import cv2
import numpy as np
import matplotlib.pyplot as plt


# Affine
def affine(img, a, b, c, d, tx, ty):
  	H, W, C = img.shape

	# temporary image
	img = np.zeros((H+2, W+2, C), dtype=np.float32)
	img[1:H+1, 1:W+1] = _img

	# get new image shape
	H_new = np.round(H * d).astype(np.int)
	W_new = np.round(W * a).astype(np.int)
	out = np.zeros((H_new+1, W_new+1, C), dtype=np.float32)

	# get position of new image
	x_new = np.tile(np.arange(W_new), (H_new, 1))
	y_new = np.arange(H_new).repeat(W_new).reshape(H_new, -1)

	# get position of original image by affine
	adbc = a * d - b * c
	x = np.round((d * x_new  - b * y_new) / adbc).astype(np.int) - tx + 1
	y = np.round((-c * x_new + a * y_new) / adbc).astype(np.int) - ty + 1

	x = np.minimum(np.maximum(x, 0), W+1).astype(np.int)
	y = np.minimum(np.maximum(y, 0), H+1).astype(np.int)

	# assgin pixcel to new image
	out[y_new, x_new] = img[y, x]

	out = out[:H_new, :W_new]
	out = out.astype(np.uint8)

	return out


# Read image
_img = cv2.imread("imori.jpg").astype(np.float32)

# Affine
out = affine(img, a=1.3, b=0, c=0, d=0.8, tx=30, ty=-30)


# Save result
cv2.imshow("result", out)
cv2.waitKey(0)
cv2.imwrite("out.jpg", out)
pythonを用いて、アフィン変換を用いて、(1)x方向に1.3倍、y方向に0.8倍にリサイズせよ。
また、(2)  (1)の条件に加えて、x方向に+30、y方向に-30だけ平行移動を同時に実現せよ。