/** * @author jsantell / https://www.jsantell.com/ * @author mrdoob / http://mrdoob.com/ */ import { Vector3 } from '../../math/Vector3.js'; var cameraLPos = new Vector3(); var cameraRPos = new Vector3(); /** * Assumes 2 cameras that are parallel and share an X-axis, and that * the cameras' projection and world matrices have already been set. * And that near and far planes are identical for both cameras. * Visualization of this technique: https://computergraphics.stackexchange.com/a/4765 */ function setProjectionFromUnion( camera, cameraL, cameraR ) { cameraLPos.setFromMatrixPosition( cameraL.matrixWorld ); cameraRPos.setFromMatrixPosition( cameraR.matrixWorld ); var ipd = cameraLPos.distanceTo( cameraRPos ); var projL = cameraL.projectionMatrix.elements; var projR = cameraR.projectionMatrix.elements; // VR systems will have identical far and near planes, and // most likely identical top and bottom frustum extents. // Use the left camera for these values. var near = projL[ 14 ] / ( projL[ 10 ] - 1 ); var far = projL[ 14 ] / ( projL[ 10 ] + 1 ); var topFov = ( projL[ 9 ] + 1 ) / projL[ 5 ]; var bottomFov = ( projL[ 9 ] - 1 ) / projL[ 5 ]; var leftFov = ( projL[ 8 ] - 1 ) / projL[ 0 ]; var rightFov = ( projR[ 8 ] + 1 ) / projR[ 0 ]; var left = near * leftFov; var right = near * rightFov; // Calculate the new camera's position offset from the // left camera. xOffset should be roughly half `ipd`. var zOffset = ipd / ( - leftFov + rightFov ); var xOffset = zOffset * - leftFov; // TODO: Better way to apply this offset? cameraL.matrixWorld.decompose( camera.position, camera.quaternion, camera.scale ); camera.translateX( xOffset ); camera.translateZ( zOffset ); camera.matrixWorld.compose( camera.position, camera.quaternion, camera.scale ); camera.matrixWorldInverse.getInverse( camera.matrixWorld ); // Find the union of the frustum values of the cameras and scale // the values so that the near plane's position does not change in world space, // although must now be relative to the new union camera. var near2 = near + zOffset; var far2 = far + zOffset; var left2 = left - xOffset; var right2 = right + ( ipd - xOffset ); var top2 = topFov * far / far2 * near2; var bottom2 = bottomFov * far / far2 * near2; camera.projectionMatrix.makePerspective( left2, right2, top2, bottom2, near2, far2 ); } export { setProjectionFromUnion };