Apply flip left-right to the following 8-bit grayscale 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 given 8-bit grayscale image matrix. This involves reversing the order of the columns in 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 8-bit grayscale image matrix is: $$ L' = \begin{bmatrix} 3 & 2 & 1 \ 6 & 5 & 4 \ 9 & 8 & 7 \end{bmatrix} $$
Steps to Solve
- Identify the Matrix Structure
The given matrix is $$ L = \begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} $$ It consists of 3 rows and 3 columns.
- Reverse the Order of Columns
For a left-right flip, we reverse each row's columns.
- For the first row: $$ [1, 2, 3] \rightarrow [3, 2, 1] $$
- For the second row: $$ [4, 5, 6] \rightarrow [6, 5, 4] $$
- For the third row: $$ [7, 8, 9] \rightarrow [9, 8, 7] $$
- Construct the New Matrix
After flipping, the new matrix becomes: $$ L' = \begin{bmatrix} 3 & 2 & 1 \ 6 & 5 & 4 \ 9 & 8 & 7 \end{bmatrix} $$
The flipped left-right 8-bit grayscale image matrix is: $$ L' = \begin{bmatrix} 3 & 2 & 1 \ 6 & 5 & 4 \ 9 & 8 & 7 \end{bmatrix} $$
More Information
Flipping a matrix left-right is a common operation in image processing, especially for creating mirror images. This can be useful in various applications, such as enhancing visual effects and altering perspectives.
Tips
- Not Flipping Each Row: Make sure to reverse each row individually. Some may mistakenly reverse the matrix itself instead of individual rows.
- Incorrect Indexing: Ensure that the indices are correctly accessed while reversing, as mixing rows and columns may lead to errors.
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