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Write a decompression algorithm to decode the original image.

1. Decode the image into a vector with 65536 elements.
2. Use the MATLAB reshape command to convert the 65536-element vector into a 256 x 256 image.
3. Display the decompressed image.

The first value in the array contains the length of the first run of consecutive zeros in the vectorized image. The second value contains the length of the next run of ones. The values continue in this alternating manner.

Values (all in one row):
11051 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 215 41 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 87 41 71 57 11308

Answer :

To decode the image from the given data, we have to first convert the string of numbers into a sequence of 0s and 1s according to the lengths provided.

The sequence starts with a run of zeros, then a run of ones, and it alternates in this manner. After we get the sequence, we reshape it to a 2D matrix of 256x256 and display the image. Here is a MATLAB code to do this:

How to write the code

To answer the problem and decode the original image, follow these steps:

Retrieve the encoded vector and its length: The given input contains a sequence of numbers. The first number represents the length of the first run of consecutive zeros in the vectorized image, followed by the length of the next run of ones, and so on. Separate and store this information in variables.

Create the encoded vector: Initialize an empty vector to store the encoded values. Iterate through the lengths of the runs, alternating between zeros and ones, and add the corresponding values to the encoded vector.

Read mroe on Matlab here https://brainly.com/question/13715760

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