Main Content

Image Fusion

The toolbox requires only one function for image fusion: wfusimg. You'll find full information about this function in its reference page. For more details on fusion methods see the wfusmat function.

In this section, you will learn how to:

  • Merge images from their decompositions

  • Restore images from their decompositions

The principle of image fusion using wavelets is to merge the wavelet decompositions of the two original images using fusion methods applied to approximations coefficients and details coefficients (see [MisMOP03] and [Zee98] in References).

The two images must be of the same size and are supposed to be associated with indexed images on a common colormap (see wextend to resize images).

Two examples are examined: the first one merges two different images leading to a new image and the second restores an image from two fuzzy versions of an original image.

Fuse Two Images

Open Live Script

This example shows how to fuse two images to create a new image.

Load the mask and bust images.

load mask
x1 = X;
load bust
x2 = X;

Merge the two images from level 5 wavelet decompositions using the db2 wavelet. Perform the fusion by taking the mean for both approximations and details.

wv = 'db2';
lv = 5;
xfusmean = wfusimg(x1,x2,wv,lv,'mean','mean');

Merge the two images again, but this time perform the fusion by taking the maximum of the approximations and the minimum for the details.

xfusmaxmin = wfusimg(x1,x2,wv,lv,'max','min');

Plot the original and fused images.

subplot(2,2,1)
image(x1)
axis square
title('Mask')
subplot(2,2,2)
image(x2)
axis square
title('Bust')
subplot(2,2,3)
image(xfusmean)
axis square 
title('Synthesized Image: mean-mean')
subplot(2,2,4)
image(xfusmaxmin)
axis square
title('Synthesized Image: max-min')
colormap(map)

Figure contains 4 axes objects. Axes object 1 with title Mask contains an object of type image. Axes object 2 with title Bust contains an object of type image. Axes object 3 with title Synthesized Image: mean-mean contains an object of type image. Axes object 4 with title Synthesized Image: max-min contains an object of type image.

Restore Image From Two Fuzzy Versions

Open Live Script

This example shows how to restore an image from two fuzzy versions of an original image.

Load two fuzzy versions of an original image.

load cathe_1
x1 = X;
load cathe_2
x2 = X;

Merge the two images from level 5 wavelet decompositions using the smy4 wavelet. Perform the fusion by taking the maximum of the absolute value of the coefficients for both approximations and details.

wv = 'sym4';
lv = 5;
xfus = wfusimg(x1,x2,wv,lv,'max','max');

Plot the original and fused images.

subplot(2,2,1)
image(x1)
axis square
title('Catherine 1')
subplot(2,2,2)
image(x2)
axis square
title('Catherine 2')
subplot(2,2,3)
image(xfus)
axis square 
title('Synthesized Image')
colormap(map)

Figure contains 3 axes objects. Axes object 1 with title Catherine 1 contains an object of type image. Axes object 2 with title Catherine 2 contains an object of type image. Axes object 3 with title Synthesized Image contains an object of type image.

See Also

|