Formulation of the cylindrical volume

[Codefmeister]

Thanks for your great work, especially for the convertion to the cylindrical volume.
But I was confused when reading about the convertion from spherical voxels to cylindrical volume.
$\mathbf{C} \in \mathbb{R}^{J \times K \times L \times k_{v} \times 3}$
So my question is:

1. What does the $k_{v}$ in formulation mean?
2. Could you explain why the cylindrical volume should be $\mathbf{C} \in \mathbb{R}^{J \times K \times L \times k_{v} \times 3}$? Especially why it times 3 and k_{v}?

[Codefmeister]

Thanks in advance.

[aosheng1996]

Hi, @Codefmeister, thanks for your interest in our work!

1. In the Spherical Voxelization of Section 3.2, is defined as the number of points in each voxel.
2. Each voxel within the cylindrical volume contains a fixed number of points.

best,
Sheng