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  1. <!DOCTYPE html>
    2. 

  2. <html lang="en">
    3. 

  3. <head>
    4. 

  4. 	<meta charset="utf-8">
    5. 

  5. 	<title>NURBSUtils - Three.js Docs</title>
    6. 

  6. 	<meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
    7. 

  7. 	<script src="../scripts/highlight.min.js"></script>
    8. 

  8. 	<link type="text/css" rel="stylesheet" href="../styles/highlight-three.css">
    9. 

  9. 	<link type="text/css" rel="stylesheet" href="../styles/page.css">
    10. 

  10. </head>
    11. 

  11. <body>
    12. 

  12. 	<h1 translate="no">NURBSUtils</h1>
    13. 

  13. 		<section>
    14. 

  14. 			<header>
    15. 

  15. 			</header>
    16. 

  16. 			<article>
    17. 

  17. 				<h2 class="subsection-title">Import</h2>
    18. 

  18. 				<p><span translate="no">NURBSUtils</span> is an addon, and must be imported explicitly, see <a href="https://threejs.org/manual/#en/installation" target="_blank" rel="noopener">Installation#Addons</a>.</p>
    19. 

  19. 				<pre><code class="language-js">import * as NURBSUtils from 'three/addons/curves/NURBSUtils.js';</code></pre>
    20. 

  20. 				<div class="container-overview">
    21. 

  21. 				</div>
    22. 

  22. 				<h2 class="subsection-title">Methods</h2>
    23. 

  23. 					<h3 class="name name-method" id="~calcBSplineDerivatives" translate="no">.<a href="#~calcBSplineDerivatives">calcBSplineDerivatives</a><span class="signature">( p : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span>, P : <span class="param-type">Array.&lt;<a href="Vector4.html">Vector4</a>></span>, u : <span class="param-type">number</span>, nd : <span class="param-type">number</span> )</span><span class="type-signature"> : Array.&lt;<a href="Vector4.html">Vector4</a>></span> <span class="type-signature">(inner) </span></h3>
    24. 

  24. 					<div class="method">
    25. 

  25. 						<div class="description">
    26. 

  26. 							<p>Calculates derivatives of a B-Spline. See The NURBS Book, page 93, algorithm A3.2.</p>
    27. 

  27. 						</div>
    28. 

  28. 						<table class="params">
    29. 

  29. 							<tbody>
    30. 

  30. 								<tr>
    31. 

  31. 									<td class="name">
    32. 

  32. 										<strong>p</strong>
    33. 

  33. 									</td>
    34. 

  34. 									<td class="description last">
    35. 

  35. 										<p>The degree.</p>
    36. 

  36. 									</td>
    37. 

  37. 								</tr>
    38. 

  38. 								<tr>
    39. 

  39. 									<td class="name">
    40. 

  40. 										<strong>U</strong>
    41. 

  41. 									</td>
    42. 

  42. 									<td class="description last">
    43. 

  43. 										<p>The knot vector.</p>
    44. 

  44. 									</td>
    45. 

  45. 								</tr>
    46. 

  46. 								<tr>
    47. 

  47. 									<td class="name">
    48. 

  48. 										<strong>P</strong>
    49. 

  49. 									</td>
    50. 

  50. 									<td class="description last">
    51. 

  51. 										<p>The control points</p>
    52. 

  52. 									</td>
    53. 

  53. 								</tr>
    54. 

  54. 								<tr>
    55. 

  55. 									<td class="name">
    56. 

  56. 										<strong>u</strong>
    57. 

  57. 									</td>
    58. 

  58. 									<td class="description last">
    59. 

  59. 										<p>The parametric point.</p>
    60. 

  60. 									</td>
    61. 

  61. 								</tr>
    62. 

  62. 								<tr>
    63. 

  63. 									<td class="name">
    64. 

  64. 										<strong>nd</strong>
    65. 

  65. 									</td>
    66. 

  66. 									<td class="description last">
    67. 

  67. 										<p>The number of derivatives.</p>
    68. 

  68. 									</td>
    69. 

  69. 								</tr>
    70. 

  70. 							</tbody>
    71. 

  71. 						</table>
    72. 

  72. 						<dl class="details">
    73. 

