Curved plane surface in CSS3 or Three.js?

Question

How can I create a curved plane surface (like the one pictured) using CSS3 or Three.js?

Answer 1

var width = 100, height = 100, width_segments =1, height_segments = 100;
var plane = new THREE.PlaneGeometry(width, height, width_segments, height_segments);

for(var i=0; i<plane.vertices.length/2; i++) {
    plane.vertices[2*i].position.z = Math.pow(2, i/20);
    plane.vertices[2*i+1].position.z = Math.pow(2, i/20);
}

var mesh = new THREE.Mesh(plane, new THREE.MeshLambertMaterial({color: 0x888888}));
mesh.doubleSided = true;
mesh.rotation.y = Math.PI/2-0.5;
scene.add(mesh);

You create geometry, and displace it's vertices the way you would like to. For creating curved surface you could use 'sin' or 'cos' functions, or exponential, as I showed. Hope this helps.