Problem 46669. Rotation matrix of a sequence of 3D points

Created by Matteo Lo Preti

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<div style = "text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "><span style="">Given a sequence of rotation matrices Rotation_Matrix [3x3xN], and a sequence of 3D points [3x1xN], compute the [3xN] sequence in the rotated coordinates.</span></span></div></div></div>

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Solution Stats

9 Solutions
4 Solvers

Last Solution submitted on Mar 03, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 24 Oct 2020

Please, do not use isequal with floats, prefer instead abs(a-b) < tol. Notice how my solution used round and had to fix errors manually despite the operation being correct.

Solution Comments

Solution 3111146

1 Comment

1 Comment

Marco Torres on 8 Oct 2020

I tried the next function, but there is an error in the decimals. I got this result:

y_correct = [0.4347 0.7167
0.2266 0.5861
0.3375 0.9331]

function Rotated_Vector = RotTimesVec(Rotation_Matrix,Vector)
[a,b,Dim] = size(Rotation_Matrix);
Rotated_Vector = [];
for n=1:Dim
Ans = Vector(:,:,n)*Rotation_Matrix(:,:,n);
Rotated_Vector = [Rotated_Vector Ans'];
end

end

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