|
@@ -0,0 +1,725 @@
|
|
|
+/**
|
|
|
+ * @author Eric Haines / http://erichaines.com/
|
|
|
+ *
|
|
|
+ * Tessellates the famous Utah teapot database by Martin Newell into triangles.
|
|
|
+ *
|
|
|
+ * Parameters: size = 50, segments = 10, bottom = true, lid = true, body = true,
|
|
|
+ * fitLid = false, blinn = true
|
|
|
+ *
|
|
|
+ * size is a relative scale: I've scaled the teapot to fit vertically between -1 and 1.
|
|
|
+ * Think of it as a "radius".
|
|
|
+ * segments - number of line segments to subdivide each patch edge;
|
|
|
+ * 1 is possible but gives degenerates, so two is the real minimum.
|
|
|
+ * bottom - boolean, if true (default) then the bottom patches are added. Some consider
|
|
|
+ * adding the bottom heresy, so set this to "false" to adhere to the One True Way.
|
|
|
+ * lid - to remove the lid and look inside, set to true.
|
|
|
+ * body - to remove the body and leave the lid, set this and "bottom" to false.
|
|
|
+ * fitLid - the lid is a tad small in the original. This stretches it a bit so you can't
|
|
|
+ * see the teapot's insides through the gap.
|
|
|
+ * blinn - Jim Blinn scaled the original data vertically by dividing by about 1.3 to look
|
|
|
+ * nicer. If you want to see the original teapot, similar to the real-world model, set
|
|
|
+ * this to false. True by default.
|
|
|
+ * See http://en.wikipedia.org/wiki/File:Original_Utah_Teapot.jpg for the original
|
|
|
+ * real-world teapot (from http://en.wikipedia.org/wiki/Utah_teapot).
|
|
|
+ *
|
|
|
+ * Note that the bottom (the last four patches) is not flat - blame Frank Crow, not me.
|
|
|
+ *
|
|
|
+ * The teapot should normally be rendered as a double sided object, since for some
|
|
|
+ * patches both sides can be seen, e.g., the gap around the lid and inside the spout.
|
|
|
+ *
|
|
|
+ * Segments 'n' determines the number of triangles output.
|
|
|
+ * Total triangles = 32*2*n*n - 8*n [degenerates at the top and bottom cusps are deleted]
|
|
|
+ *
|
|
|
+ * size_factor # triangles
|
|
|
+ * 1 56
|
|
|
+ * 2 240
|
|
|
+ * 3 552
|
|
|
+ * 4 992
|
|
|
+ *
|
|
|
+ * 10 6320
|
|
|
+ * 20 25440
|
|
|
+ * 30 57360
|
|
|
+ *
|
|
|
+ * Code converted from my ancient SPD software, http://tog.acm.org/resources/SPD/
|
|
|
+ * Created for the Udacity course "Interactive Rendering", http://bit.ly/ericity
|
|
|
+ * Lesson: https://www.udacity.com/course/viewer#!/c-cs291/l-68866048/m-106482448
|
|
|
+ * YouTube video on teapot history: https://www.youtube.com/watch?v=DxMfblPzFNc
|
|
|
+ *
|
|
|
+ * See https://en.wikipedia.org/wiki/Utah_teapot for the history of the teapot
|
|
|
+ *
|
|
|
+ */
|
|
|
+
|
|
|
+import {
|
|
|
+ BufferAttribute,
|
|
|
+ BufferGeometry,
|
|
|
+ Matrix4,
|
|
|
+ Vector3,
|
|
|
+ Vector4
|
|
|
+} from "../../../build/three.module.js";
|
|
|
+
|
|
|
+var TeapotBufferGeometry = function ( size, segments, bottom, lid, body, fitLid, blinn ) {
