Apply flip up-down to the following 8-bit greyscale image matrix: L = [[1, 2, 3], [4, 5, 6], [7, 8, 9]].
Understand the Problem
The question is asking how to apply a vertical flip (flip up-down) to the given 8-bit greyscale image matrix. This means reversing the order of the rows in the matrix provided.
Answer
$$ \begin{bmatrix} 7 & 8 & 9 \\ 4 & 5 & 6 \\ 1 & 2 & 3 \end{bmatrix} $$
Answer for screen readers
The flipped 8-bit greyscale image matrix is:
$$ \begin{bmatrix} 7 & 8 & 9 \ 4 & 5 & 6 \ 1 & 2 & 3 \end{bmatrix} $$
Steps to Solve
- Identify the Matrix The given matrix is:
$$ L = \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} $$
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Reverse the Rows To apply a vertical flip, we need to reverse the order of the rows in the matrix. The last row becomes the first row, the second row stays in the middle, and the first row becomes the last row.
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Construct the Flipped Matrix The new matrix after flipping up-down will be:
$$ L' = \begin{bmatrix} 7 & 8 & 9 \ 4 & 5 & 6 \ 1 & 2 & 3 \end{bmatrix} $$
The flipped 8-bit greyscale image matrix is:
$$ \begin{bmatrix} 7 & 8 & 9 \ 4 & 5 & 6 \ 1 & 2 & 3 \end{bmatrix} $$
More Information
Flipping a matrix vertically is an essential operation in image processing, helping to create mirrored effects or adjust orientations.
Tips
- Not flipping all rows: Ensure that every row is accounted for in the reversal.
- Incorrectly identifying the new positions: Double-check your matrix after flipping to ensure rows are correctly positioned.
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