Project element on a line
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Hi everyone! My question is: how can i project an element on a straight line? In other words, i have a matrix(nx2) that represent my element and a matrix(2x2) that represent my straight line, how can i project that element on that line? Is there a function? Thx in advance! :)
2 Comments
Matt J
on 29 Sep 2012
Explain how an nx2 matrix represent a (single?) element to be projected. Is each row a coordinate in 2D? And if so, how does a 2x2 matrix represents a straight line? In 2D, only 2 parameters are required to represent a line, not a 2x2 matrix.
Accepted Answer
Matt J
on 30 Sep 2012
Edited: Matt J
on 30 Sep 2012
In your example, the line new_w1 is going through the origin. I'll assume that to be the case here.
In general, if you want to project X1 onto the line through the origin t*d where d is the direction vector of the line, you would do
projections = X1*d(:)*d(:).'/norm(d)^2
2 Comments
Matt J
on 1 Oct 2012
I'm not aware of the distinction between "orthogonal projection" and "perpendicular projection".
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