|
|
|
+
|
|
|
+ // 32 * 4 * 4 Bezier spline patches
|
|
|
+ var teapotPatches = [
|
|
|
+ /*rim*/
|
|
|
+ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
|
|
|
+ 3, 16, 17, 18, 7, 19, 20, 21, 11, 22, 23, 24, 15, 25, 26, 27,
|
|
|
+ 18, 28, 29, 30, 21, 31, 32, 33, 24, 34, 35, 36, 27, 37, 38, 39,
|
|
|
+ 30, 40, 41, 0, 33, 42, 43, 4, 36, 44, 45, 8, 39, 46, 47, 12,
|
|
|
+ /*body*/
|
|
|
+ 12, 13, 14, 15, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
|
|
|
+ 15, 25, 26, 27, 51, 60, 61, 62, 55, 63, 64, 65, 59, 66, 67, 68,
|
|
|
+ 27, 37, 38, 39, 62, 69, 70, 71, 65, 72, 73, 74, 68, 75, 76, 77,
|
|
|
+ 39, 46, 47, 12, 71, 78, 79, 48, 74, 80, 81, 52, 77, 82, 83, 56,
|
|
|
+ 56, 57, 58, 59, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
|
|
|
+ 59, 66, 67, 68, 87, 96, 97, 98, 91, 99, 100, 101, 95, 102, 103, 104,
|
|
|
+ 68, 75, 76, 77, 98, 105, 106, 107, 101, 108, 109, 110, 104, 111, 112, 113,
|
|
|
+ 77, 82, 83, 56, 107, 114, 115, 84, 110, 116, 117, 88, 113, 118, 119, 92,
|
|
|
+ /*handle*/
|
|
|
+ 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135,
|
|
|
+ 123, 136, 137, 120, 127, 138, 139, 124, 131, 140, 141, 128, 135, 142, 143, 132,
|
|
|
+ 132, 133, 134, 135, 144, 145, 146, 147, 148, 149, 150, 151, 68, 152, 153, 154,
|
|
|
+ 135, 142, 143, 132, 147, 155, 156, 144, 151, 157, 158, 148, 154, 159, 160, 68,
|
|
|
+ /*spout*/
|
|
|
+ 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
|
|
|
+ 164, 177, 178, 161, 168, 179, 180, 165, 172, 181, 182, 169, 176, 183, 184, 173,
|
|
|
+ 173, 174, 175, 176, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
|
|
|
+ 176, 183, 184, 173, 188, 197, 198, 185, 192, 199, 200, 189, 196, 201, 202, 193,
|
|
|
+ /*lid*/
|
|
|
+ 203, 203, 203, 203, 204, 205, 206, 207, 208, 208, 208, 208, 209, 210, 211, 212,
|
|
|
+ 203, 203, 203, 203, 207, 213, 214, 215, 208, 208, 208, 208, 212, 216, 217, 218,
|
|
|
+ 203, 203, 203, 203, 215, 219, 220, 221, 208, 208, 208, 208, 218, 222, 223, 224,
|
|
|
+ 203, 203, 203, 203, 221, 225, 226, 204, 208, 208, 208, 208, 224, 227, 228, 209,
|
|
|
+ 209, 210, 211, 212, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240,
|
|
|
+ 212, 216, 217, 218, 232, 241, 242, 243, 236, 244, 245, 246, 240, 247, 248, 249,
|
|
|
+ 218, 222, 223, 224, 243, 250, 251, 252, 246, 253, 254, 255, 249, 256, 257, 258,
|
|
|
+ 224, 227, 228, 209, 252, 259, 260, 229, 255, 261, 262, 233, 258, 263, 264, 237,
|
|
|
+ /*bottom*/
|
|
|
+ 265, 265, 265, 265, 266, 267, 268, 269, 270, 271, 272, 273, 92, 119, 118, 113,
|
|
|
+ 265, 265, 265, 265, 269, 274, 275, 276, 273, 277, 278, 279, 113, 112, 111, 104,
|
|
|
+ 265, 265, 265, 265, 276, 280, 281, 282, 279, 283, 284, 285, 104, 103, 102, 95,
|
|
|
+ 265, 265, 265, 265, 282, 286, 287, 266, 285, 288, 289, 270, 95, 94, 93, 92
|
|
|
+ ];
|
|
|
+
|
|
|
+ var teapotVertices = [
|
|
|
+ 1.4, 0, 2.4,
