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ImageTools

  

Quality

  

compute the quality measure of a reconstructed image

 

Calling Sequence

Parameters

Options

Description

Examples

Calling Sequence

Quality( img_r, img_s, meas, opts )

Parameters

img_r

-

Image; reconstructed image

img_s

-

Image; source image

meas

-

(optional) name; quality measure

opts

-

(optional) equation(s) of the form option = value; specify options for the Quality command

Options

• 

peak = realcons

  

Specifies the peak value to use for the peak signal-to-noise ratio (psnr) calculation. It is ignored for the other cases. The default is 1.

Description

• 

The Quality command computes the quality measure of a reconstructed image with respect to a source image.

• 

The img_r and img_s parameters are the reconstructed and the source images, respectively. They must be grayscale images and have the same width, height, and order (C_order or Fortran_order).

Quality Measures

  

The optional meas parameter is a name specifying the quality measure. It can take one of the following values, the default is mse:

• 

mse:  mean-squared error. mse=sum⁡ri,j−si,j2w⁢h, where r,s are the reconstructed and source images, i,j range over all pixels, and w,h are the width and height.

• 

rmse: root-mean-squared error (rms). rmse=mse.

• 

snr: signal-to-noise ratio. snr=10⁢log10⁡sum⁡si,j2w⁢h⁢mse.

• 

psnr: peak signal-to-noise ratio. psnr=10⁢log10⁡peak2mse.

Examples

> 

with⁡ImageTools:

> 

img_s≔Create⁡100,200,r,c↦evalf⁡0.5⋅sin⁡r50+0.5⋅sin⁡c30:

> 

img_r≔0.99⁢img_s+0.01:

> 

Quality⁡img_r,img_s,psnr

42.61176831

(1)
> 

Quality⁡img_r,img_s,snr

36.96510324

(2)
> 

Quality⁡img_r,img_s,rmse

0.007403065375

(3)
> 

Quality⁡img_r,img_s,mse

0.0000548053769518647838

(4)

See Also

ImageTools