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Mapping without the sun
Zhang, Jixian

Figure 3d. Fused image by the morphological pyramid
3.1 Visual examination
From the results of the image fusion presented in Figure 3c and
Figure 3d, Visual comparison suggests that the fused image
improves sharpness compared to the original images. Moreover,
compared with the result of the fusion obtained by the
Laplacian pyramid, the result of the fusion obtained by the
morphological pyramid is better in visual effect. Due to
limitations of human vision in terms of distinguishing the
number of grey levels, comparison and appreciation by visual
methods does not reveal the exact potentials of the fusion
methods. Hence, comparison of image statistics is attempted to
evaluate the results obtained by the Laplacian pyramid fusion
and the morphological pyramid fusion.
3.2 Quantitative analysis
In addition to visual examination, we conduct a quantitative
analysis. The analysis of the experimental results is based on
entropy and average gradient of an image (Table 1). The
entropy refers to the amount of the image information content.
The higher entropy, the better the image quality. The average
gradient refers to the sharpness of the image. The higher
average gradient, the better the image quality.
In Table 1, we show that entropy and average gradient of the
fused image by the morphological pyramid method are bigger
than these of the fused image by the Laplacian pyramid method.
From these results, we can conclude that the morphological
pyramid method provides more detailed spatial information
than the Laplacian pyramid-based fusion method.
Average gradient
Image focusing on the
Image focusing on the
Fused image by the
Laplacian pyramid
Fused image by the
morphological pyramid
Table 1. Evaluation of fused image by the Laplacian pyramid
fusion and the morphological pyramid fusion.
We have presented a region-based morphological pyramid
fusion method. With the experiments carried out on multi-focus
images, Compared experimental results pertaining to indicators
of entropy and average gradient, the fusion method based on the
morphological pyramid provides better visual and quantitative
results than that of the Laplacian pyramid-based fusion for
multi-focus image fusion. The implementation of our algorithm
is still in a preliminary stage. However, the results obtained so
far suggest that approach may be useful for the multifocus
image fusion. Investigate will be more thoroughly in the future.
Blum R. S., and Zheng Liu, 2005. Multi-Sensor image fusion
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Processing and Communications, pp 1-29.
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The authors would like to express their sincere gratitude to the
anonymous referees for pointing out several typos and for some
very helpful comments.
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