|
|
|
+ 1.4, - 0.784, 2.4,
|
|
|
+ 0.784, - 1.4, 2.4,
|
|
|
+ 0, - 1.4, 2.4,
|
|
|
+ 1.3375, 0, 2.53125,
|
|
|
+ 1.3375, - 0.749, 2.53125,
|
|
|
+ 0.749, - 1.3375, 2.53125,
|
|
|
+ 0, - 1.3375, 2.53125,
|
|
|
+ 1.4375, 0, 2.53125,
|
|
|
+ 1.4375, - 0.805, 2.53125,
|
|
|
+ 0.805, - 1.4375, 2.53125,
|
|
|
+ 0, - 1.4375, 2.53125,
|
|
|
+ 1.5, 0, 2.4,
|
|
|
+ 1.5, - 0.84, 2.4,
|
|
|
+ 0.84, - 1.5, 2.4,
|
|
|
+ 0, - 1.5, 2.4,
|
|
|
+ - 0.784, - 1.4, 2.4,
|
|
|
+ - 1.4, - 0.784, 2.4,
|
|
|
+ - 1.4, 0, 2.4,
|
|
|
+ - 0.749, - 1.3375, 2.53125,
|
|
|
+ - 1.3375, - 0.749, 2.53125,
|
|
|
+ - 1.3375, 0, 2.53125,
|
|
|
+ - 0.805, - 1.4375, 2.53125,
|
|
|
+ - 1.4375, - 0.805, 2.53125,
|
|
|
+ - 1.4375, 0, 2.53125,
|
|
|
+ - 0.84, - 1.5, 2.4,
|
|
|
+ - 1.5, - 0.84, 2.4,
|
|
|
+ - 1.5, 0, 2.4,
|
|
|
+ - 1.4, 0.784, 2.4,
|
|
|
+ - 0.784, 1.4, 2.4,
|
|
|
+ 0, 1.4, 2.4,
|
|
|
+ - 1.3375, 0.749, 2.53125,
|
|
|
+ - 0.749, 1.3375, 2.53125,
|
|
|
+ 0, 1.3375, 2.53125,
|
|
|
+ - 1.4375, 0.805, 2.53125,
|
|
|
+ - 0.805, 1.4375, 2.53125,
|
|
|
+ 0, 1.4375, 2.53125,
|
|
|
+ - 1.5, 0.84, 2.4,
|
|
|
+ - 0.84, 1.5, 2.4,
|
|
|
+ 0, 1.5, 2.4,
|
|
|
+ 0.784, 1.4, 2.4,
|
|
|
+ 1.4, 0.784, 2.4,
|
|
|
+ 0.749, 1.3375, 2.53125,
|
|
|
+ 1.3375, 0.749, 2.53125,
|
|
|
+ 0.805, 1.4375, 2.53125,
|
|
|
+ 1.4375, 0.805, 2.53125,
|
|
|
+ 0.84, 1.5, 2.4,
|
|
|
+ 1.5, 0.84, 2.4,
|
|
|
+ 1.75, 0, 1.875,
|
|
|
+ 1.75, - 0.98, 1.875,
|
|
|
+ 0.98, - 1.75, 1.875,
|
|
|
+ 0, - 1.75, 1.875,
|
|
|
+ 2, 0, 1.35,
|
|
|
+ 2, - 1.12, 1.35,
|
|
|
+ 1.12, - 2, 1.35,
|
|
|
+ 0, - 2, 1.35,
|
|
|
+ 2, 0, 0.9,
|
|
|
+ 2, - 1.12, 0.9,
|
|
|
+ 1.12, - 2, 0.9,
|
|
|
+ 0, - 2, 0.9,
|
|
|
+ - 0.98, - 1.75, 1.875,
|
|
|
+ - 1.75, - 0.98, 1.875,
|
|
|
+ - 1.75, 0, 1.875,
|
|
|
+ - 1.12, - 2, 1.35,
|
|
|
+ - 2, - 1.12, 1.35,
|
|
|
+ - 2, 0, 1.35,
|
|
|
+ - 1.12, - 2, 0.9,
|
|
|
+ - 2, - 1.12, 0.9,
|
|
|
+ - 2, 0, 0.9,
|
|
|
+ - 1.75, 0.98, 1.875,
|
|
|
+ - 0.98, 1.75, 1.875,
|
|
|
+ 0, 1.75, 1.875,
|
|
|
+ - 2, 1.12, 1.35,
|
|
|
+ - 1.12, 2, 1.35,
|
|
|
+ 0, 2, 1.35,
|
|
|
+ - 2, 1.12, 0.9,
|
|
|
+ - 1.12, 2, 0.9,
|
|
|
+ 0, 2, 0.9,
|
|
|
+ 0.98, 1.75, 1.875,
|
|
|
+ 1.75, 0.98, 1.875,
|
|
|
+ 1.12, 2, 1.35,
|
|
|
+ 2, 1.12, 1.35,
|
|
|
+ 1.12, 2, 0.9,
|
|
|
+ 2, 1.12, 0.9,
|
|
|
+ 2, 0, 0.45,
|
|
|
+ 2, - 1.12, 0.45,
|
|
|
+ 1.12, - 2, 0.45,
|
|
|
+ 0, - 2, 0.45,
|
|
|
+ 1.5, 0, 0.225,
|
|
|
+ 1.5, - 0.84, 0.225,
|
|
|
+ 0.84, - 1.5, 0.225,
|
|
|
+ 0, - 1.5, 0.225,
|
|
|
+ 1.5, 0, 0.15,
|
|
|
+ 1.5, - 0.84, 0.15,
|
|
|
+ 0.84, - 1.5, 0.15,
|
|
|
+ 0, - 1.5, 0.15,
|
|
|
+ - 1.12, - 2, 0.45,
|
|
|
+ - 2, - 1.12, 0.45,
|
|
|
+ - 2, 0, 0.45,
|
|
|
+ - 0.84, - 1.5, 0.225,
|
|
|
+ - 1.5, - 0.84, 0.225,
|
|
|
+ - 1.5, 0, 0.225,
|
|
|
+ - 0.84, - 1.5, 0.15,
|
|
|
+ - 1.5, - 0.84, 0.15,
|
|
|
+ - 1.5, 0, 0.15,
|
|
|
+ - 2, 1.12, 0.45,
|
|
|
+ - 1.12, 2, 0.45,
|
|
|
+ 0, 2, 0.45,
|
|
