Perspective transform a point given the transformation matrix.

point_perspective_transform.py

import cv2
import numpy as np


def point_perspective_transform(point, matrix):
    """
    Perspective transform a point given the transformation matrix
    :param point: [X, Y] point to be transformed
    :param matrix: 3x3 transformation matrix
    :return: [X, Y] transformed point
    """
    matrix = np.asanyarray(matrix)
    if matrix.shape != (3, 3):
        raise ValueError('matrix shape should be (3, 3)')
    x_temp = (matrix[0, 0] * point[0] + matrix[0, 1] * point[1] + matrix[0, 2]) / (
            matrix[2, 0] * point[0] + matrix[2, 1] * point[1] + matrix[2, 2])
    y_temp = (matrix[1, 0] * point[0] + matrix[1, 1] * point[1] + matrix[1, 2]) / (
            matrix[2, 0] * point[0] + matrix[2, 1] * point[1] + matrix[2, 2])
    return np.array([int(x_temp), int(y_temp)])