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I think the issue is you've described something qualitatively without giving the needed quantitative description of how the non euclidean space should be specif
by banachtarski 6y ago
I think the issue is you've described something qualitatively without giving the needed quantitative description of how the non euclidean space should be specified. Implicit surface with some parameterization? Family of geodesics, selecting a curve with a parameter per curve? How do artists specify where in the color space they are? How is your coordinate mapping defined?
- OscarCunningham 6y agoYou can just use the standard RGB (or any other) coordinate system, but then use data on perceptual differences to find geodesic gradients.
- steerablesafe 6y agoA parametrization and local metric at every point.
- raphlinus 6y agoThis is a good question, but it's not obvious that geodesics will lead to the most visually pleasing gradients. In particular, because of hue super-importance, a geodesic between two highly chromatic colors of different hues will bend toward gray, which might not be as representative of a "gradient" intent as linear motion through a nice space such as Oklab or IPT.