zero domain changing to one in time

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shiva 2014-10-15

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https://ww2.mathworks.cn/matlabcentral/answers/158739-zero-domain-changing-to-one-in-time

编辑： Star Strider 2014-10-15

Hello, The problem that I'm dealing with is a square domain that is zero everywhere in the begininng. then it startes to change to one as time passes. so I have selected the zero square matrix G that its elemetns chnages to one and how it switches to one depends on matrix A. actually my code uses the elements of matrix A. for instance, at the second time step the height from the center line that changes to one is the second element of matrixA and so on. if you take a look at my foor loops, you can understand the logic of how this change grows in the y direction from the centerline. the important point here is that the A matrix elemetn are not integers. I was wondering whether there is any other way of chosing the domain. this approach is not precise since I'm using a matrix and it rounds all the elements to the nearest integer number. I hope i have not been confusing and I appreciate all your valuable suggestions in advance.

clear all;
m=1000;
n=1000;
G=zeros(m,n);
G(500,1)=1;
A(1,1)=1;
for i=2:1:1000
    sol=roots([1 -A(i-1,1) -1]);
    A(i,1)=sol(sol>=0);
end
for t=1:1:1000
    G(500,t)=1;
    for i=1:1:t
        for j=1:1:A(t-i+1)
        G(500+j,i)=1;
        G(500-j,i)=1;
        end
    end
end
colormap('hot')
imagesc(G(:,(1:1000)))
colorbar