|
+ - 1.5, 0.84, 0.225,
|
|
|
+ - 0.84, 1.5, 0.225,
|
|
|
+ 0, 1.5, 0.225,
|
|
|
+ - 1.5, 0.84, 0.15,
|
|
|
+ - 0.84, 1.5, 0.15,
|
|
|
+ 0, 1.5, 0.15,
|
|
|
+ 1.12, 2, 0.45,
|
|
|
+ 2, 1.12, 0.45,
|
|
|
+ 0.84, 1.5, 0.225,
|
|
|
+ 1.5, 0.84, 0.225,
|
|
|
+ 0.84, 1.5, 0.15,
|
|
|
+ 1.5, 0.84, 0.15,
|
|
|
+ - 1.6, 0, 2.025,
|
|
|
+ - 1.6, - 0.3, 2.025,
|
|
|
+ - 1.5, - 0.3, 2.25,
|
|
|
+ - 1.5, 0, 2.25,
|
|
|
+ - 2.3, 0, 2.025,
|
|
|
+ - 2.3, - 0.3, 2.025,
|
|
|
+ - 2.5, - 0.3, 2.25,
|
|
|
+ - 2.5, 0, 2.25,
|
|
|
+ - 2.7, 0, 2.025,
|
|
|
+ - 2.7, - 0.3, 2.025,
|
|
|
+ - 3, - 0.3, 2.25,
|
|
|
+ - 3, 0, 2.25,
|
|
|
+ - 2.7, 0, 1.8,
|
|
|
+ - 2.7, - 0.3, 1.8,
|
|
|
+ - 3, - 0.3, 1.8,
|
|
|
+ - 3, 0, 1.8,
|
|
|
+ - 1.5, 0.3, 2.25,
|
|
|
+ - 1.6, 0.3, 2.025,
|
|
|
+ - 2.5, 0.3, 2.25,
|
|
|
+ - 2.3, 0.3, 2.025,
|
|
|
+ - 3, 0.3, 2.25,
|
|
|
+ - 2.7, 0.3, 2.025,
|
|
|
+ - 3, 0.3, 1.8,
|
|
|
+ - 2.7, 0.3, 1.8,
|
|
|
+ - 2.7, 0, 1.575,
|
|
|
+ - 2.7, - 0.3, 1.575,
|
|
|
+ - 3, - 0.3, 1.35,
|
|
|
+ - 3, 0, 1.35,
|
|
|
+ - 2.5, 0, 1.125,
|
|
|
+ - 2.5, - 0.3, 1.125,
|
|
|
+ - 2.65, - 0.3, 0.9375,
|
|
|
+ - 2.65, 0, 0.9375,
|
|
|
+ - 2, - 0.3, 0.9,
|
|
|
+ - 1.9, - 0.3, 0.6,
|
|
|
+ - 1.9, 0, 0.6,
|
|
|
+ - 3, 0.3, 1.35,
|
|
|
+ - 2.7, 0.3, 1.575,
|
|
|
+ - 2.65, 0.3, 0.9375,
|
|
|
+ - 2.5, 0.3, 1.125,
|
|
|
+ - 1.9, 0.3, 0.6,
|
|
|
+ - 2, 0.3, 0.9,
|
|
|
+ 1.7, 0, 1.425,
|
|
|
+ 1.7, - 0.66, 1.425,
|
|
|
+ 1.7, - 0.66, 0.6,
|
|
|
+ 1.7, 0, 0.6,
|
|
|
+ 2.6, 0, 1.425,
|
|
|
+ 2.6, - 0.66, 1.425,
|
|
|
+ 3.1, - 0.66, 0.825,
|
|
|
+ 3.1, 0, 0.825,
|
|
|
+ 2.3, 0, 2.1,
|
|
|
+ 2.3, - 0.25, 2.1,
|
|
|
+ 2.4, - 0.25, 2.025,
|
|
|
+ 2.4, 0, 2.025,
|
|
|
+ 2.7, 0, 2.4,
|
|
|
+ 2.7, - 0.25, 2.4,
|
|
|
+ 3.3, - 0.25, 2.4,
|
|
|
+ 3.3, 0, 2.4,
|
|
|
+ 1.7, 0.66, 0.6,
|
|
|
+ 1.7, 0.66, 1.425,
|
|
|
+ 3.1, 0.66, 0.825,
|
|
|
+ 2.6, 0.66, 1.425,
|
|
|
+ 2.4, 0.25, 2.025,
|
|
|
+ 2.3, 0.25, 2.1,
|
|
|
+ 3.3, 0.25, 2.4,
|
|
|
+ 2.7, 0.25, 2.4,
|
|
|
+ 2.8, 0, 2.475,
|
|
|
+ 2.8, - 0.25, 2.475,
|
|
|
+ 3.525, - 0.25, 2.49375,
|
|
|
+ 3.525, 0, 2.49375,
|
|
|
+ 2.9, 0, 2.475,
|
|
|
+ 2.9, - 0.15, 2.475,
|
|
|
+ 3.45, - 0.15, 2.5125,
|
|
|
+ 3.45, 0, 2.5125,
|
|
|
+ 2.8, 0, 2.4,
|
|
|
+ 2.8, - 0.15, 2.4,
|
|
|
+ 3.2, - 0.15, 2.4,
|
|
|
+ 3.2, 0, 2.4,
|
|
|
+ 3.525, 0.25, 2.49375,
|
|
|
+ 2.8, 0.25, 2.475,
|
|
|
+ 3.45, 0.15, 2.5125,
|
|
|
+ 2.9, 0.15, 2.475,
|
|
|
+ 3.2, 0.15, 2.4,
|
|
|
+ 2.8, 0.15, 2.4,
|
|
|
+ 0, 0, 3.15,
|
|
|
+ 0.8, 0, 3.15,
|
|
|
+ 0.8, - 0.45, 3.15,
|
|
|
+ 0.45, - 0.8, 3.15,
|
|
|
+ 0, - 0.8, 3.15,
|
|
|
+ 0, 0, 2.85,
|
|
|
+ 0.2, 0, 2.7,
|
|
|
+ 0.2, - 0.112, 2.7,
|
|
|
+ 0.112, - 0.2, 2.7,
|
|
|
+ 0, - 0.2, 2.7,
|
|
|
+ - 0.45, - 0.8, 3.15,
|
|
|
+ - 0.8, - 0.45, 3.15,
|
|
|
+ - 0.8, 0, 3.15,
|
|
|
+ - 0.112, - 0.2, 2.7,
|
|
|
+ - 0.2, - 0.112, 2.7,
|
|
|
+ - 0.2, 0, 2.7,
|
|
|
+ - 0.8, 0.45, 3.15,
|
|
|
