Plotting zigzag in a 2D contour

Hello,as title, I have a 2D contour. Now I want to plot a zigzag geometry to infill the contour.But I have no idea how to do it. Can anyone give a hint? Thanks.

[Jayaprakash P]

Hi Kelly,

I am also working on the same problem for additive manufacturing applications. I have used the lineinpolygon.m, inpolygons.m, bufferm2, contourcs funtions. But could not succeed. Could you please help me for the same.

Answer 1

[Kelly Kearney]

Hmm, more fun.

Not exactly an out-of-the-box solution... I dug into my own toolbox of polygon stuff for this one, and that in turn uses a bunch of Mapping Toolbox polygon functions. But if you go fetch all of that ( lineinpolygon.m, inpolygons.m, bufferm2, contourcs ), this should work:

% Create a contour

[x,y,z] = peaks(100);
C = contourcs(x(1,:),y(:,1),z, [2 2]);

xc = C(1).X;
yc = C(1).Y;

% Diagonal lines

dx = 0.1;
dy = 0.1;

nl = 60; % Could probably calculate this, but I'm lazy
xe = floor(min(xc)./dx)*dx + (0:(nl-1))*dx;
ye = sort(ceil(max(yc)./dy)*dy - (0:(nl-1))*dy);

x1 = xe;
y1 = ones(1,nl).*ye(end);
x2 = ones(1,nl).*xe(1);
y2 = ye(end:-1:1);

xl = [x1; x2];
yl = [y1; y2];

% Zigzag the lines

[xc, yc] = poly2cw(xc, yc);
[xb, yb] = bufferm2('xy', xc, yc, 0.1, 'in'); % If you want some space between zigzag and edge

seg = zeros(0,2);
dirr = true;
for ii = 1:nl
    [isin, inseg] = lineinpolygon(xl(1,ii), yl(1,ii), ...
                    xl(2,ii), yl(2,ii), xb, yb);
    if isin
        if dirr
            seg = [seg; inseg(1:end-1,:)];
        else
            seg = [seg; inseg(end-1:-1:1,:)];
        end
        dirr = ~dirr;
    end     
end

plot(xc, yc, 'r', seg(:,1), seg(:,2), 'b');

[Jayaprakash P]

Hi Kelly,

I am also working on the same problem for additive manufacturing applications. I have used the lineinpolygon.m, inpolygons.m, bufferm2, contourcs funtions. But could not succeed. Could you please help me for the same.

[Jayaprakash P]

Could you please share your Matlab code.

[Kelly Kearney]

Those subfunctions can now be found under my GitHub: lineinpolygon, inpolygons, bufferm2 (and contourcs, by Kesh Ikuma, is on the FEX). This answer is a bit outdated now -- the newer polyshape objects might be a better way to go -- but this example will probably still run.

Answer 2

[Kelly Kearney]

You mean hatching, or similar? If so, there are several entries on the FEX that do that. An overview of a few of them can be found in this blog entry.

Answer 3

[Gary]

More like this.

[Adhirath Naruka]

Evening mam, I am a college student and me and my group have been working on a similar problem however we are not able to integrate the given code with our contour plotting. Any help on the matter will be greatly appreciated.