Apply flip left-right 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 to apply a left-right flip operation on the provided 8-bit grayscale image matrix. This involves reversing the order of the elements in each row of the matrix.
Answer
$$ L' = \begin{bmatrix} 3 & 2 & 1 \\ 6 & 5 & 4 \\ 9 & 8 & 7 \end{bmatrix} $$
Answer for screen readers
The flipped left-right matrix is:
$$ L' = \begin{bmatrix} 3 & 2 & 1 \ 6 & 5 & 4 \ 9 & 8 & 7 \end{bmatrix} $$
Steps to Solve
- Identify the original matrix
The given 8-bit grayscale image matrix is:
$$ L = \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} $$
- Flip each row left-right
To flip the matrix left-right, reverse the order of elements in each row.
- First row: $[1, 2, 3]$ becomes $[3, 2, 1]$
- Second row: $[4, 5, 6]$ becomes $[6, 5, 4]$
- Third row: $[7, 8, 9]$ becomes $[9, 8, 7]$
So we have:
$$ L' = \begin{bmatrix} 3 & 2 & 1 \ 6 & 5 & 4 \ 9 & 8 & 7 \end{bmatrix} $$
- Write the flipped matrix
The resulting flipped matrix is:
$$ L' = \begin{bmatrix} 3 & 2 & 1 \ 6 & 5 & 4 \ 9 & 8 & 7 \end{bmatrix} $$
The flipped left-right matrix is:
$$ L' = \begin{bmatrix} 3 & 2 & 1 \ 6 & 5 & 4 \ 9 & 8 & 7 \end{bmatrix} $$
More Information
Flipping an image matrix horizontally is a common operation in image processing and computer graphics, allowing for various transformations and augmentations.
Tips
- Not reversing each row: Some might attempt to flip the whole matrix without reversing the rows individually. Ensure that the operation is performed on each row.
- Miswriting the new matrix: Be careful to maintain the correct structure and elements while writing the flipped matrix.
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