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    Re: Camera distortion of sky images. was Re: NG's "Midnight Fun
    From: Marcel Tschudin
    Date: 2010 Jun 16, 22:52 +0300

    Regarding George's assumption:
    
    > I presume that before the analysis was made, predicted altitudes of the
    > Sun's centre had already been corrected for dip and refraction,.if we're
    > looking into such fine distinctions.
    
    After we realised that the measurements depend on the personal
    techniques and the personal skill, all the measurements were made then
    by Greg alone. In the photos the sun's edges and in this case also of
    the apparent horizon were measured. The corresponding angular height
    was calculated knowing the position of the observer and the time when
    the photo was taken, considering also refraction and dip. I actually
    hesitated first to use this procedure for calibration because
    refraction and dip introduce additional errors. When Greg made the
    photos he had therefore to verify that the horizon was "normal" in
    particular that Santa Ana was not blowing. Personally I preferred to
    do the calibration only using the sun's diameter as reference and by
    integrating over the differential scales. Since the calibration
    obtained from the sun-horizon photos showed to be sufficiently good
    and the final equations very easy to use we didn't continue further.
    
    The calibration graphs which I previously sent do actually not show
    the real amount of distortion. The almost linear relationship is
    rather a coincidence. I therefore attach here an other figure which
    gives a better impression on the amount of lens distortion and how it
    was measured for obtaining the differential scale (moa/pixel). This
    example is from the 200mm lens. Each data point corresponds to the
    mean value of 6 diameter measurements which results from differences
    of 6 measurements of the pixel position of the right limb and 6
    measurements of the left limb position. The data at y≈1350 Pixels
    corresponded to the centre line. The black lines are polynomial fits
    to the data in the corresponding figure. The red data refer to the
    results from the fit to all data in the x/y-plane which here in the
    centre agreed better than at the outer borders.
    
    Marcel
    
    
    
    

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