Calculate the entry in the FeatureMap(1,3) in the figure?

Computer Networking: A Top-Down Approach (7th Edition)
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FeatureMap(m,n) =
m n
E E Image(m + i – 1,n+j- 1) Kernel(i,j)
i- 1j-1
Calculate the entry in the FeatureMap(1,3) in the
figure?
92
21
O 71
Transcribed Image Text:FeatureMap(m,n) = m n E E Image(m + i – 1,n+j- 1) Kernel(i,j) i- 1j-1 Calculate the entry in the FeatureMap(1,3) in the figure? 92 21 O 71
The method to compress an image in image
processing is using convolution matrix where the
number of outputs is reduced by replacing the matrix
multiplication with much smaller kernel matrix. This
is illustrated on the figure below. In this example a
black and white photograph is scanned as a
rectangular array of pixels and then stored as image
matrix on the left by assigning each pixel a numerical
value in accordance with its gray level, (0 = white to
255 = black), then the entries in the matrix are
integers between O and 255.Then multiplication is
employed with much smaller kernel matrix in the
middle.
0|0 21 00 o
106
85
71
1
250 231 127 63
1
250 252 250 209 56
1
250 252 250 250 83
Kernel
0 0 0
Feature map
Image
Boxes in red and blue frames indicate how the upper
left element is formed by applying the kernel to the
corresponding upper left region of the input matrix.
The elements of much smaller "feature map" matrix
on the right can be calculated from:
3.
Transcribed Image Text:The method to compress an image in image processing is using convolution matrix where the number of outputs is reduced by replacing the matrix multiplication with much smaller kernel matrix. This is illustrated on the figure below. In this example a black and white photograph is scanned as a rectangular array of pixels and then stored as image matrix on the left by assigning each pixel a numerical value in accordance with its gray level, (0 = white to 255 = black), then the entries in the matrix are integers between O and 255.Then multiplication is employed with much smaller kernel matrix in the middle. 0|0 21 00 o 106 85 71 1 250 231 127 63 1 250 252 250 209 56 1 250 252 250 250 83 Kernel 0 0 0 Feature map Image Boxes in red and blue frames indicate how the upper left element is formed by applying the kernel to the corresponding upper left region of the input matrix. The elements of much smaller "feature map" matrix on the right can be calculated from: 3.
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