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<strong>Imatest</strong> <strong>Documentation</strong><br />

Spatial Frequency Response (MTF)<br />

Lower left: Frequency domain (MTF) plot<br />

Black line<br />

(bold)<br />

Red line<br />

(dashed,bold)<br />

Right column<br />

text<br />

(results)<br />

Input data<br />

Spatial Frequency Response (MTF) for the<br />

luminance (Y) channel. Unprocessed.<br />

Spatial Frequency Response (MTF) for the<br />

luminance (Y) channel with Standardized sharpening.<br />

[Std Sharpening checked]<br />

MTF50 (50% contrast spatial frequency) for the original uncorrected image in cycles/pixel and line widths per<br />

picture height (LW/PH). Its relationship to print quality is discussed in Interpretation of MTF50.<br />

MTF50 (with standardized sharpening; corrected) in cycles/pixel and LW/PH. Radius R used for setting<br />

standardized sharpening is displayed. Defaults to 2 (larger for unusually broad transitions (poor MTF response)). It may<br />

be adjusted in the input dialog box. [Std Sharpening checked]<br />

Equivalent "ideal megapixels" in brackets [n mpxls ideal]: a number based on the concept that the "ideal" pixel<br />

would have an MTF of 1 up to the Nyquist frequency (0.5 C/P), and 0 above, and hence, MTF50 = 0.5 C/P. The<br />

number of "ideal pixels" that would yield the identical sharpness (MTF50) is,<br />

4 * MTF50(C/P horizontal) * horizontal pixels * MTF50(C/P vertical) * vertical pixels<br />

The number displayed assumes that MTF50 is the same in horizontal and vertical directions— usually, but not<br />

always, a good assumption— there are exceptions, such as the Nikon D70. You should not expect the "ideal<br />

megapixel" count to equal the total megapixel count of the camera. In the real world, performance is<br />

excellent if it is half the actual megapixels. In cameras with weak anti-aliasing filters or a high degree of<br />

sharpening, MTF may be greater than 0.5 at the Nyquist frequency. In this case, [> n mpxls ideal] is displayed,<br />

where n is the total number of pixels in the camera, is displayed. Larger numbers are meaningless. Aliasing issues<br />

such as moire patterns may be present, but the simple slanted edge pattern cannot be used to evaluate the<br />

seriousness of aliasing.<br />

MTF50P (spatial frequency where contrast is 50% of its peak value) for the original uncorrected image<br />

in cycles/pixel and line widths per picture height (LW/PH). This is the same as MTF50 for slightly to moderately sharpened<br />

edges, but smaller for oversharpened edges. It may be a better indicator than MTF50 of the perceived sharpness of<br />

oversharpened images. [Std Sharpening off]<br />

Oversharpening or undersharpening. The amount the camera is over- or undersharpened with respect to standardized<br />

sharpening. 100% ( MTF( feql ) - 1) where feql is the frequency where MTF is set to 1 by standardized sharpening. [Std<br />

Sharpening checked]<br />

MTF30 (30% contrast spatial frequency for the original uncorrected image) is the default value of the Secondary<br />

Readout, which can be set in the SFR input dialog window. You can select MTFxx, the spatial frequency for xx%<br />

contrast, or the MTF at a spatial frequency specified in cycles/pixel, pixels/mm, or pixels/inch.<br />

MTF at the Nyquist frequency. May indicate of the effectiveness of the anti-aliasing filter and likelihood of aliasing<br />

effects such as Moire patterns. But it not an unambiguous indicator because aliasing is related to sensor response, and<br />

MTF at Nyquist is the product of sensor response, the de-mosaicing algorithm, and sharpening, which can boost<br />

response at Nyquist for radii less than 1. Aliasing effects may become serious over 0.3. There is a tradeoff: the more<br />

effective the sensor anti-aliasing, the worse the sharpness. Foveon sensors (used in the Sigma SD9 and SD10) are more<br />

tolerant of aliasing than Bayer sensors, which are used in most digital cameras.<br />

Nyquist frequency: Half the sampling rate = 1/(2*pixel spacing). Always 0.5 cycles/pixel. Indicated by the vertical blue<br />

line.<br />

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