image generation from 3d points

Hi!
How can I create an image from 3D points in java ?
For example : I have two "pixels" :
A={5,5,5} and its color is red.
B={7,3,1} and its color is blue.

I want to generate a image like if I am watching my points from a specific point with a specified angle and direction.
What must I use to do it ? And how can I do it ?
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