1 /**
  2  * @author clockworkgeek / https://github.com/clockworkgeek
  3  * @author timothypratley / https://github.com/timothypratley
  4  */
  5 
  6 /**@constructor*/
  7 THREE.PolyhedronGeometry = function ( vertices, faces, radius, detail ) {
  8 
  9 	THREE.Geometry.call( this );
 10 
 11 	radius = radius || 1;
 12 	detail = detail || 0;
 13 
 14 	var that = this;
 15 
 16 	for ( var i = 0, l = vertices.length; i < l; i ++ ) {
 17 
 18 		prepare( new THREE.Vector3( vertices[ i ][ 0 ], vertices[ i ][ 1 ], vertices[ i ][ 2 ] ) );
 19 
 20 	}
 21 
 22 	var midpoints = [], p = this.vertices;
 23 
 24 	for ( var i = 0, l = faces.length; i < l; i ++ ) {
 25 
 26 		make( p[ faces[ i ][ 0 ] ], p[ faces[ i ][ 1 ] ], p[ faces[ i ][ 2 ] ], detail );
 27 
 28 	}
 29 
 30 	this.mergeVertices();
 31 
 32 	// Apply radius
 33 
 34 	for ( var i = 0, l = this.vertices.length; i < l; i ++ ) {
 35 
 36 		this.vertices[ i ].multiplyScalar( radius );
 37 
 38 	}
 39 
 40 
 41 	// Project vector onto sphere's surface
 42 
 43 	function prepare( vector ) {
 44 
 45 		var vertex = vector.normalize().clone();
 46 		vertex.index = that.vertices.push( vertex ) - 1;
 47 
 48 		// Texture coords are equivalent to map coords, calculate angle and convert to fraction of a circle.
 49 
 50 		var u = azimuth( vector ) / 2 / Math.PI + 0.5;
 51 		var v = inclination( vector ) / Math.PI + 0.5;
 52 		vertex.uv = new THREE.UV( u, 1 - v );
 53 
 54 		return vertex;
 55 
 56 	}
 57 
 58 
 59 	// Approximate a curved face with recursively sub-divided triangles.
 60 
 61 	function make( v1, v2, v3, detail ) {
 62 
 63 		if ( detail < 1 ) {
 64 
 65 			var face = new THREE.Face3( v1.index, v2.index, v3.index, [ v1.clone(), v2.clone(), v3.clone() ] );
 66 			face.centroid.addSelf( v1 ).addSelf( v2 ).addSelf( v3 ).divideScalar( 3 );
 67 			face.normal = face.centroid.clone().normalize();
 68 			that.faces.push( face );
 69 
 70 			var azi = azimuth( face.centroid );
 71 			that.faceVertexUvs[ 0 ].push( [
 72 				correctUV( v1.uv, v1, azi ),
 73 				correctUV( v2.uv, v2, azi ),
 74 				correctUV( v3.uv, v3, azi )
 75 			] );
 76 
 77 		} else {
 78 
 79 			detail -= 1;
 80 
 81 			// split triangle into 4 smaller triangles
 82 
 83 			make( v1, midpoint( v1, v2 ), midpoint( v1, v3 ), detail ); // top quadrant
 84 			make( midpoint( v1, v2 ), v2, midpoint( v2, v3 ), detail ); // left quadrant
 85 			make( midpoint( v1, v3 ), midpoint( v2, v3 ), v3, detail ); // right quadrant
 86 			make( midpoint( v1, v2 ), midpoint( v2, v3 ), midpoint( v1, v3 ), detail ); // center quadrant
 87 
 88 		}
 89 
 90 	}
 91 
 92 	function midpoint( v1, v2 ) {
 93 
 94 		if ( !midpoints[ v1.index ] ) midpoints[ v1.index ] = [];
 95 		if ( !midpoints[ v2.index ] ) midpoints[ v2.index ] = [];
 96 
 97 		var mid = midpoints[ v1.index ][ v2.index ];
 98 
 99 		if ( mid === undefined ) {
100 
101 			// generate mean point and project to surface with prepare()
102 
103 			midpoints[ v1.index ][ v2.index ] = midpoints[ v2.index ][ v1.index ] = mid = prepare(
104 				new THREE.Vector3().add( v1, v2 ).divideScalar( 2 )
105 			);
106 		}
107 
108 		return mid;
109 
110 	}
111 
112 
113 	// Angle around the Y axis, counter-clockwise when looking from above.
114 
115 	function azimuth( vector ) {
116 
117 		return Math.atan2( vector.z, -vector.x );
118 
119 	}
120 
121 
122 	// Angle above the XZ plane.
123 
124 	function inclination( vector ) {
125 
126 		return Math.atan2( -vector.y, Math.sqrt( ( vector.x * vector.x ) + ( vector.z * vector.z ) ) );
127 
128 	}
129 
130 
131 	// Texture fixing helper. Spheres have some odd behaviours.
132 
133 	function correctUV( uv, vector, azimuth ) {
134 
135 		if ( ( azimuth < 0 ) && ( uv.u === 1 ) ) uv = new THREE.UV( uv.u - 1, uv.v );
136 		if ( ( vector.x === 0 ) && ( vector.z === 0 ) ) uv = new THREE.UV( azimuth / 2 / Math.PI + 0.5, uv.v );
137 		return uv;
138 
139 	}
140 
141 	this.computeCentroids();
142 
143 	this.boundingSphere = { radius: radius };
144 
145 };
146 
147 THREE.PolyhedronGeometry.prototype = Object.create( THREE.Geometry.prototype );
148 

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