  73. 							<dt class="tag-returns"><strong>Returns:</strong> An array[d+1] with derivatives.</dt>
    74. 

  74. 						</dl>
    75. 

  75. 					</div>
    76. 

  76. 					<h3 class="name name-method" id="~calcBSplinePoint" translate="no">.<a href="#~calcBSplinePoint">calcBSplinePoint</a><span class="signature">( p : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span>, P : <span class="param-type">Array.&lt;<a href="Vector4.html">Vector4</a>></span>, u : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Vector4.html">Vector4</a></span> <span class="type-signature">(inner) </span></h3>
    77. 

  77. 					<div class="method">
    78. 

  78. 						<div class="description">
    79. 

  79. 							<p>Calculates B-Spline curve points. See The NURBS Book, page 82, algorithm A3.1.</p>
    80. 

  80. 						</div>
    81. 

  81. 						<table class="params">
    82. 

  82. 							<tbody>
    83. 

  83. 								<tr>
    84. 

  84. 									<td class="name">
    85. 

  85. 										<strong>p</strong>
    86. 

  86. 									</td>
    87. 

  87. 									<td class="description last">
    88. 

  88. 										<p>The degree of the B-Spline.</p>
    89. 

  89. 									</td>
    90. 

  90. 								</tr>
    91. 

  91. 								<tr>
    92. 

  92. 									<td class="name">
    93. 

  93. 										<strong>U</strong>
    94. 

  94. 									</td>
    95. 

  95. 									<td class="description last">
    96. 

  96. 										<p>The knot vector.</p>
    97. 

  97. 									</td>
    98. 

  98. 								</tr>
    99. 

  99. 								<tr>
    100. 

  100. 									<td class="name">
    101. 

  101. 										<strong>P</strong>
    102. 

  102. 									</td>
    103. 

  103. 									<td class="description last">
    104. 

  104. 										<p>The control points</p>
    105. 

  105. 									</td>
    106. 

  106. 								</tr>
    107. 

  107. 								<tr>
    108. 

  108. 									<td class="name">
    109. 

  109. 										<strong>u</strong>
    110. 

  110. 									</td>
    111. 

  111. 									<td class="description last">
    112. 

  112. 										<p>The parametric point.</p>
    113. 

  113. 									</td>
    114. 

  114. 								</tr>
    115. 

  115. 							</tbody>
    116. 

  116. 						</table>
    117. 

  117. 						<dl class="details">
    118. 

  118. 							<dt class="tag-returns"><strong>Returns:</strong> The point for given <code>u</code>.</dt>
    119. 

  119. 						</dl>
    120. 

  120. 					</div>
    121. 

  121. 					<h3 class="name name-method" id="~calcBasisFunctionDerivatives" translate="no">.<a href="#~calcBasisFunctionDerivatives">calcBasisFunctionDerivatives</a><span class="signature">( span : <span class="param-type">number</span>, u : <span class="param-type">number</span>, p : <span class="param-type">number</span>, n : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span> )</span><span class="type-signature"> : Array.&lt;Array.&lt;number>></span> <span class="type-signature">(inner) </span></h3>
    122. 

  122. 					<div class="method">
    123. 

  123. 						<div class="description">
    124. 

  124. 							<p>Calculates basis functions derivatives. See The NURBS Book, page 72, algorithm A2.3.</p>
    125. 

  125. 						</div>
    126. 

  126. 						<table class="params">
    127. 

  127. 							<tbody>
    128. 

  128. 								<tr>
    129. 

  129. 									<td class="name">
    130. 

  130. 										<strong>span</strong>
    131. 

  131. 									</td>
    132. 

  132. 									<td class="description last">
    133. 

  133. 										<p>The span in which <code>u</code> lies.</p>
    134. 

  134. 									</td>
    135. 

  135. 								</tr>
    136. 

  136. 								<tr>
    137. 

  137. 									<td class="name">
    138. 

  138. 										<strong>u</strong>
    139. 

  139. 									</td>
    140. 

  140. 									<td class="description last">
    141. 

  141. 										<p>The parametric point.</p>
    142. 

  142. 									</td>
    143. 

  143. 								</tr>
    144. 

  144. 								<tr>
    145. 

  145. 									<td class="name">
    146. 

  146. 										<strong>p</strong>
    147. 

  147. 									</td>
    148. 

