Pinhole FOV Projection

Problem

Project a camera-space point with a pinhole model given the horizontal field of view.

The focal length in pixels is f = (width / 2) / tan(fov_deg / 2) and the principal point is the image center. Return [f * X / Z + width / 2, f * Y / Z + height / 2] rounded to 4 decimal places.

Hint

At 90 degrees the half-width equals the focal length in pixels.

Test cases

case 1

in: [[0,0,2],90,640,480]

expected: [320,240]

case 2

in: [[1,0,2],90,640,480]

expected: [480,240]

case 3

in: [[0,0,1],60,100,100]

expected: [50,50]

case 4

in: [[0,1,1],90,200,100]

expected: [100,150]

Starter codePython

def pinhole_fov_project(point, fov_deg, width, height):
    # Your code here
    pass

4 test cases · run your code against them in the editor