Using Three.js to establish coplanarity of points and project coplanar points onto the XY plane

Question

Using Three.js to establish coplanarity of points and project coplanar points onto the XY plane

Looking to determine if a set of Vector3 points are co-planar in a specific plane and then project them onto the XY plane while maintaining their scale. Any suggestions on how to accomplish this efficiently using three.js?

javascript 3d three.js

Answer 1

Answer №1

Here is a simple function to verify if four points lie in the same plane:

function tripleProduct(a,b,c) {
  return a.clone().dot(
    b.clone().cross(c)
  );
}
    
function _isCoPlanar(a,b,c,d) {
  var ab = b.clone().sub(a);
  var ac = c.clone().sub(a);
  var ad = d.clone().sub(a);
  return tripleProduct(ab,ac,ad) === 0;
}

Iterate through the array and ensure that every point from the fourth one onwards lies in the same plane as the first three points.

For projecting onto the plane, you can utilize the projectOnPlane function.

Answer 2

Here is a simple function to verify if four points lie in the same plane:

function tripleProduct(a,b,c) {
  return a.clone().dot(
    b.clone().cross(c)
  );
}
    
function _isCoPlanar(a,b,c,d) {
  var ab = b.clone().sub(a);
  var ac = c.clone().sub(a);
  var ad = d.clone().sub(a);
  return tripleProduct(ab,ac,ad) === 0;
}

Iterate through the array and ensure that every point from the fourth one onwards lies in the same plane as the first three points.

For projecting onto the plane, you can utilize the projectOnPlane function.

Using Three.js to establish coplanarity of points and project coplanar points onto the XY plane

Answer №1

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