How can I animate the drawing of a figure 8 shape in a polar plot to confirm the path it takes?

Question

Omar Ahmed 2018-6-20

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/406594-how-can-i-animate-the-drawing-of-a-figure-8-shape-in-a-polar-plot-to-confirm-the-path-it-takes

评论： Omar Ahmed 2018-6-20

Here is my code, where I am taking a figure 8 shape on a polar plot and rotating it around. I want to confirm the path that each figure 8 is drawn by animating it.

start = 0;
end_ = 2*pi;
disc = pi/16;
theta4 = 0:0.01:2*pi;
rho4 = sqrt(4*cos(2*theta4).*(sec(theta4).^4)); % figure 8 function
for i=0:31;
    interval = start+i*disc:0.01:end_+i*disc;
    %subplot(4,4,i+1)
    polarplot(interval,rho4)
    hold on
    pause(0.2)
end

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Answer 1

Steven Yeh 2018-6-20

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https://ww2.mathworks.cn/matlabcentral/answers/406594-how-can-i-animate-the-drawing-of-a-figure-8-shape-in-a-polar-plot-to-confirm-the-path-it-takes#answer_325495

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Try this:

start = 0;
end_ = 2*pi;
disc = pi/16;
theta4 = 0:0.01:2*pi;
rho4 = sqrt(4*cos(2*theta4).*(sec(theta4).^4)); % figure 8 function
figure()
stepSize = 20;
for i=0:31
    interval = start+i*disc:0.01:end_+i*disc;        
    for k = 1:stepSize:length(rho4) 
        endPoint = min(k+stepSize, length(rho4)); % avoid array boundary exception
        polarplot(interval(k:endPoint), rho4(k:endPoint));
        hold on    
        pause(0.2)
    end
end