Reposted by @mcapousek.bsky.social
I just posted a blog post on my hyperbezier curve: linebender.org/blog/hyperbe...
I've actually been working on this for years, and only recently figured out a solution to the parameter mapping problem. I think this curve is potentially better than cubic Béziers for 2D vector graphic design.
![A number line where 3-bit integers in the range [0..7] being mapped to real numbers with two approaches: the standard (top) and alternative (bottom).
On the X-axis we’ve got a number line and the locations of brown circles on it represent the decoded floating-point values. The numbers inside are the integer inputs. Each integer has arrows pointing to it; these show a range of floating-point values that round to it. I’ll call these ranges “bins” in the rest of this article.](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:gv6v7fo4tpkf3kjrdd4l2igh/bafkreieevjv442rgw34wyjn7ia77sban54wmfoq2k2awstmk4o7k3bo4zm)
