Rotate an array of lines

Question

Xeio De Sono 2012-5-6

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https://ww2.mathworks.cn/matlabcentral/answers/37579-rotate-an-array-of-lines

I need to rotate a line (and posteriorly an array of lines) on a given alpha from a variable coordinate origin ( x,y ). I need to use the command line() and I already tried command rotate() with no luck.

Can some one please help me out? :)

Thanks in advance

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Walter Roberson 2012-5-6

What does it mean to rotate a line "on a given alpha" ?

Xeio De Sono 2012-5-6

Means that the angle varies in a iterative function:

for i=1:1:45

set(h3,'Visible','off')

h3=line(XXX,YYY) %its a matrix containing all lines I need

rotate(h3,[0 0 1],i); % 'i' is an angle variation, the so called "alpha"

set(h3,'Visible','on')

end

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Answer 1

Jakob Sørensen 2012-5-7

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https://ww2.mathworks.cn/matlabcentral/answers/37579-rotate-an-array-of-lines#answer_46928

If you for some reason can't get the built in functions to do as you want, you could always try it the old school way (doing the math yourself)...

http://en.wikipedia.org/wiki/Rotation_matrix

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Answer 2

bym 2012-5-6

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https://ww2.mathworks.cn/matlabcentral/answers/37579-rotate-an-array-of-lines#answer_46893

在 MATLAB Online 中打开

h = line([2,5],[2,2]);
rotate(h,[0,0,1],45)

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Xeio De Sono 2012-5-6

As I said, I tried rotate() without the result I needed, is there any other way to perform such rotation?

Jan 2012-5-6

As long as you describe the problems only by "with no luck" and "without the result I needed", it is hard to guess, what you are looking for. It is much more efficient to invest time in answering question, than in guessing, what the question is. So please post more details - by editing the original question, and not as answer or comment. Thanks.

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Answer 3

Xeio De Sono 2012-5-7

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https://ww2.mathworks.cn/matlabcentral/answers/37579-rotate-an-array-of-lines#answer_47012

在 MATLAB Online 中打开

Thank you Jan Simon for reminding me this is a tool not a toy. Thank you Jakob Sorensen for reminding me of the old ways. I now have the code that I needed. Its an array of lines that follows a given (x,y,teta) coordinate system. If you see a chance for code improvement please let me know.

 TWR = [ cos(param(3))  -sin(param(3))    param(1);
        sin(param(3))   cos(param(3))    param(2);
        0                          0          1 ]; %tranformation to the world for following (x,y,teta)
 TSR1=[  1  0    0;
       0   1    15;
        0                          0          1 ];
TSR2=[ 0.8660 -0.5    -10;
       0.5   0.8660   10;
        0                          0          1 ];
TSR3=[ 0.8660  0.5    10;
        -0.5   0.8660    10;
        0                          0          1 ];
    %transformation for each sonar
  Sonar1=[0 -8 0 8; 0 alcance(1) alcance(1) alcance(1); 1 1 1 1];
   Sonar2=[0 -8 0 8; 0 alcance(2) alcance(2) alcance(2); 1 1 1 1];
    Sonar3=[0 -8 0 8; 0 alcance(3) alcance(3) alcance(3); 1 1 1 1];
 %cone representing each sonar
  Sf1=TWR*TSR1*Sonar1;
  Sf2=TWR*TSR2*Sonar2; 
  Sf3=TWR*TSR3*Sonar3;
  % execution of the transformations
    Sonares=[ Sf1(1,1) Sf1(1,2) Sf1(2,1) Sf1(2,2); %
              Sf1(1,1) Sf1(1,3) Sf1(2,1) Sf1(2,3); % 3 raios sonar 1
              Sf1(1,1) Sf1(1,4) Sf1(2,1) Sf1(2,4); %
              Sf2(1,1) Sf2(1,2) Sf2(2,1) Sf2(2,2); %%
              Sf2(1,1) Sf2(1,3) Sf2(2,1) Sf2(2,3); %%3 raios sonar 2
              Sf2(1,1) Sf2(1,4) Sf2(2,1) Sf2(2,4); %%
              Sf3(1,1) Sf3(1,2) Sf3(2,1) Sf3(2,2);  %%%
              Sf3(1,1) Sf3(1,3) Sf3(2,1) Sf3(2,3);  %%%3 raios sonar 3
              Sf3(1,1) Sf3(1,4) Sf3(2,1) Sf3(2,4);
              Sf1(1,1) (Sf1(1,3)+Sf1(1,4))/2 Sf1(2,1) (Sf1(2,3)+Sf1(2,4))/2;
              Sf1(1,1) (Sf1(1,2)+Sf1(1,3))/2 Sf1(2,1) (Sf1(2,2)+Sf1(2,3))/2;
              Sf2(1,1) (Sf2(1,3)+Sf2(1,4))/2 Sf2(2,1) (Sf2(2,3)+Sf2(2,4))/2;
              Sf2(1,1) (Sf2(1,2)+Sf2(1,3))/2 Sf2(2,1) (Sf2(2,2)+Sf2(2,3))/2;
              Sf3(1,1) (Sf3(1,3)+Sf3(1,4))/2 Sf3(2,1) (Sf3(2,3)+Sf3(2,4))/2;
              Sf3(1,1) (Sf3(1,2)+Sf3(1,3))/2 Sf3(2,1) (Sf3(2,2)+Sf3(2,3))/2]; %%%array of lines
   line([Sonares(1,1) Sonares(1,2)],[Sonares(1,3) Sonares(1,4)])
   line([Sonares(2,1) Sonares(2,2)],[Sonares(2,3) Sonares(2,4)])
   line([Sonares(3,1) Sonares(3,2)],[Sonares(3,3) Sonares(3,4)])
   line([Sonares(4,1) Sonares(4,2)],[Sonares(4,3) Sonares(4,4)])
   line([Sonares(5,1) Sonares(5,2)],[Sonares(5,3) Sonares(5,4)])
   line([Sonares(6,1) Sonares(6,2)],[Sonares(6,3) Sonares(6,4)])
   line([Sonares(7,1) Sonares(7,2)],[Sonares(7,3) Sonares(7,4)])
   line([Sonares(8,1) Sonares(8,2)],[Sonares(8,3) Sonares(8,4)])
   line([Sonares(9,1) Sonares(9,2)],[Sonares(9,3) Sonares(9,4)])
   line([Sonares(10,1) Sonares(10,2)],[Sonares(10,3) Sonares(10,4)])
   line([Sonares(11,1) Sonares(11,2)],[Sonares(11,3) Sonares(11,4)])
   line([Sonares(12,1) Sonares(12,2)],[Sonares(12,3) Sonares(12,4)])
   line([Sonares(13,1) Sonares(13,2)],[Sonares(13,3) Sonares(13,4)])
   line([Sonares(14,1) Sonares(14,2)],[Sonares(14,3) Sonares(14,4)])
   line([Sonares(15,1) Sonares(15,2)],[Sonares(15,3) Sonares(15,4)])