Nyquist frequency for a system with rectangular pixels

In summary, the conversation is discussing the calculation of the Nyquist frequency for a system used in digital imaging for PET and SPECT. The formula for calculating the Nyquist frequency is f = 1/ 2 * pixel size, but for pixels that are rectangular with different dimensions, it is unclear which dimension should be used. It is mentioned that there will be two Nyquist frequencies, one for each spatial frequency component, and that it is possible for a system to have different resolutions along different axes.
  • #1
mitch_1211
99
1
hey everyone,

so i know to calculate the nyquist frequency for a system (for digital imaging in PET and SPECT in this example) given the pixel size its just f = 1/ 2 * pixel size

but for pixels that are rectangular and have a larger and smaller dimension, which one should be used here?

the smaller dimension obviously gives the higher nyquist frequency, is that what we are after here?

or do we use the larger dimension as that is a limiting factor of resolution of the system?

thanks :)

mitch
 
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  • #2
There will be two Nyquist frequencies, one each for each spatial frequency component (x and y).

It is permissible for a system to have different resolutions along different axes. An extreme example would be a 1D array of detectors.

Claude.
 

FAQ: Nyquist frequency for a system with rectangular pixels

What is Nyquist frequency for a system with rectangular pixels?

Nyquist frequency is the maximum frequency that can be accurately captured and represented in a digital system without aliasing or distortion. It is equal to half the sampling rate of the system.

How is Nyquist frequency related to rectangular pixels?

In a system with rectangular pixels, the Nyquist frequency is determined by the spacing of the pixels in the horizontal and vertical directions. This spacing is known as the pixel pitch and is used to calculate the Nyquist frequency for that particular system.

Why is it important to consider Nyquist frequency for a system with rectangular pixels?

If the Nyquist frequency is not taken into account in a system with rectangular pixels, it can result in aliasing and distortion of the captured image. This can lead to inaccurate representation of high frequency components and a loss of image quality.

How can Nyquist frequency be adjusted in a system with rectangular pixels?

Nyquist frequency can be adjusted by changing the pixel pitch or the sampling rate of the system. In general, decreasing the pixel pitch or increasing the sampling rate will result in a higher Nyquist frequency and better representation of high frequency components.

Are there any limitations to the Nyquist frequency in a system with rectangular pixels?

Yes, the Nyquist frequency is limited by the physical characteristics of the system, such as the size and spacing of the pixels. It cannot be increased indefinitely without changing these physical parameters.

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