Convert from ArcRotateCamera, pos + alpha, beta, radius to pos + quaternion

[Takemura]

To simplify I would utilize getFrontPosition() like here:

Same camera on switch

Corresponding to your case, I would set target of arc camera as target of universal: universalCamera.setTarget(arcCamera.target) In case of switching from arc to universal: arcCamera.setTarget(universalCamera.getFrontPosition(arcCamera.radius)) The Playground: Note: There might be special edge case on arcCamera.beta === 0, so that arc camera flips, because it only has an upVector and no forwardVector.