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A new study corrects an important flaw in the mathematical 3D space developed by Nobel Prize-winning physicist Erwin Schrödinger and others and used by scientists and industry for more than 100 years to describe how the eye distinguishes one color from another . The research could improve the display of scientific data, improve television sets, and recalibrate the textile and paint industries.
“The assumed shape of the scene requires a paradigm shift,” said Roxana Bojak, a computer scientist with a mathematical background who created scientific visualizations at Los Alamos National Laboratory. Bujack is the lead author of the paper produced by the Los Alamos team Proceedings of the National Academy of Sciences In the mathematics of color perception.
“Our research shows that the current mathematical model of how the eye perceives color differences is incorrect. This model was proposed by Bernhard Riemann, developed by Hermann von Helmholtz and Erwin Schrödinger, both giants of mathematics and physics, and proving a mistake is a very good scientist’s dream,” said Bojak.
Modeling human color perception enables automation image processingand computer graphics and display Tasks.
“Our original idea was to develop algorithms that automatically enhance color maps for data visualization to make it easier to understand and interpret,” said Bojak. So the team was surprised to find that they were the first to decide that the long-standing application of Riemannian geometry, which allows the generalization of straight lines to curved surfaces, does not work.
To create industry standards, an accurate mathematical model is the idea scene And there is a demand for it. The first attempts used Euclidean spaces—the usual geometry taught in many high schools; More advanced models used Riemannian geometry. Models paint red, green and blue in 3D space. These are the colors that are powerfully captured by the light-detecting cones of our retinas and, unsurprisingly, the colors that mix to create all the RGB images on your computer screen.
In a study that combined psychology, biology and mathematics, Bojak and colleagues discovered that using Riemannian geometry exaggerated the perception of large color differences. This is because people recognize that a large color difference is smaller than what you would get if you added small color differences between two colors that are far apart.
Riemannian geometry cannot explain this effect.
“We didn’t expect this, and we don’t know exactly Engineering Who is this new? the color “It’s still space,” Bojack said. “Maybe we can think of it as normal, but with an extra hydration or weight function that pulls long distances, so it’s shorter. But we can’t prove that yet.”
The general perception of scientific results is distorted by colorful graphics
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Roxana Bojak et al., The Non-Rimantine Nature of Perceptual Space, Proceedings of the National Academy of Sciences (2022). DOI: 10.1073/pnas.211975311–
Introduction by
Los Alamos National Laboratory
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the quote: Math error: New study overturns 100-year-old understanding of color perception (2022, 10 August) Retrieved 10 August 2022 from https://phys.org/news/2022-08-math-error-overturns-year-old – detection .html
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