  148. 									<td class="description last">
    149. 

  149. 										<p>The degree.</p>
    150. 

  150. 									</td>
    151. 

  151. 								</tr>
    152. 

  152. 								<tr>
    153. 

  153. 									<td class="name">
    154. 

  154. 										<strong>n</strong>
    155. 

  155. 									</td>
    156. 

  156. 									<td class="description last">
    157. 

  157. 										<p>number of derivatives to calculate</p>
    158. 

  158. 									</td>
    159. 

  159. 								</tr>
    160. 

  160. 								<tr>
    161. 

  161. 									<td class="name">
    162. 

  162. 										<strong>U</strong>
    163. 

  163. 									</td>
    164. 

  164. 									<td class="description last">
    165. 

  165. 										<p>The knot vector.</p>
    166. 

  166. 									</td>
    167. 

  167. 								</tr>
    168. 

  168. 							</tbody>
    169. 

  169. 						</table>
    170. 

  170. 						<dl class="details">
    171. 

  171. 							<dt class="tag-returns"><strong>Returns:</strong> An array[n+1][p+1] with basis functions derivatives.</dt>
    172. 

  172. 						</dl>
    173. 

  173. 					</div>
    174. 

  174. 					<h3 class="name name-method" id="~calcBasisFunctions" translate="no">.<a href="#~calcBasisFunctions">calcBasisFunctions</a><span class="signature">( span : <span class="param-type">number</span>, u : <span class="param-type">number</span>, p : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span> )</span><span class="type-signature"> : Array.&lt;number></span> <span class="type-signature">(inner) </span></h3>
    175. 

  175. 					<div class="method">
    176. 

  176. 						<div class="description">
    177. 

  177. 							<p>Calculates basis functions. See The NURBS Book, page 70, algorithm A2.2.</p>
    178. 

  178. 						</div>
    179. 

  179. 						<table class="params">
    180. 

  180. 							<tbody>
    181. 

  181. 								<tr>
    182. 

  182. 									<td class="name">
    183. 

  183. 										<strong>span</strong>
    184. 

  184. 									</td>
    185. 

  185. 									<td class="description last">
    186. 

  186. 										<p>The span in which <code>u</code> lies.</p>
    187. 

  187. 									</td>
    188. 

  188. 								</tr>
    189. 

  189. 								<tr>
    190. 

  190. 									<td class="name">
    191. 

  191. 										<strong>u</strong>
    192. 

  192. 									</td>
    193. 

  193. 									<td class="description last">
    194. 

  194. 										<p>The parametric value.</p>
    195. 

  195. 									</td>
    196. 

  196. 								</tr>
    197. 

  197. 								<tr>
    198. 

  198. 									<td class="name">
    199. 

  199. 										<strong>p</strong>
    200. 

  200. 									</td>
    201. 

  201. 									<td class="description last">
    202. 

  202. 										<p>The degree.</p>
    203. 

  203. 									</td>
    204. 

  204. 								</tr>
    205. 

  205. 								<tr>
    206. 

  206. 									<td class="name">
    207. 

  207. 										<strong>U</strong>
    208. 

  208. 									</td>
    209. 

  209. 									<td class="description last">
    210. 

  210. 										<p>The knot vector.</p>
    211. 

  211. 									</td>
    212. 

  212. 								</tr>
    213. 

  213. 							</tbody>
    214. 

  214. 						</table>
    215. 

  215. 						<dl class="details">
    216. 

  216. 							<dt class="tag-returns"><strong>Returns:</strong> Array[p+1] with basis functions values.</dt>
    217. 

  217. 						</dl>
    218. 

  218. 					</div>
    219. 

  219. 					<h3 class="name name-method" id="~calcKoverI" translate="no">.<a href="#~calcKoverI">calcKoverI</a><span class="signature">( k : <span class="param-type">number</span>, i : <span class="param-type">number</span> )</span><span class="type-signature"> : number</span> <span class="type-signature">(inner) </span></h3>
    220. 

  220. 					<div class="method">
    221. 

  221. 						<div class="description">
    222. 

  222. 							<p>Calculates &quot;K over I&quot;.</p>
    223. 

  223. 						</div>
    224. 

  224. 						<table class="params">
    225. 

  225. 							<tbody>
    226. 

