Calculate the angle between multiple points

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Laura 2013-6-13

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评论： Jess Smith 2018-12-3

I have a matrix A contain x values in the first column and y values in the second column. I want to calculate the angle between vectors.

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Jan 2013-6-13

There is no "angle between points". Do you mean the angle between two vectors?

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采纳的回答

Jan 2013-6-13

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The ACOS and the corresponding ASIN approchs are numerically instable near to multiples of pi (half). Better use the more accurate ATAN2 method:

angle = atan2(norm(cross(v1,v2)), dot(v1,v2));

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Stephen Devlin 2018-3-16

Hi, I have no idea if anyone will see this comment as it is years after the original post, but mathematically what is this expression:

"angle = atan2(abs(det([v1;v2])),dot(v1,v2));"

Jess Smith 2018-12-3

@stephen thats basically doing the inverse tangent of the cross product of 2D vectors over the dot product of those vectors, giving you the angle; cross product of a x b is |a||b|sin(theta) and dot product is |a||b|cos(theta) so dividing them by each other and taking inverse tan is the angle

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