发现从一个点以矩阵的所有其他点的距离的矩阵 [英] Find the distance from one point in a matrix to all other points in a matrix

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问题描述

我有一个矩阵 A ,我想计算的从一个点到所有其他点的距离即可。所以,真正的结局矩阵应该有一个零(点我选择),并应表现为某种围绕特定点数的圈子。

这是我已经但是我似乎无法得到正确的结果。

  A = [1 2 3 4 5 6 7 8 9 10]对于i = 2:20
    一个(ⅰ,:) = A(I-1,:) + 1;
结束N = 10为I = 1:N
    对于J = 1:N
        DX = A(I,1)-a(J,1);
        DY = A(I,2)-a(J,2);
        距离(I,J)= SQRT(DX ^ 2 + DY ^ 2)
    结束
结束


解决方案

这就是我一直在寻找,但感谢所有的建议。

  A =兰特(5,5);
select_cell = [3 3];
距离=零(尺寸(A,1),尺寸(A,2));
对于i = 1:尺寸(A,1)
    对于j = 1:尺寸(A,2)
        距离(I,J)= SQRT((ⅰ - select_cell(1))^ 2 +(J - select_cell(2))^ 2);
    结束
结束
DISP(距离)

您也可以通过矢量化改进:

 距离=开方((X-X中心值)^ 2 +(Y-yCenter)^ 2

I have a matrix a and I want to calculate the distance from one point to all other points. So really the outcome matrix should have a zero (at the point I have chosen) and should appear as some sort of circle of numbers around that specific point.

This is what I have already but I cant seem to get the correct outcome.

a = [1 2 3 4 5 6 7 8 9 10]

for i = 2:20
    a(i,:) = a(i-1,:) + 1;
end

N = 10

for I = 1:N
    for J = 1:N
        dx = a(I,1)-a(J,1);
        dy = a(I,2)-a(J,2);
        distance(I,J) = sqrt(dx^2 + dy^2)
    end
end

解决方案

This is what i was looking for, but thanks for all the suggestions.

A = rand(5, 5);
select_cell = [3 3];
distance = zeros(size(A, 1), size(A, 2));
for i = 1:size(A, 1)
    for j = 1:size(A, 2)
        distance(i, j) = sqrt((i - select_cell(1))^2 + (j - select_cell(2))^2);
    end
end
disp(distance)

Also you can improve it by using vectorisation:

distances = sqrt((x-xCenter).^2+(y-yCenter).^2

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