- From: yarusome via GitHub <sysbot+gh@w3.org>
- Date: Tue, 28 Feb 2023 15:35:42 +0000
- To: public-css-archive@w3.org
I'd like to make new proposals consisting of two weakly related parts: - a spread-adjustment formula based on geometric means; - two variants of formulae for better appoximating the actual shape of the spread of an elliptic border. Here's the demo based on Loirooriol's with two more test cases added: [algos.zip](https://github.com/w3c/csswg-drafts/files/10851960/algos.zip) --- Summary for the spread-adjustment formula: If the spread is less than the radius, the spread is not adjusted. Otherwise the adjusted spread satisfies: ```` radius + adjusted_spread = C * (radius + spread) ^ coverage * radius ^ (1 - coverage), ```` where ```` coverage = min(radius * 2 / side_length, 1), ```` and the constant `C = 2 ^ (1 - coverage)` guarantees that the formula is continuous at `radius = spread`. --- Summary for the elliptic correction formulae: For an elliptic border, both variants ensure that the approximate spread passes through a particular point on the actual spread. But to fix the radii of the approximate spread: - the first variant makes a requirement on the aspect ratio of the approximate spread; - the second variant requires that the longer axis of the approximate spread “take as much length as possible.” Personally I find the second elliptic correction formula esthetically better. --- If the WG is interested, I could also write a mathematical note explaining the derivations of the two correction formulae. -- GitHub Notification of comment by yarusome Please view or discuss this issue at https://github.com/w3c/csswg-drafts/issues/7103#issuecomment-1448395695 using your GitHub account -- Sent via github-notify-ml as configured in https://github.com/w3c/github-notify-ml-config
Received on Tuesday, 28 February 2023 15:35:44 UTC