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mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-22 16:23:12 +02:00

deploy regeneration

This commit is contained in:
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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@@ -18,6 +18,15 @@ Also note that you will need a TeX installation with several dependencies: on Wi
- texlive-xetex - texlive-xetex
- texlive-extra-utils - texlive-extra-utils
Specifically, you'll need `xetex`, `pdfcrop`, and the following fonts:
- Linux Libertine
- XITS Math
- TeX Gyre
- TeX Gyre Math
- Arphic-ttf
- IPAex (not type1)
You'll also need [pdf2svg](https://github.com/dawbarton/pdf2svg/), which on linux can be installed just like everything else, but on Windows means that you'll need to run the build yourself, after which you'll need to put the .exe file somewhere sensible (like `C:\Program Files (x86)\pdf2svg`) add then add that dir to your PATH, so that `pdf2svg` can be invoked like any other CLI command. You'll also need [pdf2svg](https://github.com/dawbarton/pdf2svg/), which on linux can be installed just like everything else, but on Windows means that you'll need to run the build yourself, after which you'll need to put the .exe file somewhere sensible (like `C:\Program Files (x86)\pdf2svg`) add then add that dir to your PATH, so that `pdf2svg` can be invoked like any other CLI command.
To make life easier, if your distro uses apt-get, just run this: To make life easier, if your distro uses apt-get, just run this:

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@@ -562,6 +562,6 @@
\end{bmatrix} \end{bmatrix}
\] \]
さて、これらの行列を見るに、後半部分の曲線の行列は本当に計算する必要があったのでしょうか?いえ、ありませんでした。片方の行列が得られれば、実はもう一方の行列も暗に得られたことになります。まず、行列***Q***の各行の値を右側に寄せ、右側にあった0を左側に押しのけます。次に行列を上下に反転させます。これでたちまち***Q'***が「計算」できるのです。 さて、これらの行列を見るに、後半部分の曲線の行列は本当に計算する必要があったのでしょうか?いえ、ありませんでした。片方の行列が得られれば、実はもう一方の行列も暗に得られたことになります。まず、行列 ***Q*** の各行の値を右側に寄せ、右側にあった0を左側に押しのけます。次に行列を上下に反転させます。これでたちまち ***Q'*** が「計算」できるのです。
この方法で曲線の分割を実装すれば、再帰が少なくて済みます。また、数値のキャッシュを利用した単純な演算になるので、再帰の計算コストが大きいシステムにおいては、コストが抑えられるかもしれません。行列の乗算に適したデバイスで計算を行えば、ド・カステリョのアルゴリズムに比べてかなり速くなるでしょう。 この方法で曲線の分割を実装すれば、再帰が少なくて済みます。また、数値のキャッシュを利用した単純な演算になるので、再帰の計算コストが大きいシステムにおいては、コストが抑えられるかもしれません。行列の乗算に適したデバイスで計算を行えば、ド・カステリョのアルゴリズムに比べてかなり速くなるでしょう。

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