Question

Can we read the quanternion in terms of eigenvalues of equivalent 3D rotation matrix?

score 65 · Answer 1 · 2026-04-08 16:07:36

65

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Can we read the quanternion in terms of eigenvalues of equivalent 3D rotation matrix?

Published on 08 Apr 2026 - 16:07

score 272 · Answer 2 · 2026-04-10 08:42:59

272

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How best to convert Tait-Bryan angles to Euler Angles? For VR Controller project.

Published on 10 Apr 2026 - 8:42

score 158 · Answer 3 · 2026-03-30 11:22:41

158

Views

Showing $\frac{\partial}{\partial \Phi}\left(\Phi\circ\exp(\varphi)\circ\Phi^{-1}\right) = I - C(\Phi)C(\varphi)C(\Phi)^T$ for 3D rotations

Published on 30 Mar 2026 - 11:22

score 213 · Answer 4 · 2022-06-28 21:39:14

213

Views

Rotation of axes in arbitrary dimension

Published on 28 Jun 2022 - 21:39

score 113 · Answer 5 · 2026-04-09 06:06:57

113

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What is a continuous representation space for 3D rotations under cube symmetries?

Published on 09 Apr 2026 - 6:06

score 44 · Answer 6 · 2026-04-11 13:02:40

44

Views

How to specify second degree of freedom while calculating rotation from one direction vector to another

Published on 11 Apr 2026 - 13:02

score 93 · Answer 7 · 2026-04-11 18:58:54

93

Views

Angle preserving property by rotation seems to be violated in desmos plot

Published on 11 Apr 2026 - 18:58

score 207 · Answer 8 · 2026-04-11 12:27:57

207

Views

Derivative of Rodrigue's rotation formula

Published on 11 Apr 2026 - 12:27

score 659 · Answer 9 · 2026-03-25 17:38:12

659

Views

Intrinsic, Extrinsic, Active, and Passive Rotations

Published on 25 Mar 2026 - 17:38

score 384 · Answer 10 · 2022-07-08 11:51:25

384

Views

Trouble understanding the proof that the orbit of every $x\in S^1$ is dense under the mapping $R_\alpha x = x + \alpha \mod 1$ for irrational $\alpha$

Published on 08 Jul 2022 - 11:51

score 86 · Answer 11 · 2026-04-06 08:02:16

86

Views

Reference request for the gimbal lock from a topological perspective

Published on 06 Apr 2026 - 8:02

score 51 · Answer 12 · 2026-04-10 16:36:55

51

Views

Making a coordinate system slide around a parabola in order to ( hopefully) make a parabola slide on its fixed coordinate system.

Published on 10 Apr 2026 - 16:36

score 569 · Answer 13 · 2026-04-09 08:26:54

569

Views

How to reverse Euler rotation?

Published on 09 Apr 2026 - 8:26

score 95 · Answer 14 · 2026-04-11 08:18:50

95

Views

How to reverse Euler rotation without reverting Euler rotation order?

Published on 11 Apr 2026 - 8:18

score 27 · Answer 15 · 2022-07-09 18:44:02

27

Views

Compute the differential map of $\exp(sX): \mathbb R^3\to\mathbb R^3$ where $X$ is an element of $\mathfrak s\mathfrak o(3)$

Published on 09 Jul 2022 - 18:44

List Question

Can we read the quanternion in terms of eigenvalues of equivalent 3D rotation matrix?

How best to convert Tait-Bryan angles to Euler Angles? For VR Controller project.

Showing $\frac{\partial}{\partial \Phi}\left(\Phi\circ\exp(\varphi)\circ\Phi^{-1}\right) = I - C(\Phi)C(\varphi)C(\Phi)^T$ for 3D rotations

Rotation of axes in arbitrary dimension

What is a continuous representation space for 3D rotations under cube symmetries?

How to specify second degree of freedom while calculating rotation from one direction vector to another

Angle preserving property by rotation seems to be violated in desmos plot

Derivative of Rodrigue's rotation formula

Intrinsic, Extrinsic, Active, and Passive Rotations

Trouble understanding the proof that the orbit of every $x\in S^1$ is dense under the mapping $R_\alpha x = x + \alpha \mod 1$ for irrational $\alpha$

Reference request for the gimbal lock from a topological perspective

Making a coordinate system slide around a parabola in order to ( hopefully) make a parabola slide on its fixed coordinate system.

How to reverse Euler rotation?

How to reverse Euler rotation without reverting Euler rotation order?

Compute the differential map of $\exp(sX): \mathbb R^3\to\mathbb R^3$ where $X$ is an element of $\mathfrak s\mathfrak o(3)$

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