+ - 0.45, 0.8, 3.15,
|
|
|
+ 0, 0.8, 3.15,
|
|
|
+ - 0.2, 0.112, 2.7,
|
|
|
+ - 0.112, 0.2, 2.7,
|
|
|
+ 0, 0.2, 2.7,
|
|
|
+ 0.45, 0.8, 3.15,
|
|
|
+ 0.8, 0.45, 3.15,
|
|
|
+ 0.112, 0.2, 2.7,
|
|
|
+ 0.2, 0.112, 2.7,
|
|
|
+ 0.4, 0, 2.55,
|
|
|
+ 0.4, - 0.224, 2.55,
|
|
|
+ 0.224, - 0.4, 2.55,
|
|
|
+ 0, - 0.4, 2.55,
|
|
|
+ 1.3, 0, 2.55,
|
|
|
+ 1.3, - 0.728, 2.55,
|
|
|
+ 0.728, - 1.3, 2.55,
|
|
|
+ 0, - 1.3, 2.55,
|
|
|
+ 1.3, 0, 2.4,
|
|
|
+ 1.3, - 0.728, 2.4,
|
|
|
+ 0.728, - 1.3, 2.4,
|
|
|
+ 0, - 1.3, 2.4,
|
|
|
+ - 0.224, - 0.4, 2.55,
|
|
|
+ - 0.4, - 0.224, 2.55,
|
|
|
+ - 0.4, 0, 2.55,
|
|
|
+ - 0.728, - 1.3, 2.55,
|
|
|
+ - 1.3, - 0.728, 2.55,
|
|
|
+ - 1.3, 0, 2.55,
|
|
|
+ - 0.728, - 1.3, 2.4,
|
|
|
+ - 1.3, - 0.728, 2.4,
|
|
|
+ - 1.3, 0, 2.4,
|
|
|
+ - 0.4, 0.224, 2.55,
|
|
|
+ - 0.224, 0.4, 2.55,
|
|
|
+ 0, 0.4, 2.55,
|
|
|
+ - 1.3, 0.728, 2.55,
|
|
|
+ - 0.728, 1.3, 2.55,
|
|
|
+ 0, 1.3, 2.55,
|
|
|
+ - 1.3, 0.728, 2.4,
|
|
|
+ - 0.728, 1.3, 2.4,
|
|
|
+ 0, 1.3, 2.4,
|
|
|
+ 0.224, 0.4, 2.55,
|
|
|
+ 0.4, 0.224, 2.55,
|
|
|
+ 0.728, 1.3, 2.55,
|
|
|
+ 1.3, 0.728, 2.55,
|
|
|
+ 0.728, 1.3, 2.4,
|
|
|
+ 1.3, 0.728, 2.4,
|
|
|
+ 0, 0, 0,
|
|
|
+ 1.425, 0, 0,
|
|
|
+ 1.425, 0.798, 0,
|
|
|
+ 0.798, 1.425, 0,
|
|
|
+ 0, 1.425, 0,
|
|
|
+ 1.5, 0, 0.075,
|
|
|
+ 1.5, 0.84, 0.075,
|
|
|
+ 0.84, 1.5, 0.075,
|
|
|
+ 0, 1.5, 0.075,
|
|
|
+ - 0.798, 1.425, 0,
|
|
|
+ - 1.425, 0.798, 0,
|
|
|
+ - 1.425, 0, 0,
|
|
|
+ - 0.84, 1.5, 0.075,
|
|
|
+ - 1.5, 0.84, 0.075,
|
|
|
+ - 1.5, 0, 0.075,
|
|
|
+ - 1.425, - 0.798, 0,
|
|
|
+ - 0.798, - 1.425, 0,
|
|
|
+ 0, - 1.425, 0,
|
|
|
+ - 1.5, - 0.84, 0.075,
|
|
|
+ - 0.84, - 1.5, 0.075,
|
|
|
+ 0, - 1.5, 0.075,
|
|
|
+ 0.798, - 1.425, 0,
|
|
|
+ 1.425, - 0.798, 0,
|
|
|
+ 0.84, - 1.5, 0.075,
|
|
|
+ 1.5, - 0.84, 0.075
|
|
|
+ ];
|
|
|
+
|
|
|
+ BufferGeometry.call( this );
|
|
|
+
|
|
|
+ size = size || 50;
|
|
|
+
|
|
|
+ // number of segments per patch
|
|
|
+ segments = segments !== undefined ? Math.max( 2, Math.floor( segments ) || 10 ) : 10;
|
|
|
+
|
|
|
+ // which parts should be visible
|
|
|
+ bottom = bottom === undefined ? true : bottom;
|
|
|
+ lid = lid === undefined ? true : lid;
|
|
|
+ body = body === undefined ? true : body;
|
|
|
+
|
|
|
+ // Should the lid be snug? It's not traditional, but we make it snug by default
|
|
|
+ fitLid = fitLid === undefined ? true : fitLid;
|
|
|
+
|
|
|
+ // Jim Blinn scaled the teapot down in size by about 1.3 for
|
|
|
+ // some rendering tests. He liked the new proportions that he kept
|
|
|
+ // the data in this form. The model was distributed with these new
|
|
|
+ // proportions and became the norm. Trivia: comparing images of the
|
|
|
+ // real teapot and the computer model, the ratio for the bowl of the
|
|
|
+ // real teapot is more like 1.25, but since 1.3 is the traditional
|
|
|
+ // value given, we use it here.
