from jaxtyping import Float
from torch import Tensor



def render_point_cloud(
    vertices: Float[Tensor, "vertex 3"],
    extrinsics: Float[Tensor, "batch 4 4"],
    intrinsics: Float[Tensor, "batch 3 3"],
    resolution: tuple[int, int] = (256, 256),
) -> Float[Tensor, "batch height width"]:
    """Create a white canvas with the specified resolution. Then, transform the points
    into camera space, project them onto the image plane, and color the corresponding
    pixels on the canvas black.
    """

    raise NotImplementedError("This is your homework.")