  226. 								<tr>
    227. 

  227. 									<td class="name">
    228. 

  228. 										<strong>k</strong>
    229. 

  229. 									</td>
    230. 

  230. 									<td class="description last">
    231. 

  231. 										<p>The K value.</p>
    232. 

  232. 									</td>
    233. 

  233. 								</tr>
    234. 

  234. 								<tr>
    235. 

  235. 									<td class="name">
    236. 

  236. 										<strong>i</strong>
    237. 

  237. 									</td>
    238. 

  238. 									<td class="description last">
    239. 

  239. 										<p>The I value.</p>
    240. 

  240. 									</td>
    241. 

  241. 								</tr>
    242. 

  242. 							</tbody>
    243. 

  243. 						</table>
    244. 

  244. 						<dl class="details">
    245. 

  245. 							<dt class="tag-returns"><strong>Returns:</strong> k!/(i!(k-i)!)</dt>
    246. 

  246. 						</dl>
    247. 

  247. 					</div>
    248. 

  248. 					<h3 class="name name-method" id="~calcNURBSDerivatives" translate="no">.<a href="#~calcNURBSDerivatives">calcNURBSDerivatives</a><span class="signature">( p : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span>, P : <span class="param-type">Array.&lt;<a href="Vector4.html">Vector4</a>></span>, u : <span class="param-type">number</span>, nd : <span class="param-type">number</span> )</span><span class="type-signature"> : Array.&lt;<a href="Vector3.html">Vector3</a>></span> <span class="type-signature">(inner) </span></h3>
    249. 

  249. 					<div class="method">
    250. 

  250. 						<div class="description">
    251. 

  251. 							<p>Calculates NURBS curve derivatives. See The NURBS Book, page 127, algorithm A4.2.</p>
    252. 

  252. 						</div>
    253. 

  253. 						<table class="params">
    254. 

  254. 							<tbody>
    255. 

  255. 								<tr>
    256. 

  256. 									<td class="name">
    257. 

  257. 										<strong>p</strong>
    258. 

  258. 									</td>
    259. 

  259. 									<td class="description last">
    260. 

  260. 										<p>The degree.</p>
    261. 

  261. 									</td>
    262. 

  262. 								</tr>
    263. 

  263. 								<tr>
    264. 

  264. 									<td class="name">
    265. 

  265. 										<strong>U</strong>
    266. 

  266. 									</td>
    267. 

  267. 									<td class="description last">
    268. 

  268. 										<p>The knot vector.</p>
    269. 

  269. 									</td>
    270. 

  270. 								</tr>
    271. 

  271. 								<tr>
    272. 

  272. 									<td class="name">
    273. 

  273. 										<strong>P</strong>
    274. 

  274. 									</td>
    275. 

  275. 									<td class="description last">
    276. 

  276. 										<p>The control points in homogeneous space.</p>
    277. 

  277. 									</td>
    278. 

  278. 								</tr>
    279. 

  279. 								<tr>
    280. 

  280. 									<td class="name">
    281. 

  281. 										<strong>u</strong>
    282. 

  282. 									</td>
    283. 

  283. 									<td class="description last">
    284. 

  284. 										<p>The parametric point.</p>
    285. 

  285. 									</td>
    286. 

  286. 								</tr>
    287. 

  287. 								<tr>
    288. 

  288. 									<td class="name">
    289. 

  289. 										<strong>nd</strong>
    290. 

  290. 									</td>
    291. 

  291. 									<td class="description last">
    292. 

  292. 										<p>The number of derivatives.</p>
    293. 

  293. 									</td>
    294. 

  294. 								</tr>
    295. 

  295. 							</tbody>
    296. 

  296. 						</table>
    297. 

  297. 						<dl class="details">
    298. 

  298. 							<dt class="tag-returns"><strong>Returns:</strong> array with derivatives for rational curve.</dt>
    299. 

  299. 						</dl>
    300. 

  300. 					</div>
    301. 

  301. 					<h3 class="name name-method" id="~calcRationalCurveDerivatives" translate="no">.<a href="#~calcRationalCurveDerivatives">calcRationalCurveDerivatives</a><span class="signature">( Pders : <span class="param-type">Array.&lt;<a href="Vector4.html">Vector4</a>></span> )</span><span class="type-signature"> : Array.&lt;<a href="Vector3.html">Vector3</a>></span> <span class="type-signature">(inner) </span></h3>
    302. 

