix Processing for Discordant Data

Manage discordant matrix sizes for matrix operations

Matrix resizing using Rothstein Code

 

Image stretch by 3/2 in x (middle) and 2/3 in y (right) directions.

Image Scaling

With the binary code for 3/2 – 0 1 1 – an image can be stretched by 3/2 or shrunk by 2/3.


Faithful image and data transformations and deformations based on quantum optical theory.