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image regeneration

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Pomax
2021-08-30 15:13:19 -07:00
parent e763f3b966
commit d257a563f7
32 changed files with 117 additions and 207 deletions
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@@ -41,7 +41,7 @@
<meta property="og:locale" content="zh-CN" />
<meta property="og:type" content="article" />
<meta property="og:published_time" content="2013-06-13T12:00:00+00:00" />
<meta property="og:updated_time" content="2021-08-30T21:59:19+00:00" />
<meta property="og:updated_time" content="2021-08-30T22:10:17+00:00" />
<meta property="og:author" content="Mike 'Pomax' Kamermans" />
<meta property="og:section" content="Bézier Curves" />
<meta property="og:tag" content="Bézier Curves" />
@@ -6211,28 +6211,28 @@ lli = function(line1, line2):
<!--
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ e - t · A
│ 1
╭ e = (1-t) · v + t · A │ v = ───────────
╡ 1 1 \Rightarrow ╡ 1 1-t
│ e = (1-t) · A + t · v │ e - (1-t) · A
╰ 2 2 │ 2
│ v = ───────────────
╰ 2 t
╭ e - t · A
│ 1
╭ e = (1-t) · v + t · A │ v = ───────────
╡ 1 1 ==> ╡ 1 1-t
│ e = (1-t) · A + t · v │ e - (1-t) · A
╰ 2 2 │ 2
│ v = ───────────────
╰ 2 t
-->
<img class="LaTeX SVG" src="./images/chapters/abc/3166afa345aec1abda432c39b68d39a0.svg" width="339px" height="73px" loading="lazy" />
<p>And then reverse engineer the curve's control points:</p>
<!--
\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ v - (1-t) · start
│ 1
╭ v = (1-t) · start + t · C │ C = ────────────────────
╡ 1 1 \Rightarrow ╡ 1 t
│ v = (1-t) · C + t · end │ v - t · end
╰ 2 2 │ 2
│ C = ──────────────
╰ 2 1-t
╭ v - (1-t) · start
│ 1
╭ v = (1-t) · start + t · C │ C = ────────────────────
╡ 1 1 ==> ╡ 1 t
│ v = (1-t) · C + t · end │ v - t · end
╰ 2 2 │ 2
│ C = ──────────────
╰ 2 1-t
-->
<img class="LaTeX SVG" src="./images/chapters/abc/8bd3e6fed5bf8d871d30221ae400fd93.svg" width="383px" height="75px" loading="lazy" />
<p>