  302. 					<div class="method">
    303. 

  303. 						<div class="description">
    304. 

  304. 							<p>Calculates derivatives (0-nd) of rational curve. See The NURBS Book, page 127, algorithm A4.2.</p>
    305. 

  305. 						</div>
    306. 

  306. 						<table class="params">
    307. 

  307. 							<tbody>
    308. 

  308. 								<tr>
    309. 

  309. 									<td class="name">
    310. 

  310. 										<strong>Pders</strong>
    311. 

  311. 									</td>
    312. 

  312. 									<td class="description last">
    313. 

  313. 										<p>Array with derivatives.</p>
    314. 

  314. 									</td>
    315. 

  315. 								</tr>
    316. 

  316. 							</tbody>
    317. 

  317. 						</table>
    318. 

  318. 						<dl class="details">
    319. 

  319. 							<dt class="tag-returns"><strong>Returns:</strong> An array with derivatives for rational curve.</dt>
    320. 

  320. 						</dl>
    321. 

  321. 					</div>
    322. 

  322. 					<h3 class="name name-method" id="~calcSurfacePoint" translate="no">.<a href="#~calcSurfacePoint">calcSurfacePoint</a><span class="signature">( p : <span class="param-type">number</span>, q : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span>, V : <span class="param-type">Array.&lt;number></span>, P : <span class="param-type">Array.&lt;Array.&lt;<a href="Vector4.html">Vector4</a>>></span>, u : <span class="param-type">number</span>, v : <span class="param-type">number</span>, target : <span class="param-type"><a href="Vector3.html">Vector3</a></span> )</span> <span class="type-signature">(inner) </span></h3>
    323. 

  323. 					<div class="method">
    324. 

  324. 						<div class="description">
    325. 

  325. 							<p>Calculates a rational B-Spline surface point. See The NURBS Book, page 134, algorithm A4.3.</p>
    326. 

  326. 						</div>
    327. 

  327. 						<table class="params">
    328. 

  328. 							<tbody>
    329. 

  329. 								<tr>
    330. 

  330. 									<td class="name">
    331. 

  331. 										<strong>p</strong>
    332. 

  332. 									</td>
    333. 

  333. 									<td class="description last">
    334. 

  334. 										<p>The first degree of B-Spline surface.</p>
    335. 

  335. 									</td>
    336. 

  336. 								</tr>
    337. 

  337. 								<tr>
    338. 

  338. 									<td class="name">
    339. 

  339. 										<strong>q</strong>
    340. 

  340. 									</td>
    341. 

  341. 									<td class="description last">
    342. 

  342. 										<p>The second degree of B-Spline surface.</p>
    343. 

  343. 									</td>
    344. 

  344. 								</tr>
    345. 

  345. 								<tr>
    346. 

  346. 									<td class="name">
    347. 

  347. 										<strong>U</strong>
    348. 

  348. 									</td>
    349. 

  349. 									<td class="description last">
    350. 

  350. 										<p>The first knot vector.</p>
    351. 

  351. 									</td>
    352. 

  352. 								</tr>
    353. 

  353. 								<tr>
    354. 

  354. 									<td class="name">
    355. 

  355. 										<strong>V</strong>
    356. 

  356. 									</td>
    357. 

  357. 									<td class="description last">
    358. 

  358. 										<p>The second knot vector.</p>
    359. 

  359. 									</td>
    360. 

  360. 								</tr>
    361. 

  361. 								<tr>
    362. 

  362. 									<td class="name">
    363. 

  363. 										<strong>P</strong>
    364. 

  364. 									</td>
    365. 

  365. 									<td class="description last">
    366. 

  366. 										<p>The control points in homogeneous space.</p>
    367. 

  367. 									</td>
    368. 

  368. 								</tr>
    369. 

  369. 								<tr>
    370. 

  370. 									<td class="name">
    371. 

  371. 										<strong>u</strong>
    372. 

  372. 									</td>
    373. 

  373. 									<td class="description last">
    374. 

  374. 										<p>The first parametric point.</p>
    375. 

  375. 									</td>
    376. 

