Question

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

score 281 · Answer 1 · 2026-04-12 21:43:19

281

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

Published on 12 Apr 2026 - 21:43

score 24 · Answer 2 · 2026-04-12 21:55:35

24

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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 12 Apr 2026 - 21:55

score 126 · Answer 3 · 2026-04-09 13:06:14

126

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

Published on 09 Apr 2026 - 13:06

score 52 · Answer 4 · 2026-04-13 08:57:19

52

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Aligning a rigid body's two axes to screen axes

Published on 13 Apr 2026 - 8:57

score 52 · Answer 5 · 2026-04-11 13:13:57

52

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Quaternion kinematics transition matrix closed form

Published on 11 Apr 2026 - 13:13

score 56 · Answer 6 · 2026-04-17 15:55:44

56

Views

Constructing transformation of an extended spherical movement

Published on 17 Apr 2026 - 15:55

score 26 · Answer 7 · 2026-04-08 19:34:05

26

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Rigid transformation and similarity transformation in MLS

Published on 08 Apr 2026 - 19:34

score 78 · Answer 8 · 2026-04-10 08:59:36

78

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

Published on 10 Apr 2026 - 8:59

score 38 · Answer 9 · 2026-04-16 03:03:31

38

Views

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

Published on 16 Apr 2026 - 3:03

score 34 · Answer 10 · 2026-04-11 09:17:13

34

Views

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

Published on 11 Apr 2026 - 9:17

score 271 · Answer 11 · 2026-04-17 11:10:23

271

Views

Finding the missing centre or vertex of a projected rectangle.

Published on 17 Apr 2026 - 11:10

score 35 · Answer 12 · 2026-04-16 08:32:55

35

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IMU frame to body frame

Published on 16 Apr 2026 - 8:32

score 1.4k · Answer 13 · 2026-04-16 07:58:49

1.4k

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Second derivatives of rotations

Published on 16 Apr 2026 - 7:58

score 85 · Answer 14 · 2026-04-14 19:46:31

85

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 14 Apr 2026 - 19:46

score 1.9k · Answer 15 · 2026-04-16 05:17:53

1.9k

Views

How to translate a vector and then rotate by a point

Published on 16 Apr 2026 - 5:17

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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