determine the orientation of a three-dimensional plane using three specified points

What is the most efficient method to align a plane in Three.js so that it intersects three dynamic points?

This question pertains to my use of Three.js

Answer №1

Start by creating a geometric shape. Add a vertice for each point and form a face using those vertices. Here's an example:

let geometry = new THREE.Geometry();
geometry.vertices.push(new THREE.Vector3(0,0,0));
geometry.vertices.push(new THREE.Vector3(1,1,0));
geometry.vertices.push(new THREE.Vector3(1,-1,0));
geometry.faces.push( new THREE.Face3( 0, 1, 2 ) );
geometry.dynamic = true;
let shapeMesh = new THREE.Mesh(geometry, material);
scene.add(shapeMesh);

Remember to notify three.js whenever you make changes to the geometry:

geometry.verticesNeedUpdate = true;
geometry.elementsNeedUpdate = true;

Answer №2

In order to determine the orientation of the plane using a vector, you can find the cross product of any two sides of the triangular shape.

For example, if you have points labeled as a, b, and c:

side1 = calculateVectorSubtraction(a, b);
side2 = calculateVectorSubtraction(a, c);
planeOrientation = calculateCrossProduct(side1, side2); 

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