|
|
|
+ var blinnScale = 1.3;
|
|
|
+ blinn = blinn === undefined ? true : blinn;
|
|
|
+
|
|
|
+ // scale the size to be the real scaling factor
|
|
|
+ var maxHeight = 3.15 * ( blinn ? 1 : blinnScale );
|
|
|
+
|
|
|
+ var maxHeight2 = maxHeight / 2;
|
|
|
+ var trueSize = size / maxHeight2;
|
|
|
+
|
|
|
+ // Number of elements depends on what is needed. Subtract degenerate
|
|
|
+ // triangles at tip of bottom and lid out in advance.
|
|
|
+ var numTriangles = bottom ? ( 8 * segments - 4 ) * segments : 0;
|
|
|
+ numTriangles += lid ? ( 16 * segments - 4 ) * segments : 0;
|
|
|
+ numTriangles += body ? 40 * segments * segments : 0;
|
|
|
+
|
|
|
+ var indices = new Uint32Array( numTriangles * 3 );
|
|
|
+
|
|
|
+ var numVertices = bottom ? 4 : 0;
|
|
|
+ numVertices += lid ? 8 : 0;
|
|
|
+ numVertices += body ? 20 : 0;
|
|
|
+ numVertices *= ( segments + 1 ) * ( segments + 1 );
|
|
|
+
|
|
|
+ var vertices = new Float32Array( numVertices * 3 );
|
|
|
+ var normals = new Float32Array( numVertices * 3 );
|
|
|
+ var uvs = new Float32Array( numVertices * 2 );
|
|
|
+
|
|
|
+ // Bezier form
|
|
|
+ var ms = new Matrix4();
|
|
|
+ ms.set(
|
|
|
+ - 1.0, 3.0, - 3.0, 1.0,
|
|
|
+ 3.0, - 6.0, 3.0, 0.0,
|
|
|
+ - 3.0, 3.0, 0.0, 0.0,
|
|
|
+ 1.0, 0.0, 0.0, 0.0 );
|
|
|
+
|
|
|
+ var g = [];
|
|
|
+ var i, r, c;
|
|
|
+
|
|
|
+ var sp = [];
|
|
|
+ var tp = [];
|
|
|
+ var dsp = [];
|
|
|
+ var dtp = [];
|
|
|
+
|
|
|
+ // M * G * M matrix, sort of see
|
|
|
+ // http://www.cs.helsinki.fi/group/goa/mallinnus/curves/surfaces.html
|
|
|
+ var mgm = [];
|
|
|
+
|
|
|
+ var vert = [];
|
|
|
+ var sdir = [];
|
|
|
+ var tdir = [];
|
|
|
+
|
|
|
+ var norm = new Vector3();
|
|
|
+
|
|
|
+ var tcoord;
|
|
|
+
|
|
|
+ var sstep, tstep;
|
|
|
+ var vertPerRow;
|
|
|
+
|
|
|
+ var s, t, sval, tval, p;
|
|
|
+ var dsval = 0;
|
|
|
+ var dtval = 0;
|
|
|
+
|
|
|
+ var normOut = new Vector3();
|
|
|
+ var v1, v2, v3, v4;
|
|
|
+
|
|
|
+ var gmx = new Matrix4();
|
|
|
+ var tmtx = new Matrix4();
|
|
|
+
|
|
|
+ var vsp = new Vector4();
|
|
|
+ var vtp = new Vector4();
|
|
|
+ var vdsp = new Vector4();
|
|
|
+ var vdtp = new Vector4();
|
|
|
+
|
|
|
+ var vsdir = new Vector3();
|
|
|
+ var vtdir = new Vector3();
|
|
|
+
|
|
|
+ var mst = ms.clone();
|
|
|
+ mst.transpose();
|
|
|
+
|
|
|
+ // internal function: test if triangle has any matching vertices;
|
|
|
+ // if so, don't save triangle, since it won't display anything.
