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Damien's user avatar
Damien
  • Member for 13 years
  • Last seen more than a week ago
6 votes
7 answers
9k views

Numerically Efficient Approximation of cos(s)

1 vote
1 answer
62 views

Determining a family of Solutions to an underconstrained Modified Wahba's Problem, $J = \sum_{i=1}^{N} \frac{1}{2} \|a_i - RQR^Tb_i \|^2$

12 votes
3 answers
7k views

Efficient and Accurate Numerical Implementation of the Inverse Rodrigues Rotation Formula (Rotation Matrix -> Axis-Angle)

1 vote
3 answers
73 views

Finding multiple solutions to $a = Ra$ with Symmetric Orthogonal $R \in SO(3), R = R^T$ and $a \in Re(3)$

1 vote
0 answers
26 views

For $\mathbf{v}^b = \mathbf{R}_a^b \mathbf{v}^a, \mathbf{v} \in \mathbb{R}^3, \mathbf{R} \in SO(3)$ what properties must $\mathbf{R}$ have?

1 vote
1 answer
110 views

Is there an elegant way to solve $b = R\left(\theta \hat{u} \right) a$ where $a, b \in \mathbb{R}^3; R \in SO(3)$ for $\hat{u}$

20 votes
1 answer
4k views

Under what circumstance will a covariance matrix be positive semi-definite rather than positive definite?

8 votes
3 answers
8k views

Numerically stable extraction of Axis-Angle from Unit Quaternion

10 votes
2 answers
8k views

2D analog to Unit Quaternions for Rotation

0 votes
0 answers
154 views

What is the equivalent of "Givens Rotations" for Unit Quaternions?

1 vote
1 answer
1k views

Cholesky factorisation: $P = LL^T = R^TR$ vs $P = UU^T = L'^TL'$

25 votes
6 answers
6k views

Getting started with Lie Groups

1 vote
0 answers
65 views

In which quadrant of the circle does the angle of $90^\circ$ lie?

0 votes
0 answers
792 views

Solving the Rotation Differential Equation when the reference frame itself is rotating

5 votes
1 answer
3k views

What is the Singular Value Decomposition for the Zero Matrix?

1 vote
1 answer
1k views

Numerical derivative of sensor data in the presence of noise

5 votes
3 answers
3k views

Finding the Similarity Transform of a rotation matrix

0 votes
1 answer
192 views

Planes, quadric surfaces and then ...?

5 votes
1 answer
2k views

Finding the Transformation to a Canonical form for a Quadric Surface