  376. 								</tr>
    377. 

  377. 								<tr>
    378. 

  378. 									<td class="name">
    379. 

  379. 										<strong>v</strong>
    380. 

  380. 									</td>
    381. 

  381. 									<td class="description last">
    382. 

  382. 										<p>The second parametric point.</p>
    383. 

  383. 									</td>
    384. 

  384. 								</tr>
    385. 

  385. 								<tr>
    386. 

  386. 									<td class="name">
    387. 

  387. 										<strong>target</strong>
    388. 

  388. 									</td>
    389. 

  389. 									<td class="description last">
    390. 

  390. 										<p>The target vector.</p>
    391. 

  391. 									</td>
    392. 

  392. 								</tr>
    393. 

  393. 							</tbody>
    394. 

  394. 						</table>
    395. 

  395. 					</div>
    396. 

  396. 					<h3 class="name name-method" id="~calcVolumePoint" translate="no">.<a href="#~calcVolumePoint">calcVolumePoint</a><span class="signature">( p : <span class="param-type">number</span>, q : <span class="param-type">number</span>, r : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span>, V : <span class="param-type">Array.&lt;number></span>, W : <span class="param-type">Array.&lt;number></span>, P : <span class="param-type">Array.&lt;Array.&lt;Array.&lt;<a href="Vector4.html">Vector4</a>>>></span>, u : <span class="param-type">number</span>, v : <span class="param-type">number</span>, w : <span class="param-type">number</span>, target : <span class="param-type"><a href="Vector3.html">Vector3</a></span> )</span> <span class="type-signature">(inner) </span></h3>
    397. 

  397. 					<div class="method">
    398. 

  398. 						<div class="description">
    399. 

  399. 							<p>Calculates a rational B-Spline volume point. See The NURBS Book, page 134, algorithm A4.3.</p>
    400. 

  400. 						</div>
    401. 

  401. 						<table class="params">
    402. 

  402. 							<tbody>
    403. 

  403. 								<tr>
    404. 

  404. 									<td class="name">
    405. 

  405. 										<strong>p</strong>
    406. 

  406. 									</td>
    407. 

  407. 									<td class="description last">
    408. 

  408. 										<p>The first degree of B-Spline surface.</p>
    409. 

  409. 									</td>
    410. 

  410. 								</tr>
    411. 

  411. 								<tr>
    412. 

  412. 									<td class="name">
    413. 

  413. 										<strong>q</strong>
    414. 

  414. 									</td>
    415. 

  415. 									<td class="description last">
    416. 

  416. 										<p>The second degree of B-Spline surface.</p>
    417. 

  417. 									</td>
    418. 

  418. 								</tr>
    419. 

  419. 								<tr>
    420. 

  420. 									<td class="name">
    421. 

  421. 										<strong>r</strong>
    422. 

  422. 									</td>
    423. 

  423. 									<td class="description last">
    424. 

  424. 										<p>The third degree of B-Spline surface.</p>
    425. 

  425. 									</td>
    426. 

  426. 								</tr>
    427. 

  427. 								<tr>
    428. 

  428. 									<td class="name">
    429. 

  429. 										<strong>U</strong>
    430. 

  430. 									</td>
    431. 

  431. 									<td class="description last">
    432. 

  432. 										<p>The first knot vector.</p>
    433. 

  433. 									</td>
    434. 

  434. 								</tr>
    435. 

  435. 								<tr>
    436. 

  436. 									<td class="name">
    437. 

  437. 										<strong>V</strong>
    438. 

  438. 									</td>
    439. 

  439. 									<td class="description last">
    440. 

  440. 										<p>The second knot vector.</p>
    441. 

  441. 									</td>
    442. 

  442. 								</tr>
    443. 

  443. 								<tr>
    444. 

  444. 									<td class="name">
    445. 

  445. 										<strong>W</strong>
    446. 

  446. 									</td>
    447. 

  447. 									<td class="description last">
    448. 

  448. 										<p>The third knot vector.</p>
    449. 

  449. 									</td>
    450. 

  450. 								</tr>
    451. 

  451. 								<tr>
    452. 

  452. 									<td class="name">
    453. 

  453. 										<strong>P</strong>
    454. 

  454. 									</td>
    455. 

  455. 									<td class="description last">
    456. 

