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@@ -21274,6 +21274,7 @@ var cameraRPos = new Vector3();
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* Assumes 2 cameras that are parallel and share an X-axis, and that
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* the cameras' projection and world matrices have already been set.
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* And that near and far planes are identical for both cameras.
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+ * Visualization of this technique: https://computergraphics.stackexchange.com/a/4765
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*/
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function setProjectionFromUnion( camera, cameraL, cameraR ) {
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@@ -21287,23 +21288,21 @@ function setProjectionFromUnion( camera, cameraL, cameraR ) {
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// VR systems will have identical far and near planes, and
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// most likely identical top and bottom frustum extents.
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- // via: https://computergraphics.stackexchange.com/a/4765
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+ // Use the left camera for these values.
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var near = projL[ 14 ] / ( projL[ 10 ] - 1 );
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var far = projL[ 14 ] / ( projL[ 10 ] + 1 );
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+ var topFov = ( projL[ 9 ] + 1 ) / projL[ 5 ];
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+ var bottomFov = ( projL[ 9 ] - 1 ) / projL[ 5 ];
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- var leftFovL = ( projL[ 8 ] - 1 ) / projL[ 0 ];
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- var rightFovR = ( projR[ 8 ] + 1 ) / projR[ 0 ];
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- var leftL = near * leftFovL;
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- var rightR = near * rightFovR;
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- var topL = near * ( projL[ 9 ] + 1 ) / projL[ 5 ];
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- var topR = near * ( projR[ 9 ] + 1 ) / projR[ 5 ];
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- var bottomL = near * ( projL[ 9 ] - 1 ) / projL[ 5 ];
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- var bottomR = near * ( projR[ 9 ] - 1 ) / projR[ 5 ];
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+ var leftFov = ( projL[ 8 ] - 1 ) / projL[ 0 ];
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+ var rightFov = ( projR[ 8 ] + 1 ) / projR[ 0 ];
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+ var left = near * leftFov;
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+ var right = near * rightFov;
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// Calculate the new camera's position offset from the
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// left camera. xOffset should be roughly half `ipd`.
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- var zOffset = ipd / ( - leftFovL + rightFovR );
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- var xOffset = zOffset * - leftFovL;
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+ var zOffset = ipd / ( - leftFov + rightFov );
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+ var xOffset = zOffset * - leftFov;
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// TODO: Better way to apply this offset?
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cameraL.matrixWorld.decompose( camera.position, camera.quaternion, camera.scale );
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@@ -21317,12 +21316,12 @@ function setProjectionFromUnion( camera, cameraL, cameraR ) {
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// although must now be relative to the new union camera.
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var near2 = near + zOffset;
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var far2 = far + zOffset;
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- var left = leftL - xOffset;
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- var right = rightR + ( ipd - xOffset );
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- var top = Math.max( topL, topR );
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- var bottom = Math.min( bottomL, bottomR );
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+ var left2 = left - xOffset;
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+ var right2 = right + ( ipd - xOffset );
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+ var top2 = topFov * far / far2 * near2;
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+ var bottom2 = bottomFov * far / far2 * near2;
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- camera.projectionMatrix.makePerspective( left, right, top, bottom, near2, far2 );
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+ camera.projectionMatrix.makePerspective( left2, right2, top2, bottom2, near2, far2 );
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}
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Mr.doob