ViewControl's parameters to matrix transformation

From the GUI, I obtain the ViewControl’s parameters such as I obtain a nice bird view from the scene (view from the top):

  • front
  • lookAt
  • up
  • zoom

I would like to transform my point cloud such as it is aligned with this view. I guess a transformation should exist between these parameters and the transformation matrix, but I am not familiar enough with this terminology.

Thanks for your guidance