{"id":86601,"date":"2023-11-09T02:18:56","date_gmt":"2023-11-09T02:18:56","guid":{"rendered":"https:\/\/science-hub.click\/B%E3%82%B9%E3%83%97%E3%83%A9%E3%82%A4%E3%83%B3%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2023-11-09T02:18:56","modified_gmt":"2023-11-09T02:18:56","slug":"B%E3%82%B9%E3%83%97%E3%83%A9%E3%82%A4%E3%83%B3%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=86601","title":{"rendered":"B \u30b9\u30d7\u30e9\u30a4\u30f3\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"

\u6570\u5b66\u3067\u306f\u3001 B \u30b9\u30d7\u30e9\u30a4\u30f3\u306f<\/strong>\u3001\u6700\u5c0f\u9650\u306e\u30b3\u30f3\u30d1\u30af\u30c8\u306a\u30b5\u30dd\u30fc\u30c8\u3092\u5099\u3048\u305f\u975e\u8ca0\u306e\u30b9\u30d7\u30e9\u30a4\u30f3\u306e\u7dda\u5f62\u7d50\u5408\u3067\u3059\u3002\u30b9\u30d7\u30e9\u30a4\u30f3\u306f\u30d9\u30b8\u30a7\u66f2\u7dda\u3092\u4e00\u822c\u5316\u3057\u305f\u3082\u306e\u3067\u3042\u308a\u3001NURBS \u306b\u3088\u3063\u3066\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>

\u610f\u5473<\/a><\/span><\/span><\/h2>

[0,1] \u306bm<\/i> +1 \u500b\u306e\u30ce\u30fc\u30c9t<\/i> i \u304c<\/i><\/sub>\u3042\u308b\u3068\u3057\u307e\u3059\u3002 <\/p>

$$ {t_0 < t_1 < \\ldots < t_m} $$<\/div><\/dd><\/dl>

\u6b21\u6570<\/span>n<\/i>\u306e\u30b9\u30d7\u30e9\u30a4\u30f3<\/a><\/span>\u66f2\u7dda<\/a><\/span><\/strong>\u306f\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u66f2\u7dda\u3067\u3059<\/p>

$$ {\\mathbf{S}:[0,1] \\to \\mathbb{R}^2} $$<\/div><\/dd><\/dl>

n<\/i>\u6b21\u306e B \u30b9\u30d7\u30e9\u30a4\u30f3\u95a2\u6570\u3067\u69cb\u6210\u3055\u308c\u308b<\/p>

$$ {\\mathbf{S}(t)= \\sum_{i=0}^{m-1} \\mathbf{P}_{i} b_{i,n}(t) \\mbox{ , } t \\in [0,1]} $$<\/div> \u3002<\/dd><\/dl>

P<\/strong> i \u306f<\/i><\/sub>\u5236\u5fa1<\/span>\u70b9<\/strong>\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p>

n<\/i>\u6b21\u306em<\/i> +1 B \u30b9\u30d7\u30e9\u30a4\u30f3\u95a2\u6570\u306f\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059<\/p>

$$ {b_{j,0}(t)\u00a0:= \\left\\{\\begin{matrix} 1 & \\mathrm{si} \\quad t_j \\leqslant t < t_{j+1} \\\\ 0 & \\mathrm{sinon} \\end{matrix} \\right.} $$<\/div><\/dd><\/dl>
$$ {b_{j,n}(t)\u00a0:= \\frac{t – t_j}{t_{j+n} – t_j} b_{j,n-1}(t) + \\frac{t_{j+n+1} – t}{t_{j+n+1} – t_{j+1}} b_{j+1,n-1}(t).} $$<\/div><\/dd><\/dl>

\u30ce\u30fc\u30c9\u304c\u7b49\u8ddd\u96e2\u306b\u3042\u308b\u5834\u5408\u3001B \u30b9\u30d7\u30e9\u30a4\u30f3\u306f\u5747\u4e00\u3067\u3042\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/p>

\n\"<\/figure>

\u30d7\u30ed\u30d1\u30c6\u30a3<\/span><\/h2>

\u57fa\u5e95\u95a2\u6570\u306e\u5f62\u72b6\u306f\u30ce\u30fc\u30c9\u306e\u4f4d\u7f6e\u306b\u3088\u3063\u3066\u6c7a\u307e\u308a\u307e\u3059\u3002<\/p>

\u66f2\u7dda\u306f\u5236\u5fa1\u70b9\u306e\u51f8\u5305<\/a><\/span>\u306e\u5185\u5074\u306b\u3042\u308a\u307e\u3059\u3002<\/p>

\u6b21\u6570n<\/i>\u306eB \u30b9\u30d7\u30e9\u30a4\u30f3<\/a><\/span><\/p>

\u30d3<\/i>\u3001<\/i> n<\/i><\/sub> ( t<\/i> )<\/span><\/dd><\/dl>

\u533a\u9593 [ ti<\/i> , t<\/i> i+n +<\/i><\/sub> 1<\/i><\/sub> ] \u3067\u975e\u30bc\u30ed\u3067\u3059: <\/p>

$$ {b_{i,n}(t) = \\left\\{\\begin{matrix} width=} $$<\/div> 0 & \\mathrm{si} \\quad t_{i} \\leqslant t < t_{i+n+1} \\\\ 0 & \\mathrm{if not} \\end{matrix} \\right.” ><\/dd><\/dl>

\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5236\u5fa1\u70b9\u3092<\/a><\/span>\u79fb\u52d5\u3059\u308b\u3068\u3001\u66f2\u7dda\u306e\u5f62\u72b6\u306f\u5c40\u6240\u7684\u306b\u306e\u307f\u5909\u66f4\u3055\u308c\u307e\u3059\u3002<\/p><\/div>

\n\"<\/figure>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. Nuus \u2013 afrikaans<\/a><\/li>
  2. The – – – – \u2013 ancien anglais<\/a><\/li>
  3. \u062e\u0628\u0631 (\u0625\u0639\u0644\u0627\u0645) \u2013 arabe<\/a><\/li>
  4. \u071b\u0710\u0712\u0710 \u2013 aram\u00e9en<\/a><\/li>
  5. Noticia \u2013 asturien<\/a><\/li>
  6. X\u0259b\u0259r \u2013 azerba\u00efdjanais<\/a><\/li><\/ol><\/div>\n
    \n

    \n B \u30b9\u30d7\u30e9\u30a4\u30f3\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n