Texture shape extrude in three.js

问题

I'm trying to texture an extruded shape in Three.js. In the following code I create a curved shape, extrude the shape, then create a mesh with the geometry and a material I've loaded from a Jpg file. The wireframe displays but the texture does not. The texture is 512*512px in size.

Am I using the correct approach? Do I need to manually UV map the texture? I'd like the texture to wrap to the entire extruded face instead of each individual quad.

var x = -50, y = 20, z = 150;
var rx = 0, ry = Math.PI/4, rz = 0;
var scale = 1;
var color = 0x00ff00;

var shape = new THREE.Shape();

shape.moveTo( x, y );
shape.quadraticCurveTo(x+50, y, x+100, y+50);
shape.quadraticCurveTo(x+50, y, x, y);      

var texture = new THREE.ImageUtils.loadTexture('images/checkerboard.jpg');        
var material = new THREE.MeshBasicMaterial({ map:texture, doubleSided:true });

/* 3D */
var extrudeSettings = { amount: 100 };
extrudeSettings.bevelEnabled = false;
extrudeSettings.steps = 1;

var geometry = new THREE.ExtrudeGeometry( shape, extrudeSettings );       

//var mesh = new THREE.Mesh( geometry, material );
var mesh = THREE.SceneUtils.createMultiMaterialObject( geometry, [ material, new THREE.MeshBasicMaterial( { color: 0x000000, wireframe: true, transparent: true } ) ] );
mesh.position.set( x, y, z);
mesh.rotation.set( rx, ry, rz );

scene.add( mesh );