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How to Calculate Modulation Transfer Function to ASME

Evaluating the spatial resolution performance characteristics of imaging equipment is done by using the Modulation Transfer Function. The MSF is measured by the application of various equations to data for a specific piece of equipment. To do this, you will need to first obtain the data that is required to complete each equation, in sequence, to calculate the MSF. The results can then be compared to ASME data tables.

Instructions

- 1
  Write out the equation used to calculate the Edge Spread Function. This equation will be expressed as ̶0;AVG(f(x,y) = f(0,0) + f(0,1) + f(0,2) + ...f(0,N-1).̶1;
- 2
  Write out the equation that is used to calculate the Line Spread Function. This equation will be expressed as ̶0;LSF(x) = d(Avg(f(x,y)))/dx.̶1; Substitute the result from Step 1 for "Avg(f(x,y)."
- 3
  Write out the equation to calculate the Fast Fourier Function. This equation will be expressed as ̶0;X(n-k) = X*k.̶1;
- 4
  Write out the equation that you will use to calculate the Modulation Transfer Function. This equation will be expressed as ̶0;MTF (w) = FFT {LSF(x)}.̶1; Substitute the results from the previous steps into the equation. The result of this equation can then be plotted on a graph for comparison with an ASME table.

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