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refactor(blend): evaluate the Bézier with de Casteljau from the kernel

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BLEND summed Bernstein terms using a binomial-coefficient table with
entries for degrees three and five — the two it builds — and a fallback
of one for everything else. Correct today, and quietly wrong the moment
a third continuity mode is added. De Casteljau needs no coefficients at
all, works at any degree, and is steadier: the Bernstein terms are large
coefficients times small powers and they cancel, while repeated
interpolation only ever averages neighbours.

Curvature through three points moves with it, since both are the 3D
arithmetic a blend needs and neither has a planar counterpart to
delegate to.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
This commit is contained in:
Hakan Seven 2026-08-09 01:47:04 +03:00
commit 0677dd146c
2 changed files with 21 additions and 40 deletions
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@ -935,7 +935,7 @@ checksum = "fc652a48c352aef3ea3aed32080501cf3ef6ed5da78602a020c991775b0aff04"
[[package]]
name = "cadkernel"
version = "0.1.0"
source = "git+https://github.com/HakanSeven12/cadkernel.git#e4c9fe626a60fd1500e8f2264e5a712e939c4027"
source = "git+https://github.com/HakanSeven12/cadkernel.git#69a8bf2b747c8b0a4abe6a571859c4c3a4f610d2"
dependencies = [
"cavalier_contours",
]