How to apply affine transformation or simple rotation on n points?

Question

Muhammad Iqbal 2020-1-24

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/501738-how-to-apply-affine-transformation-or-simple-rotation-on-n-points

回答： Image Analyst 2020-1-24

采纳的回答： Image Analyst

在 MATLAB Online 中打开

Can any one help me to apply random rotation (from 1 degree to 360 degree) on the following points :

I tried the following option but failed to generate the rotation scenario.

theta =90;
R=[cosd(theta) -sind(theta) 0 ;
  sind(theta) cosd(theta) 0;
     0 0 1];
P= [ 0 0 0;
    15 0 0;
    30 0 0;
    45 0 0;
    60 0 0];
rotpoint =P*R;

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Answer 1

Image Analyst 2020-1-24

1
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/501738-how-to-apply-affine-transformation-or-simple-rotation-on-n-points#answer_411732

在 MATLAB Online 中打开

Try it this way:

theta = 360 * rand;
rotationMatrix = [cosd(theta) -sind(theta) 0 ;
  sind(theta) cosd(theta) 0;
     0 0 1];
initialPoints = [ 0 0 0;
    15 0 0;
    30 0 0;
    45 0 0;
    60 0 0];
plot3(initialPoints(:, 1), initialPoints(:, 2), initialPoints(:, 3), 'b.', 'MarkerSize', 30);
hold on;
rotatedPoints = initialPoints * rotationMatrix
plot3(rotatedPoints(:, 1), rotatedPoints(:, 2), rotatedPoints(:, 3), 'r.', 'MarkerSize', 30);
grid on;
xlabel('X', 'FontSize', 20);
ylabel('Y', 'FontSize', 20);
zlabel('Z', 'FontSize', 20);
caption = sprintf('The initial points have been rotated by %.2f degrees', theta);
title(caption, 'FontSize', 20);
legend('Initial', 'Rotated');