Question

Why are there two different (left) Jacobian definitions of SO(3) and what are the differences?

score 278 · Answer 1 · 2023-03-07 22:42:31

278

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Why are there two different (left) Jacobian definitions of SO(3) and what are the differences?

Published on 07 Mar 2023 - 22:42

score 22 · Answer 2 · 2023-04-09 15:49:47

22

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six orthogonal vectors as the displacements resulted from applying rigid transformations (three translations & three rotations) to a set of points

Published on 09 Apr 2023 - 15:49

score 125 · Answer 3 · 2026-02-23 06:37:55

125

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How to find the relationship between the quaternion rate and angular velocity?

Published on 23 Feb 2026 - 6:37

score 49 · Answer 4 · 2023-07-27 14:46:35

49

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Published on 27 Jul 2023 - 14:46

score 49 · Answer 5 · 2023-08-04 22:30:29

49

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score 51 · Answer 6 · 2023-08-21 19:17:58

51

Views

Constructing transformation of an extended spherical movement

Published on 21 Aug 2023 - 19:17

score 23 · Answer 7 · 2023-08-29 15:08:43

23

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Rigid transformation and similarity transformation in MLS

Published on 29 Aug 2023 - 15:08

score 75 · Answer 8 · 2023-09-21 20:13:15

75

Views

How to prove that rigid bodies have fixed areas during their movements?

Published on 21 Sep 2023 - 20:13

score 35 · Answer 9 · 2023-10-31 10:33:22

35

Views

Rotate a frame by the given theta about an axis of another frame

Published on 31 Oct 2023 - 10:33

score 33 · Answer 10 · 2026-02-23 08:25:57

33

Views

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Published on 23 Feb 2026 - 8:25

score 266 · Answer 11 · 2023-11-26 16:00:00

266

Views

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Published on 26 Nov 2023 - 16:00

score 31 · Answer 12 · 2023-11-30 17:52:56

31

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IMU frame to body frame

Published on 30 Nov 2023 - 17:52

score 1.4k · Answer 13 · 2015-04-01 17:14:00

1.4k

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Second derivatives of rotations

Published on 01 Apr 2015 - 17:14

score 82 · Answer 14 · 2015-04-08 05:18:33

82

Views

Let $A,B,C$ be the vertices of a triangle. Find the center of the rotations. $R_{C,\pi} \circ R_{A,\frac{\pi}{2}}$

Published on 08 Apr 2015 - 5:18

score 1.9k · Answer 15 · 2015-04-11 04:17:16

1.9k

Views

How to translate a vector and then rotate by a point

Published on 11 Apr 2015 - 4:17

List Question

Why are there two different (left) Jacobian definitions of SO(3) and what are the differences?

six orthogonal vectors as the displacements resulted from applying rigid transformations (three translations & three rotations) to a set of points

How to find the relationship between the quaternion rate and angular velocity?

Aligning a rigid body's two axes to screen axes

Quaternion kinematics transition matrix closed form

Constructing transformation of an extended spherical movement

Rigid transformation and similarity transformation in MLS

How to prove that rigid bodies have fixed areas during their movements?

Rotate a frame by the given theta about an axis of another frame

Closest rigid-body pose and velocity along a screw motion to a given pose

Finding the missing centre or vertex of a projected rectangle.

IMU frame to body frame

Second derivatives of rotations

Let $A,B,C$ be the vertices of a triangle. Find the center of the rotations. $R_{C,\pi} \circ R_{A,\frac{\pi}{2}}$

How to translate a vector and then rotate by a point

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