# Plotting voxels in R

Voxels are like 3d pixels and useful for various visualization tasks. I had some neuron-voxel data I wanted to plot. I also wanted this plot to be interactive such that I could freely rotate and zoom it to get a better sense of what was going on. The following MWE achieves this:

```library(rgl)

#Generate a random set of voxel coordinates
data<-expand.grid(1:4,1:4,1:4)
data<-data[sample(nrow(data),20,replace=FALSE),]

#Generate random values
data\$v<-runif(20)

#Give everything pretty names
colnames(data)<-c('x','y','z','v')

cols<-heat.colors(100)

#We now have data of the form x,y,z,value

#Clear the display in case there's something else on it
rgl.clear()

#Set background colour
bg3d('white')

for(j in 1:nrow(data)){                      #For each voxel
#Values are in range [0,1]. Multiply be len(cols) to get colour of cube
col<-ceiling(length(cols)*data\$v[j])
#Createa a voxel
cubit = cube3d(color=col, alpha=0.3)
#cubit\$vb is a 4 by n matrix of vertices in homogeneous coordinates. Each column is a point.
#Cube is originally 2x2x2. We shrink it to a 1x1x1 cube in the positive octant.
cubit\$vb[cubit\$vb == -1] = 0
cubit\$vb[1,]      = cubit\$vb[1,]+data\$x[j] #Add x to first row
cubit\$vb[2,]      = cubit\$vb[2,]+data\$y[j] #Add y to second row
cubit\$vb[3,]      = cubit\$vb[3,]+data\$z[j] #Add z to third row