Stopping down more than f16 is not going to reduce distortion of the spherical object in your image. Using a longer focal length lens (say 300mm) and backing up lots will help. The other factors is camera position. Appears the image was made at ground level which can alter the geometric shape of a round object being imaged on to a flat sheet of film. If possible, try setting up the camera from a location that places the spherical object on axis with the lens. Might not be possible, but suspect this will make a significant difference using the same 150mm lens.
As for geometric distortion of view camera lenses of the modern variety (Schneider Symmar S ) it is very low, but how they are used and shape of objects being imaged will have an effect of how the object being imaged transfer on to a flat sheet of film.
As for Aspheric lensed for LF, there were only ~one~ series of lenses made in volume production for LF photograph, they are the Schneider Super Symmar XL series which are wide angle lenses. Any wide angle lens would very likely make this distorting worst due to the shorter focal length.
Found the Schneider data sheet for the APO Symmar which is the later variant of the Symmar S, honestly they are not that different for distortion spec. Distortion is not more than 0.5% which is typical for lenses of this type and generic formulation. If there is a need to achieve lower geometric distortion, use a "APO" process lens they have much lower distortion, but in this specific image case, the possibility of lower the geometric distortion of the spherical object of using an extremely low geometric distortion APO process lens is not good. Longer focal length and camera position will change this distortion of the spherical object.
Bernice
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