Confusion about density calculation

[daisyranc]

Thank you for your excellent work!!

After reading your paper and code, I'm confused about density calculation. I have tested on my own data. I found that the density calculated by your code may be different from the density I observed.

Here are the details of my test experiments:

I randomly sample one point cloud (bunny) from 200000 to 100 (this is the sample number list: [200000,100000,50000,10000,5000,1000,500,100]), and calculate the density for each sampled point cloud. I think the density will be smaller and smaller as the point numbers become smaller and smaller. However, here are my results:

point number:200000 density:0.40053454 point number:100000 density:0.40531346 point number:10000 density:0.39948502 point number:5000 density:0.4131956 point number:1000 density:0.41057622 point number:500 density:0.4307725 point number:100 density:0.4311616

Could you give more explanation about the KDE you used in your paper? Thank you so much!!

[daisyranc]

I used the mean value of all points' densities to represent point cloud density here.