|
|
|
+ var notDegenerate = function ( vtx1, vtx2, vtx3 ) {
|
|
|
+
|
|
|
+ // if any vertex matches, return false
|
|
|
+ return ! ( ( ( vertices[ vtx1 * 3 ] === vertices[ vtx2 * 3 ] ) &&
|
|
|
+ ( vertices[ vtx1 * 3 + 1 ] === vertices[ vtx2 * 3 + 1 ] ) &&
|
|
|
+ ( vertices[ vtx1 * 3 + 2 ] === vertices[ vtx2 * 3 + 2 ] ) ) ||
|
|
|
+ ( ( vertices[ vtx1 * 3 ] === vertices[ vtx3 * 3 ] ) &&
|
|
|
+ ( vertices[ vtx1 * 3 + 1 ] === vertices[ vtx3 * 3 + 1 ] ) &&
|
|
|
+ ( vertices[ vtx1 * 3 + 2 ] === vertices[ vtx3 * 3 + 2 ] ) ) ||
|
|
|
+ ( ( vertices[ vtx2 * 3 ] === vertices[ vtx3 * 3 ] ) &&
|
|
|
+ ( vertices[ vtx2 * 3 + 1 ] === vertices[ vtx3 * 3 + 1 ] ) &&
|
|
|
+ ( vertices[ vtx2 * 3 + 2 ] === vertices[ vtx3 * 3 + 2 ] ) ) );
|
|
|
+
|
|
|
+ };
|
|
|
+
|
|
|
+
|
|
|
+ for ( i = 0; i < 3; i ++ ) {
|
|
|
+
|
|
|
+ mgm[ i ] = new Matrix4();
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ var minPatches = body ? 0 : 20;
|
|
|
+ var maxPatches = bottom ? 32 : 28;
|
|
|
+
|
|
|
+ vertPerRow = segments + 1;
|
|
|
+
|
|
|
+ var surfCount = 0;
|
|
|
+
|
|
|
+ var vertCount = 0;
|
|
|
+ var normCount = 0;
|
|
|
+ var uvCount = 0;
|
|
|
+
|
|
|
+ var indexCount = 0;
|
|
|
+
|
|
|
+ for ( var surf = minPatches; surf < maxPatches; surf ++ ) {
|
|
|
+
|
|
|
+ // lid is in the middle of the data, patches 20-27,
|
|
|
+ // so ignore it for this part of the loop if the lid is not desired
|
|
|
+ if ( lid || ( surf < 20 || surf >= 28 ) ) {
|
|
|
+
|
|
|
+ // get M * G * M matrix for x,y,z
|
|
|
+ for ( i = 0; i < 3; i ++ ) {
|
|
|
+
|
|
|
+ // get control patches
|
|
|
+ for ( r = 0; r < 4; r ++ ) {
|
|
|
+
|
|
|
+ for ( c = 0; c < 4; c ++ ) {
|
|
|
+
|
|
|
+ // transposed
|
|
|
+ g[ c * 4 + r ] = teapotVertices[ teapotPatches[ surf * 16 + r * 4 + c ] * 3 + i ];
|
|
|
+
|
|
|
+ // is the lid to be made larger, and is this a point on the lid
|
|
|
+ // that is X or Y?
|
|
|
+ if ( fitLid && ( surf >= 20 && surf < 28 ) && ( i !== 2 ) ) {
|
|
|
+
|
|
|
+ // increase XY size by 7.7%, found empirically. I don't
|
|
|
+ // increase Z so that the teapot will continue to fit in the
|
|
|
+ // space -1 to 1 for Y (Y is up for the final model).
|
|
|
+ g[ c * 4 + r ] *= 1.077;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ // Blinn "fixed" the teapot by dividing Z by blinnScale, and that's the
|
|
|
+ // data we now use. The original teapot is taller. Fix it:
|
|
|
+ if ( ! blinn && ( i === 2 ) ) {
|
|
|
+
|
|
|
+ g[ c * 4 + r ] *= blinnScale;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ gmx.set( g[ 0 ], g[ 1 ], g[ 2 ], g[ 3 ], g[ 4 ], g[ 5 ], g[ 6 ], g[ 7 ], g[ 8 ], g[ 9 ], g[ 10 ], g[ 11 ], g[ 12 ], g[ 13 ], g[ 14 ], g[ 15 ] );
|
|
|
+
|
|
|
+ tmtx.multiplyMatrices( gmx, ms );
|
|
|
+ mgm[ i ].multiplyMatrices( mst, tmtx );
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ // step along, get points, and output
|
|
|
+ for ( sstep = 0; sstep <= segments; sstep ++ ) {
|
|
|
+
|
|
|
+ s = sstep / segments;
|
|
|
+
|
|
|
+ for ( tstep = 0; tstep <= segments; tstep ++ ) {
|
|
|
+
|
|
|
+ t = tstep / segments;
|
|
|
+
|
|
|
+ // point from basis
|
|
|
+ // get power vectors and their derivatives
|
|
|
+ for ( p = 4, sval = tval = 1.0; p --; ) {
|
|
|
+
|
|
|
+ sp[ p ] = sval;
|
|
|
+ tp[ p ] = tval;
|
|
|
+ sval *= s;
|
|
|
+ tval *= t;
|
|
|
+
|
|
|
+ if ( p === 3 ) {
|
|
|
+
|
|
|
+ dsp[ p ] = dtp[ p ] = 0.0;
|
|
|
+ dsval = dtval = 1.0;
|
|
|
+
|
|
|
+ } else {
|
|
|
+
|
|
|
+ dsp[ p ] = dsval * ( 3 - p );
|
|
|
+ dtp[ p ] = dtval * ( 3 - p );
