A new study corrects an important one error στον τρισδιάστατο μαθηματικό χώρο που αναπτύχθηκε από τον νομπελίστα φυσικό Erwin Schrodinger και άλλους και χρησιμοποιείται εδώ και 100 χρόνια περίπου από επιστήμονες και την βιομηχανία για να περιγράψουν πώς διακρίνει το μάτι μας το ένα Colour from the other.
The research aims to enhance scientific data visualizations, improve televisions and recalibrate the textile and dye industries.
"Our initial idea was to develop algorithms to automatically enhance color maps for data visualization, to make them easier to understand and interpret," said Roxana Bujack, a computer scientist with a background in mathematics who creates scientific visualizations at Los Alamos National Laboratory and lead author of the paper.
So the team was surprised to discover that they were the first to find that the long-standing application of Riemannian geometry, which allows the generalization of straight lines to curved surfaces, did not work.
To create industrial standards, an accurate mathematical model of perceived color space is required. The first attempts used Euclidean spaces our familiar geometry taught in high schools. The most advanced models used Riemannian geometry.
These models draw red, green and blue in 3D space. These are the colors that register most strongly on our retinas and the colors that combine to create all pictures RGB στην οθόνη του computer your. In the study, which combines psychology, biology and mathematics, Bujack and her colleagues found that using Riemannian geometry overestimates the perception of large color differences. This is because people perceive a large difference in color to be less than the sum you would get if you added small differences in color that lie between two widely separated hues. Riemannian geometry does not seem to be able to explain this phenomenon.
"We didn't expect this and we don't yet know the exact geometry of this new color space," says Bujack.
The findings are published in the journal Proceedings of the National Academy of Science.
