Rotate set of data points

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Abhishek Mishra 2023-1-13

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https://ww2.mathworks.cn/matlabcentral/answers/1893380-rotate-set-of-data-points

评论： Abhishek Mishra 2023-1-13

I have a velocity curve which I need to rotate such that the right end remains at the same position where as the left end is rotated to 0 value(y-coordinate). How can I achieve this keeping the curve profile same?

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Answer 1

Mathieu NOE 2023-1-13

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https://ww2.mathworks.cn/matlabcentral/answers/1893380-rotate-set-of-data-points#answer_1147850

在 MATLAB Online 中打开

hello

see below

the home made solution performs better than built in detrend matlab function (even with 'linear' argument)

%% dummy data
N=1000; % Number of data points
t=[0:1:N-1]/N; 
y = 1.5*(1 - t);
y2=sin(20*t)+y;
y(100:N-100) = y2(100:N-100);
%% solution 1 
ynew1 = detrend(y,'linear');
%% solution 2 (home made)
dy = y(1) - y(end); % if you want start and end point at same Y value (zero or non zero)
yc = linspace(dy,0,numel(y));
ynew2 = y - yc;
plot(t,y,t,ynew1,t,ynew2)
legend('initial data','linear detrend','home made detrend');