Abstract: A method of rendering an image includes receiving information of a virtual camera, including a camera position and a camera orientation defining a virtual screen; receiving information of a target screen, including a target screen position and a target screen orientation defining a plurality of pixels, each respective pixel corresponding to a respective UV coordinate on the target screen; for each respective pixel of the target screen: determining a respective XY coordinate of a corresponding point on the virtual screen based on the camera position, the camera orientation, the target screen position, the target screen orientation, and the respective UV coordinate; tracing one or more rays from the virtual camera through the corresponding point on the virtual screen toward a virtual scene; and estimating a respective color value for the respective pixel based on incoming light from virtual objects in the virtual scene that intersect the one or more rays.

Abstract: A method includes receiving a first motion path for an object, where an orientation of the object is not aligned with the first motion path for the object for at least a portion of the first motion path. The method also includes receiving a first motion path for a virtual camera and determining a speed of the object along the first motion path for the object. The method additionally includes calculating a second motion path for the object based on the speed of the object along the first motion path for the object and the orientation of the object, where the second motion path of the object is aligned with second motion path. The method further includes calculating a second motion path for the virtual camera based on a difference between the first motion path of the object and the second motion path of the object.

Abstract: A method includes receiving a first motion path for an object, where an orientation of the object is not aligned with the first motion path for the object for at least a portion of the first motion path. The method also includes receiving a first motion path for a virtual camera and determining a speed of the object along the first motion path for the object. The method additionally includes calculating a second motion path for the object based on the speed of the object along the first motion path for the object and the orientation of the object, where the second motion path of the object is aligned with second motion path. The method further includes calculating a second motion path for the virtual camera based on a difference between the first motion path of the object and the second motion path of the object.