psf2otf

Convert point-spread function to optical transfer function

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Syntax

OTF = psf2otf(PSF)
OTF = psf2otf(PSF,sz)

Description

OTF = psf2otf(PSF) computes the fast Fourier transform (FFT) of the point-spread function (PSF) array and creates the optical transfer function array, OTF, that is not influenced by the PSF off-centering.

example

OTF = psf2otf(PSF,sz) specifies the size, sz, of the optical transfer function.

Examples

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Open Live Script

Create a point-spread function (PSF).

PSF  = fspecial('gaussian',13,1);

Convert the PSF to an Optical Transfer Function (OTF).

OTF  = psf2otf(PSF,[31 31]);

Plot the PSF and the OTF.

subplot(1,2,1); 
surf(PSF); 
title('PSF');
axis square; 
axis tight
subplot(1,2,2); 
surf(abs(OTF)); 
title('Corresponding |OTF|');
axis square; 
axis tight

Figure contains 2 axes objects. Axes object 1 with title PSF contains an object of type surface. Axes object 2 with title Corresponding |OTF| contains an object of type surface.

Input Arguments

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Point-spread function, specified as a numeric array of any dimension.

Example: PSF = fspecial("gaussian",13,1);

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64
Complex Number Support: Yes

Size of the output optical transfer function OTF, specified as a vector of positive integers. The size of OTF must be greater than or equal to the size of PSF in all dimensions. By default, OTF is the same size as PSF.

Data Types: double

Output Arguments

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Optical transfer function, returned as a numeric array of size sz.

Data Types: double
Complex Number Support: Yes

Tips

  • To ensure that OTF is not altered because of PSF off-centering, psf2otf postpads PSF (down or to the right) with 0s to match the dimensions specified by sz. Then psf2otf circularly shifts the values of PSF up (or to the left) until the central pixel reaches the (1,1) position.

  • This function is used in image convolution and deconvolution when the operations involve the FFT.

Extended Capabilities

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Version History

Introduced before R2006a

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See Also

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