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As the optical transfer function of these systems is real and non-negative, the optical transfer function is by definition equal to the modulation transfer function (MTF). Images of a point source and a spoke target with high spatial frequency are shown in (b,e) and (c,f), respectively.
The equation for the optical modulation transfer function associated with smear is the standard sinc function associated with an extended sample M T F s m e a r ( u ) = sin ( π α u ) π α u {\displaystyle \mathrm {MTF} _{\mathrm {smear} }(u)={\frac {\sin(\pi \alpha u)}{\pi \alpha u}}}
The optical transfer function of a well-focused (a), and an out-of-focus optical imaging system without aberrations (d). As the optical transfer function of these systems is real and non-negative, the optical transfer function is by definition equal to the modulation transfer function (MTF).
The equation for the optical Modulation transfer function associated with jitter is = where k is the spatial frequency and is the amplitude of the jitter. [2] Note that this frequency is in radians of phase per cycle.
The magnitude is known as the Modulation Transfer Function (MTF) and the phase portion is known as the Phase Transfer Function (PTF). In imaging systems, the phase component is typically not captured by the sensor. Thus, the important measure with respect to imaging systems is the MTF.
In optics, spatial cutoff frequency is a precise way to quantify the smallest object resolvable by an optical system. Due to diffraction at the image plane, all optical systems act as low pass filters with a finite ability to resolve detail.
Minimum resolvable temperature difference (MRTD) is a measure for assessing the performance of infrared cameras, and is inversely proportional to the modulation transfer function. Typically, an operator is asked to assess the minimum temperature difference at which a 4-bar target can be resolved .
An analytical characterization of resolution as the modulation transfer function is available by plotting the observed image contrast as a function of the various element spatial frequencies. Optical aberrations in the imaging system are readily detected and characterized by translating and rotating the elements within the imaging system's ...
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