Visualizing (Number Theoretic) Functions with Portraits

Year: 2020 Authors: Donald Spector

Core claim

Applying functions to image pixels and comparing the transformed images across gray levels can reveal monotonicity, fluctuation, and growth behavior of number theoretic functions.

Topics

image transformation, number theoretic functions, visual pattern recognition, pixel-by-pixel analysis

Domains

number theory, arithmetic functions, analytic number theory, digital imaging, visualization, photographic portraits, halftoning

Methods

pixel-wise function mapping, grayscale binning, rescaling normalization, visual comparison across N_H

Media

grayscale photographs, color photographs, digital pixel arrays, RGB and CMYK channels

Source status

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