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mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-19 15:01:57 +02:00

full regeneration

This commit is contained in:
Pomax
2021-02-28 12:28:41 -08:00
parent d8fab98ec7
commit 45394f6d0f
329 changed files with 3135 additions and 2361 deletions

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
Bézier(n,t)= (1-t) B(n,t) + t B(n,t)
__ n n __ n n
= w (1 - t) B (t) + w t B (t)
‾‾ i=0 i i ‾‾ i=0 i i

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ k k-i i
Bézier(k,t) = \underset binomial term\underbrace\binomki · \ \underset polynomial term\underbrace(1-t) · t · \ \underset new
‾‾ i=0
╭ (k-i) · w + i · w ╮
│ i i-1 │
weights\underbrace│ ─────────────────────── │ , with k = n+1 and w =0 when i = 0
╰ k ╯ i-1

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n n n n-i i
Bézier(n,t) = w B (t) , where B (t) = \binomni · (1-t) · t
‾‾ i=0 i i i