Suppose $\mathbf{c}(\theta)$ is a known parametric circular curve in $\mathbb{R}^3$.
How could we go about solving the following for $\theta$?
$$(\mathbf{x}-A\mathbf{c}(\theta))^TBA\mathbf{c}'(\theta)=0$$
where
- $B=(I-\frac{1_{4\times4}D}{Tr(D)})^TD$
- $D\in\mathbb{R}^{4\times4}$ is a diagonal matrix
- $1_{4\times4}$ is a matrix with all elements equal to 1.
- $A=\begin{bmatrix}-1&-1&-1\\1&-1&-1\\1&1&-1\\1&1&1\end{bmatrix}$