$35.00

Category: CSC 340

Description

5/5 - (3 votes)

Write a program that loads in an image and repeatedly rotatesit by x degrees until the image has

been rotated 360⁰ in total.

Your program should include the following:

• A parameter for the angle to rotate by at each step

• A function for multiplying two arbitrary nxm matrices (n and m should be dynamic)

• A rotation matrix of the format below. Each pixel in the image must be multiplied by R

using the matrix multiplication function (prior bullet).

𝑅𝑅 = �

cos 𝜃𝜃 − sin 𝜃𝜃

sin 𝜃𝜃 cos 𝜃𝜃 �

• An array variable for your image that is large enough for the entire image to be visible

during all the intermediate rotations (when you’ve rotated 45⁰, the corners of your image

should not be clipped)

• Absolute color error calculation: Code to compute the absolute error between the colors

of the original image’s pixels and the colors of the image after it’s been rotated 360⁰

• Pixel displacement calculation: Code to compute the distance each pixel moves during

rotation. This total value should be divided by:

(numPixelsInImage * numTimesImageWasRotated)

You can use the OpenCV and Numpy libraries for opening, displaying, and saving images and to

create empty arrays/images. You may also use the math library built into Python for sine, cosine,

and PI calculations. You may not use any other built-in functions or libraries.

Submit your code and a report. Your report must be a PDF and contain the following:

• Summary of the assignment goals

• 3+ images showing your code at intermediate stages (image rotated x degrees) with

captions saying what angle stepsize is being used and the total rotation of the image so

far (i.e. Image rotated 60⁰ with steps of 20⁰, 3 rotation operations applied so far.)

• A chart with the following information filled in:

Angle Step Size # Rotations Absolute Color Error Pixel Displacement (# Rotations) * (Pixel

Displacement)

45⁰ 8

60⁰ 6

90⁰ 4

120⁰ 3

180⁰ 2

360⁰ 1

• Conclusions drawn from the completed chart

• Discussion of any issues encountered

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