I'm currently developing a project with the three.js library, and I am curious about how to calculate the angle (let's refer to it as α) between two plane geometries. You can find a helpful visual representation of the planes in this image.
I'm currently developing a project with the three.js library, and I am curious about how to calculate the angle (let's refer to it as α) between two plane geometries. You can find a helpful visual representation of the planes in this image.
Here is an illustration showcasing the calculation for the angle between two planes using PlaneHelper.
To determine the angle between the normals of the planes, you can obtain the normal vectors and use the formula normal1.angleTo(normal2).
If you are interested in finding the angle between the planes themselves, consider that the two planes along with their respective normals create a square. Since the normals are perpendicular to the planes, and the angle between them is known.
Hence, the angle between the planes can be calculated as 360 - (normal_angle + 180).
Note: When working with PlaneGeometry, you can construct your Plane by utilizing three points from the geometry like this:
const vertices = plane.geometry.attributes.position.array;
const plane1 = new THREE.Plane();
plane1.setFromCoplanarPoints(
new THREE.Vector3(vertices[0], vertices[1], vertices[2]),
new THREE.Vector3(vertices[3], vertices[4], vertices[5]),
new THREE.Vector3(vertices[6], vertices[7], vertices[8])
);
const scene = new THREE.Scene();
const camera = new THREE.PerspectiveCamera( 75, window.innerWidth / window.innerHeight, 0.1, 1000 );
const renderer = new THREE.WebGLRenderer();
renderer.setSize( window.innerWidth, window.innerHeight );
document.body.appendChild( renderer.domElement );
camera.position.z = 5;
const plane1= new THREE.Plane( new THREE.Vector3( 1, 1, 0.2 ), 2 );
const helper = new THREE.PlaneHelper( plane1, 6, 0xffff00 );
scene.add( helper );
const plane2= new THREE.Plane( new THREE.Vector3( -0.5, 0.2, 0.2 ), 2 );
const helper2 = new THREE.PlaneHelper( plane2, 6, 0xff00 );
scene.add( helper2 );
const normal_angle_radians = plane1.normal.angleTo(plane2.normal);
const normal_angle_degress = radians_to_degrees(normal_angle_radians);
const angle_between_planes = 360 - normal_angle_degress - 180;
alert('The degrees angle between planes is: '+ angle_between_planes);
const animate = function () {
requestAnimationFrame( animate );
renderer.render( scene, camera );
};
function radians_to_degrees(radians)
{
var pi = Math.PI;
return radians * (180/pi);
}
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