three.js/examples/jsm/utils/CameraUtils.js

import {
	MathUtils,
	Quaternion,
	Vector3
} from '../../../build/three.module.js';

const _va = /*@__PURE__*/ new Vector3(), // from pe to pa
	_vb = /*@__PURE__*/ new Vector3(), // from pe to pb
	_vc = /*@__PURE__*/ new Vector3(), // from pe to pc
	_vr = /*@__PURE__*/ new Vector3(), // right axis of screen
	_vu = /*@__PURE__*/ new Vector3(), // up axis of screen
	_vn = /*@__PURE__*/ new Vector3(), // normal vector of screen
	_vec = /*@__PURE__*/ new Vector3(), // temporary vector
	_quat = /*@__PURE__*/ new Quaternion(); // temporary quaternion

class CameraUtils {

	/** Set a PerspectiveCamera's projectionMatrix and quaternion
	 * to exactly frame the corners of an arbitrary rectangle.
	 * NOTE: This function ignores the standard parameters;
	 * do not call updateProjectionMatrix() after this!
	 * @param {Vector3} bottomLeftCorner
	 * @param {Vector3} bottomRightCorner
	 * @param {Vector3} topLeftCorner
	 * @param {boolean} estimateViewFrustum */
	static frameCorners( camera, bottomLeftCorner, bottomRightCorner, topLeftCorner, estimateViewFrustum = false ) {

		const pa = bottomLeftCorner, pb = bottomRightCorner, pc = topLeftCorner;
		const pe = camera.position; // eye position
		const n = camera.near; // distance of near clipping plane
		const f = camera.far; //distance of far clipping plane

		_vr.copy( pb ).sub( pa ).normalize();
		_vu.copy( pc ).sub( pa ).normalize();
		_vn.crossVectors( _vr, _vu ).normalize();

		_va.copy( pa ).sub( pe ); // from pe to pa
		_vb.copy( pb ).sub( pe ); // from pe to pb
		_vc.copy( pc ).sub( pe ); // from pe to pc

		const d = - _va.dot( _vn );	// distance from eye to screen
		const l = _vr.dot( _va ) * n / d; // distance to left screen edge
		const r = _vr.dot( _vb ) * n / d; // distance to right screen edge
		const b = _vu.dot( _va ) * n / d; // distance to bottom screen edge
		const t = _vu.dot( _vc ) * n / d; // distance to top screen edge

		// Set the camera rotation to match the focal plane to the corners' plane
		_quat.setFromUnitVectors( _vec.set( 0, 1, 0 ), _vu );
		camera.quaternion.setFromUnitVectors( _vec.set( 0, 0, 1 ).applyQuaternion( _quat ), _vn ).multiply( _quat );

		// Set the off-axis projection matrix to match the corners
		camera.projectionMatrix.set( 2.0 * n / ( r - l ), 0.0,
			( r + l ) / ( r - l ), 0.0, 0.0,
			2.0 * n / ( t - b ),
			( t + b ) / ( t - b ), 0.0, 0.0, 0.0,
			( f + n ) / ( n - f ),
			2.0 * f * n / ( n - f ), 0.0, 0.0, - 1.0, 0.0 );
		camera.projectionMatrixInverse.copy( camera.projectionMatrix ).invert();

		// FoV estimation to fix frustum culling
		if ( estimateViewFrustum ) {

			// Set fieldOfView to a conservative estimate
			// to make frustum tall/wide enough to encompass it
			camera.fov =
				MathUtils.RAD2DEG / Math.min( 1.0, camera.aspect ) *
				Math.atan( ( _vec.copy( pb ).sub( pa ).length() +
						   ( _vec.copy( pc ).sub( pa ).length() ) ) / _va.length() );

		}

	}

}

export { CameraUtils };