  456. 										<p>The control points in homogeneous space.</p>
    457. 

  457. 									</td>
    458. 

  458. 								</tr>
    459. 

  459. 								<tr>
    460. 

  460. 									<td class="name">
    461. 

  461. 										<strong>u</strong>
    462. 

  462. 									</td>
    463. 

  463. 									<td class="description last">
    464. 

  464. 										<p>The first parametric point.</p>
    465. 

  465. 									</td>
    466. 

  466. 								</tr>
    467. 

  467. 								<tr>
    468. 

  468. 									<td class="name">
    469. 

  469. 										<strong>v</strong>
    470. 

  470. 									</td>
    471. 

  471. 									<td class="description last">
    472. 

  472. 										<p>The second parametric point.</p>
    473. 

  473. 									</td>
    474. 

  474. 								</tr>
    475. 

  475. 								<tr>
    476. 

  476. 									<td class="name">
    477. 

  477. 										<strong>w</strong>
    478. 

  478. 									</td>
    479. 

  479. 									<td class="description last">
    480. 

  480. 										<p>The third parametric point.</p>
    481. 

  481. 									</td>
    482. 

  482. 								</tr>
    483. 

  483. 								<tr>
    484. 

  484. 									<td class="name">
    485. 

  485. 										<strong>target</strong>
    486. 

  486. 									</td>
    487. 

  487. 									<td class="description last">
    488. 

  488. 										<p>The target vector.</p>
    489. 

  489. 									</td>
    490. 

  490. 								</tr>
    491. 

  491. 							</tbody>
    492. 

  492. 						</table>
    493. 

  493. 					</div>
    494. 

  494. 					<h3 class="name name-method" id="~findSpan" translate="no">.<a href="#~findSpan">findSpan</a><span class="signature">( p : <span class="param-type">number</span>, u : <span class="param-type">number</span>, U : <span class="param-type">Array.&lt;number></span> )</span><span class="type-signature"> : number</span> <span class="type-signature">(inner) </span></h3>
    495. 

  495. 					<div class="method">
    496. 

  496. 						<div class="description">
    497. 

  497. 							<p>Finds knot vector span.</p>
    498. 

  498. 						</div>
    499. 

  499. 						<table class="params">
    500. 

  500. 							<tbody>
    501. 

  501. 								<tr>
    502. 

  502. 									<td class="name">
    503. 

  503. 										<strong>p</strong>
    504. 

  504. 									</td>
    505. 

  505. 									<td class="description last">
    506. 

  506. 										<p>The degree.</p>
    507. 

  507. 									</td>
    508. 

  508. 								</tr>
    509. 

  509. 								<tr>
    510. 

  510. 									<td class="name">
    511. 

  511. 										<strong>u</strong>
    512. 

  512. 									</td>
    513. 

  513. 									<td class="description last">
    514. 

  514. 										<p>The parametric value.</p>
    515. 

  515. 									</td>
    516. 

  516. 								</tr>
    517. 

  517. 								<tr>
    518. 

  518. 									<td class="name">
    519. 

  519. 										<strong>U</strong>
    520. 

  520. 									</td>
    521. 

  521. 									<td class="description last">
    522. 

  522. 										<p>The knot vector.</p>
    523. 

  523. 									</td>
    524. 

  524. 								</tr>
    525. 

  525. 							</tbody>
    526. 

  526. 						</table>
    527. 

  527. 						<dl class="details">
    528. 

  528. 							<dt class="tag-returns"><strong>Returns:</strong> The span.</dt>
    529. 

  529. 						</dl>
    530. 

  530. 					</div>
    531. 

  531. 				<h2 class="subsection-title">Source</h2>
    532. 

  532. 				<p>
    533. 

  533. 					<a href="https://github.com/mrdoob/three.js/blob/master/examples/jsm/curves/NURBSUtils.js" translate="no" target="_blank" rel="noopener">examples/jsm/curves/NURBSUtils.js</a>
    534. 

  534. 				</p>
    535. 

  535. 			</article>
    536. 

  536. 		</section>
    537. 

  537. <script src="../scripts/linenumber.js"></script>
    538. 

  538. <script src="../scripts/page.js"></script>
    539. 

  539. </body>
    540. 

  540. </html>
    541.
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