Algorithm 1 Algorithm for 3D-to-2D hand projection.

Input: 3D finger joint positions J

Input: 3D wrist position W

1: compute $J=J-W$

2: for i each column do

3:  for j each joint do

4:   compute rotation of $J\left[i\right]\left[j\right](X^{\prime },Y^{\prime },Z^{\prime })$

5:   compute projection of $J\left[i\right]\left[j\right](X^{\prime },Y^{\prime },Z^{\prime })⟶J\left[i\right]\left[j\right](X^{″},Z^{″})$

6:  end for

7: end for