Hi,
You can approach the problem as follows:
Step 1: Create a line using sum of m sine and n cosine functions. An example using one sine function and one cosine function is shown below.
% Define image size
width = 1000;
height = 1000;
% Create a white background image
image = ones(height, width, 3);
% Define the height of the superposition from the bottom
h = 200;
% Generate x-coordinates for the image
x = 1:width;
% Calculate the y-coordinates for the sine and cosine functions
scale = 300; % Scaling factor for the functions
y_sine = h + scale * sin(x / scale); % Scaled sine function
y_cosine = h + scale * cos(x / scale); % Scaled cosine function
y= y_sine + 0.6*y_cosine;
% Set the color of the superposition to black
color = [0, 0, 0];
% Draw the superposition on the image
for i = 1:width
image(round(y(i)), i, :) = color;
end
% Display the image
imshow(image);
Step 2: Now color each pixel according to which region (upper or bottom) they belong to.
% Define image size
width = 1000;
height = 1000;
% Create a white background image
image = ones(height, width, 3);
% Define the height of the superposition from the bottom
h = 200;
% Generate x-coordinates for the image
x = 1:width;
% Calculate the y-coordinates for the sine and cosine functions
scale = 300; % Scaling factor for the functions
y_sine = h + scale * sin(x / scale); % Scaled sine function
y_cosine = h + scale * cos(x / scale); % Scaled cosine function
y = y_sine + 0.6 * y_cosine;
% Set the color of the superposition to black
color_above = [0, 0, 1]; % Blue color for above the line
color_below = [1, 0, 0]; % Red color for below the line
% Draw the superposition on the image
for i = 1:width
for j = 1:height
if j <= round(y(i))
image(j, i, :) = color_below; % Set color below the line
else
image(j, i, :) = color_above; % Set color above the line
end
end
end
% Display the image
imshow(image);
To introduce randomness, you can tweak the following:
- Number of sine and cosine function
- Variable h in the above code to adjust the height from top and bottom.
- The frequency of sine and cosine functions
- Scaling factor
I hope this helps.
