Hi. I'm looking into implementing light clustering and culling in my renderer. To get the cluster depth slice for a given pixel, you need to linearise gl_fragCoord.z before plugging it into one of the functions mentioned here (interactively shown here).

This linearisation function written by the above author is here and I've graphed it here. When gl_fragCoord.z is 0 it equals zNear and when it is 1 it equals zFar.

The problem is that I'm using an infinite Z perspective matrix (as mentioned here) and don't have a far plane, so it's not possible for me to write a linearisation function like this. Any ideas of what I can do instead?

I'm working on a wireframe renderer for learning purposes. One point of confusion is the perspective matrix. I could just divide X and Y by Z, but I am using the OpenGL pipeline as a guide so I am dividing the XYZ components by W after assigning Z to W using a perspective matrix. The matrix I am using is basically the same as the simple one here. The question I have is what is the use of having a non-zero coefficient in the Z column if only W is used in the end? For my use, only the -1 coefficient in Z-th index of the W column matters, and in practice that and the last index of the W column are the only two that are useful by giving a way put a mixture of the previous W=1 and Z into W.

The matrices that are described do a lot of scaling to Z, so where is Z used further down the pipeline after perspective divide, does it involve clipping? It might be my simple implementation, but I have no use for Z after applying the perspective matrix, and even that step is a little formal since I am only using W to divide by Z.

Thanks for any info

I am trying to make a 3 Dimensional Graph between variables "x, y and w", and color this graph according to values of "z" :

library(plotly)
library(dplyr)
X <- seq(0,3.1,0.1)
Y <- seq(0,3.1,0.1)
W <- seq(0,3.1,0.1)
DF <- expand.grid(X,Y, W)

#Compute variable for colors
DF$Z <- sin(DF$Var1) + cos(DF$Var2) + sin(DF$Var3)

#make a matrix of color values
Mat <- matrix(DF$Z,nrow = 32)

#make a matrix for z values
#had real data.
Mat2 <- matrix(rep(c(1:16,16:1),32),nrow=32)

plot_ly(y=~Y,x=X,  z=~W) %>%  
  add_surface(surfacecolor=~Mat)

But this produces an error:

Error: `z` must be a numeric matrix

Can anyone please show me how to fix this problem?

Thanks

T I M E S T A M P

 

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