What matrix to use for projective transformation?

Question

Java

There is a certain geometric figure in three-dimensional space, given by a matrix. You need to project it and draw it. As I understand it, this is called a projective transformation? For example, cube:
double[][] src =new double[][]{
{100,100,100,1},
{100,100,300,1},
{100,300,300,1},
{100,300,100,1},
{300,100,100,1},
{300,100,300 ,1},
{300,300,300,1},
{300,300,100,1}
};
While I tried to multiply each point (vector) by just such a matrix, but apparently this is not correct.
{1, 0, 0, 0},
{0, 1, 0, 0},
{0, 0, 1, r},
{0, 0, 1, 0}};

Answer 1

habr knows :) though, there is only 2d)