Write in Matlab an image encryption algorithm with minim$3$chaotic systems$($maps$)$:

$1-$Arnold Chaotic Map, $2-$Lorenz Hyperchaotic System and $3-$Adaptive Wavelet Chaos Map

Implementation using this chaotic systems of an Image Encryption Algorithm Based on Rubik$$s Cube Principle, using the usual metrics used to measure the performance of encryption algorithms: PSNR$,$entropy$,$ NPCR$,$UACI$,$ horizontal, vertical, diagonal pixel correlation.

Folow the steps and write the code for each step:

Step $1$: Read$/$Load the input image

Display the input image

Step $2$: Convert to grayscale if it's a color image

Normalize the image to the range $[0,1]$

Step $3$: Initialize three chaotic systems

Chaotic system $1$: Arnold Chaotic

Set parameters for Arnold Chaotic system

Chaotic system $2$: Lorenz Hyperchaotic System

Set parameters for Lorenz Hyperchaotic System

Chaotic system $3$: Adaptive Wavelet Chaos Map

$-$implement the part to generate sequence for Adaptive Wavelet Chaos Map.

Set parameters for Adaptive Wavelet Chaos Map

Step $4$: Initialize and Generate chaotic sistem sequences

Three chaotic sequences are generated using three chaotic systems

$-$you need towrite and implement the part to generate sequence for Adaptive Wavelet Chaos Map

Step $5$: Encryption process, Perform image encryption

Here, you need to design an encryption scheme using the chaotic sequences

This could involve Image Encryption Algorithm Based on Rubik$$s Cube Principle

$--$ write and implement the Ruik's Cube Principle encryption

After encryption result a file$($image$)$

Write the image file on disk

Display the encrypt image

Step $6$: Decryption process, Perform image decryption

Write the image file on disk

Display the decrypted image

Step $6$: Calculate performance metrics

You need to implement functions to calculate the metrics like:

PSNR$,$ entropy, NPCR$,$ UACI, horizontal, vertical, and diagonal pixel correlation.

Step $7$: Display the saved results

PSNR$,$entropy$,$ NPCR$,$UACI$,$ horizontal, vertical, diagonal pixel correlation.

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

OBS: $-$write and implement the part to generate sequence for Adaptive Wavelet Chaos Map.

$-$ write and implement the Ruik's Cube Principle encryption

$-$ Implementing a Rubik's Cube principle for encryption typically involves defining a method to rotate and permute the image blocks based on chaotic sequences. This pseudocode needs full implementation in our code.

After write your's steps in algoritm, choice any picture and load in this altgoritm and RUN the code in Matlab.

IF ONLY it works, then write me the ANSWER! $-($ALL FUNCTION CODE MUST RUN PERFECT, NO errors in all code$)$for thumb UP$!$