|
|
|
+ dsval *= s;
|
|
|
+ dtval *= t;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ vsp.fromArray( sp );
|
|
|
+ vtp.fromArray( tp );
|
|
|
+ vdsp.fromArray( dsp );
|
|
|
+ vdtp.fromArray( dtp );
|
|
|
+
|
|
|
+ // do for x,y,z
|
|
|
+ for ( i = 0; i < 3; i ++ ) {
|
|
|
+
|
|
|
+ // multiply power vectors times matrix to get value
|
|
|
+ tcoord = vsp.clone();
|
|
|
+ tcoord.applyMatrix4( mgm[ i ] );
|
|
|
+ vert[ i ] = tcoord.dot( vtp );
|
|
|
+
|
|
|
+ // get s and t tangent vectors
|
|
|
+ tcoord = vdsp.clone();
|
|
|
+ tcoord.applyMatrix4( mgm[ i ] );
|
|
|
+ sdir[ i ] = tcoord.dot( vtp );
|
|
|
+
|
|
|
+ tcoord = vsp.clone();
|
|
|
+ tcoord.applyMatrix4( mgm[ i ] );
|
|
|
+ tdir[ i ] = tcoord.dot( vdtp );
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ // find normal
|
|
|
+ vsdir.fromArray( sdir );
|
|
|
+ vtdir.fromArray( tdir );
|
|
|
+ norm.crossVectors( vtdir, vsdir );
|
|
|
+ norm.normalize();
|
|
|
+
|
|
|
+ // if X and Z length is 0, at the cusp, so point the normal up or down, depending on patch number
|
|
|
+ if ( vert[ 0 ] === 0 && vert[ 1 ] === 0 ) {
|
|
|
+
|
|
|
+ // if above the middle of the teapot, normal points up, else down
|
|
|
+ normOut.set( 0, vert[ 2 ] > maxHeight2 ? 1 : - 1, 0 );
|
|
|
+
|
|
|
+ } else {
|
|
|
+
|
|
|
+ // standard output: rotate on X axis
|
|
|
+ normOut.set( norm.x, norm.z, - norm.y );
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ // store it all
|
|
|
+ vertices[ vertCount ++ ] = trueSize * vert[ 0 ];
|
|
|
+ vertices[ vertCount ++ ] = trueSize * ( vert[ 2 ] - maxHeight2 );
|
|
|
+ vertices[ vertCount ++ ] = - trueSize * vert[ 1 ];
|
|
|
+
|
|
|
+ normals[ normCount ++ ] = normOut.x;
|
|
|
+ normals[ normCount ++ ] = normOut.y;
|
|
|
+ normals[ normCount ++ ] = normOut.z;
|
|
|
+
|
|
|
+ uvs[ uvCount ++ ] = 1 - t;
|
|
|
+ uvs[ uvCount ++ ] = 1 - s;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ // save the faces
|
|
|
+ for ( sstep = 0; sstep < segments; sstep ++ ) {
|
|
|
+
|
|
|
+ for ( tstep = 0; tstep < segments; tstep ++ ) {
|
|
|
+
|
|
|
+ v1 = surfCount * vertPerRow * vertPerRow + sstep * vertPerRow + tstep;
|
|
|
+ v2 = v1 + 1;
|
|
|
+ v3 = v2 + vertPerRow;
|
|
|
+ v4 = v1 + vertPerRow;
|
|
|
+
|
|
|
+ // Normals and UVs cannot be shared. Without clone(), you can see the consequences
|
|
|
+ // of sharing if you call geometry.applyMatrix( matrix ).
|
|
|
+ if ( notDegenerate( v1, v2, v3 ) ) {
|
|
|
+
|
|
|
+ indices[ indexCount ++ ] = v1;
|
|
|
+ indices[ indexCount ++ ] = v2;
|
|
|
+ indices[ indexCount ++ ] = v3;
|
|
|
+
|
|
|
+ }
|
|
|
+ if ( notDegenerate( v1, v3, v4 ) ) {
|
|
|
+
|
|
|
+ indices[ indexCount ++ ] = v1;
|
|
|
+ indices[ indexCount ++ ] = v3;
|
|
|
+ indices[ indexCount ++ ] = v4;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ // increment only if a surface was used
|
|
|
+ surfCount ++;
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ }
|
|
|
+
|
|
|
+ this.setIndex( new BufferAttribute( indices, 1 ) );
|
|
|
+ this.addAttribute( 'position', new BufferAttribute( vertices, 3 ) );
|
|
|
+ this.addAttribute( 'normal', new BufferAttribute( normals, 3 ) );
|
|
|
+ this.addAttribute( 'uv', new BufferAttribute( uvs, 2 ) );
|
|
|
+
|
|
|
+ this.computeBoundingSphere();
|
|
|
+
|
|
|
+};
|
|
|
+
|
|
|
+
|
|
|
+TeapotBufferGeometry.prototype = Object.create( BufferGeometry.prototype );
|
|
|
+TeapotBufferGeometry.prototype.constructor = TeapotBufferGeometry;
|
|
|
+
|
|
|
+export { TeapotBufferGeometry };
|