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mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-30 19:50:01 +02:00

deploy regeneration

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Pomax
2022-01-04 11:50:23 -08:00
parent ce1ee672a4
commit b243e9830f
508 changed files with 59429 additions and 32670 deletions

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@@ -1,17 +1,16 @@
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n+1 n __ n+1 n
Bézier(n,t)= w (1 - t) B (t) + w t B (t)
‾‾ i=0 i i ‾‾ i=0 i i
__ n+1 k-i k __ n+1 i+1 k
= w ─── B (t) + w ─── B (t), where k = n + 1
‾‾ i=0 i k i ‾‾ i=0 i k i+1
__ n+1 k-i k __ n+1 i k
= w ─── B (t) + p ─ B (t)
‾‾ i=0 i k i ‾‾ i=0 i-1 k i
__ n+1 ╭ k-i i ╮ k
= │ w ─── + p ─ │ B (t)
‾‾ i=0 ╰ i k i-1 k ╯ i
__ n+1 k i
= (w (1-s) + p s) B (t), where s = ─
‾‾ i=0 i i-1 i k
__ n+1 n __ n+1 n
Bézier(n,t)= w (1 - t) B (t) + w t B (t)
‾‾ i=0 i i ‾‾ i=0 i i
__ n+1 k-i k __ n+1 i+1 k
= w ─── B (t) + w ─── B (t), where k = n + 1
‾‾ i=0 i k i ‾‾ i=0 i k i+1
__ n+1 k-i k __ n+1 i k
= w ─── B (t) + p ─ B (t)
‾‾ i=0 i k i ‾‾ i=0 i-1 k i
__ n+1 ╭ k-i i ╮ k
= │ w ─── + p ─ │ B (t)
‾‾ i=0 ╰ i k i-1 k ╯ i
__ n+1 k i
= (w (1-s) + p s) B (t), where s = ─
‾‾ i=0 i i-1 i k