Rotating Subparts of Image

I want to rotate subparts of images, like the following specific angles.

or,

Into something like this.

or,

The code used to generate the first figure generates the figure with any given number of 'pacman'-s, and the radii and centers of the 'pacmen' are known. I want to rotate each of them by some specified angle, and the coordinates of the 'pacman' centers and their radii are known. Also, I want 'export_fig' to export the figure leaving some boundary, not cutting it exactly at the edges. The function that generates the figures (the not rotated ones) is given below (it uses a function called circles.m ). Any help in this regard will be deeply appreciated.

function kanizsa(rad_pacman, rad_figure, number, nature, background)
    %%Prabaha, 21st June, 2017
    %%The function generates a Kanizsa polygon, which is regular
    % rad_pacman: radius individual pacmans
    % rad_figure: distance between center of polygon to its vertices
    % number: number of edges
    % background: background color in ColorSpec; default value [0.5 0.5 0.5]
    % nature: takes value 1,2,3 where 1 ir illusory, 2 is real, 3 is amodal
    r1 = rad_pacman;
    r2 = rad_figure;
    ax = r2 + 1.5*r1;
    n = number;
    if ~exist('background', 'var')
        background = [0.5 0.5 0.5];
    end
    bg = background;
    theta=0+2*pi/(2*n):2*pi/n:2*pi-2*pi/(2*n);
    normal = figure('Color', bg);
    axis([-ax ax -ax ax]);
    axis square;
    axis off;
    for i=1:length(theta)
        x(i) = r2*cos(theta(i));
        y(i) = r2*sin(theta(i));
        circles(x(i), y(i), r1, 'color', 'black');
    end
    set(gca,'Color',bg);
    hold on;
    occ = fill(x,y,bg);
    if nature==1
        set(occ, 'EdgeColor', 'None');
    elseif nature==3
        set(occ, 'EdgeColor', 'None');
        for i=1:length(theta)
            circles(x(i), y(i), r1, 'facecolor', 'none');
        end
    end
    camroll(-90);
    export_fig('kanizsa.png');
end

[John BG]

Hi

this is John BG ( <mailto:[e-mail] [e-mail]> )

the solution in

http://uk.mathworks.com/matlabcentral/answers/287017-imrotate-won-t-work-in-this-scenario-any-other-suggestions

may be of help.

Now you want just to rotate the 'pacmans' but with imrotatex.m you can choose the pivot point to be different than the current centre of each 'pacman'.

[Jerry Wang]

This function would be helpful, if I can extract the pacmen (the coordinates of the centers and radii are known), rotate them pivoting at the center, and then overlaying them on top of the image. Do you know how that can be done?

Answer 1

[Peter Cook]

This might work for you: 1. Mask a box around the pacman & extract the pixel values 2. Make the background grey where you pulled pacman out 3. Zero-center the pixels 4. Rotate the black pixels 5. Put the rotated black pixels back on the image

Here I assume your pacman attributes are in a struct and your greyscale pixel values are in a matrix called IMG.

%pull pacman from background (assuming greyscale image)
pacmanBox = IMG( (pacman(k).center(1) - pacman(k).radius):...
    (pacman(k).center(1) + pacman(k).radius),...
    (pacman(k).center(2) - pacman(k).radius):...
    (pacman(k).center(2) + pacman(k).radius) );
%fill background back to grey (assuming greyscale image)
IMG( (pacman(k).center(1) - pacman(k).radius):...
    (pacman(k).center(1) + pacman(k).radius),...
    (pacman(k).center(2) - pacman(k).radius):...
    (pacman(k).center(2) + pacman(k).radius) ) = 0.5;
%find pacman coordinates
[I,J] = find(pacmanBox==0);
pacman(k).xPixel = I - pacman(k).radius;
pacman(k).yPixel = J - pacman(k).radius;
%make transformation matrix
rotationMatrix = [cosd(theta),sind(theta),0;-sind(theta),cosd(theta),0;0,0,1];
%rotate pacman
X = [pacMan(k).xPixel,pacMan(k).yPixel,ones(length(xPixel),1)]';
rotatedPacman = rotationMatrix*X;
%update pixel coordinates in pacman struct
pacman(k).xPixel = round(rotatedPacMan(1,:)');
pacman(k).yPixel = round(rotatedPacMan(2,:)');
%update image (assuming greyscale image)
IMG(pacman(k).center(1)+pacman(k).xPixel,...
    pacman(k).center(2)+pacman(k).yPixel) = 0;

[Jerry Wang]

What I am basically doing in the function is, taking in the radius of the pacman, taking in the number of sides of the imaginary polygon being created, taking in the distance between the center of the imaginary polygon, and the vertices. Using these data, I am determining the positions of the centers of the pacmen (stored in arrays x, and y), and then calling the function 'circles' to plot circles at those centers, with the input radius. Then, I am overlaying the generated image with a solid, filled, polygon, with the circle centers as its vertices, to create the 'pacman' effect. So, I basically just have the x and y coordinates of the centers stored, and the 'pacman' radii.

Answer 2

[Image Analyst]

I believe it's as simple as changing this one line in your program:

theta=0+2*pi/(2*n):2*pi/n:2*pi-2*pi/(2*n);

simply change the formula to start and stop at the angles you desire. Why would it need to be any more complicated than that?

[Jerry Wang]

The 'theta' variable represents the angle of the (r, theta) polar coordinates of the centers of the pacmen. I draw circles at those centers, and then overlay a filled polygon on top of it, with its vertices at the centers of the circles, to create the effect of a pacman. So, changing the theta would not change the opening of the pacmen mouth, it'll just change the position of the circles.