Divergence free vector field example
- \(a(p)=\left\{ \begin{array}{rl}a_0(p) & \|p\| < r_1 \\ (1-\alpha(p))\,a_0(p) & r_1\leq \|p\|\leq r_2 \\ 0 & otherwise \end{array} \right.\)
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- Translation: \(a_0(p)=v_1 \cdot (p-p_0)\), \(b_0(p)=v_2 \cdot (p-p_0)\)
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- \(v_1,v_2\) arbitrary orthogonal unit vector to the direction of translation.
- Bending: \(a_0(p)= a \cdot (p-p_0) \), \(b_0=\|a \times (p-p_0)\|^2\)
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