var a = new THREE.Euler( 0, 1, 1.57, 'YXZ' );
var b = new THREE.Vector3( 1, 0, 1 );
var c = b.applyEuler(a);
In order to get the value of c using b.applyEuler(a), I am looking for the reverse operation involving applyEuler.
Given that the values of c and b are known, my objective is to compute the value of a.
Here's a handy function you can implement in your project to calculate the inverse of a rotation represented by an Euler:
THREE.Euler.prototype.inverse = function () {
var q = new THREE.Quaternion();
return function inverse() {
return this.setFromQuaternion( q.setFromEuler( this ).invert() );
};
}();
This function first converts the Euler representation to a quaternion representation, then inverts the quaternion, and finally converts it back to Euler.
It's important to note that Euler representations are not unique, so their inverses are also non-unique.
If you have two unit vectors a and b, and you need to find the rotation that transforms a into b, you can use the following:
var q = new THREE.Quaternion().setFromUnitVectors( a, b );
Both a and b must be normalized (have a length of 1), which can be achieved using the Vector3.normalize() method.
Version used: three.js r.84
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