Basic program to get 2d Projection

script.py

import numpy as np
import matplotlib.pyplot as plt
import json

with open("/path/to/state.txt") as f:
    bookmarks = json.load(f)

bookmark = bookmarks[0]  # We'll look at the first bookmark

eye = np.array(bookmark["cameraDef"]["position"])
at = np.array(bookmark["cameraDef"]["target"])
up = np.array([0, 1, 0])

zaxis = at - eye
zaxis = zaxis / np.linalg.norm(zaxis)
xaxis = np.cross(zaxis, up)
xaxis = xaxis / np.linalg.norm(xaxis)
yaxis = np.cross(xaxis, zaxis)

zaxis = -zaxis

viewMatrix = np.matrix(
    [
        [xaxis[0], xaxis[1], xaxis[2], -xaxis.dot(eye)],
        [yaxis[0], yaxis[1], yaxis[2], -yaxis.dot(eye)],
        [zaxis[0], zaxis[1], zaxis[2], -zaxis.dot(eye)],
        [0, 0, 0, 1],
    ]
)

x = []
y = []
z = []
for point in bookmark["projections"]:
    cameraCoordinates = (
        viewMatrix
        * np.matrix([[point["pca-0"]], [point["pca-1"]], [point["pca-2"]], [1]])
    ).tolist()
    x.append((cameraCoordinates[0][0] / cameraCoordinates[3][0]))
    y.append((cameraCoordinates[1][0] / cameraCoordinates[3][0]))
    z.append((cameraCoordinates[2][0] / cameraCoordinates[3][0]))

plt.style.use("seaborn-whitegrid")
plt.scatter(x, y, c=z, cmap="RdYlGn")
plt.show()