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Image Fusion Technique Based on PCA and Fuzzy Logic Essay

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This paper presents a image fusion technique based on PCA and fuzzy logic. the framework of the proposed image fusion technique is divided in the following major phases:
 preprocesing phase
 Feature extraction based on the principal component analysis  The image fusion based on fuzzy set
 Reconstruction final image
The figure (1) shows the framework of the proposed image fusion and its phases.
Fig. 1. The proposed approach of image fusion phases
A. Preprocessing Phase
This phase consists of three steps registration , resampling and histogram matching .In the following
1) Registration:Image fusion is the approach of combining two or more images of same scene to obtain the more informative image. The image data is recorded by sensors
on …show more content…

Bilinear resampling is known also bilinear filtering or bilinear interpolation. Bilinear resampling is used to smooth out when they are displayed smaller or larger than they actually are. the bilinear resampling is done by interpolating between the four pixels nearest to the point that best represents that pixel
(usually in the middle or upper left of the pixel). The bilinear resampling takes a weighted average of 4 pixels in the original image nearest to the new pixel location The averaging process modifies the original pixel values and creates entirely new digital values in the output image. Bilinear resampling results are smoother,accurate,without stairstepped effect. But it has some limitations that is edges are smoothed and some extremes of the data file values are lost. It is expressed mathematically as follows Assuming i and j are integer parts of x and y, respectively; bilinear resampling is defined by:
F(x;y) =Wi;j[F(i;j)] +Wi+ 1;j[F(i+ 1;j)]
+Wi;j+ 1[F(i;j + 1)] +Wi+ 1;j+ 1[F(i+ 1;j+ 1)]
(8)
where
Wi;j= (i+ 1 x)(j+ 1 y)
Wi+ 1;j= (x i)(j+ 1 y)
Wi;j+ 1 = (i+ 1 x)(y j)
Wi+ 1;j+ 1 = (x i)(y j)
3) Histogram Matching: As previously mentioned Image fusion is the approach of combining two or more images of same scene to obtain the more informative image. The histogram matching is important step in the preprocessing for the image fusion.The histogram of an image illustrates the frequency of

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