import cv2
import math
import numpy as np

class Img:
    def __init__(self,image,rows,cols,center=[0,0]):
        self.src=image #原始图像
        self.rows=rows #原始图像的行
        self.cols=cols #原始图像的列
        self.center=center #旋转中心，默认是[0,0]

    def Move(self,delta_x,delta_y):      #平移
        #delta_x>0左移，delta_x<0右移
        #delta_y>0上移，delta_y<0下移
        self.transform=np.array([[1,0,delta_x],[0,1,delta_y],[0,0,1]])

    def Zoom(self,factor):               #缩放
        #factor>1表示缩小；factor<1表示放大
        self.transform=np.array([[factor,0,0],[0,factor,0],[0,0,1]])

    def Horizontal(self):                #水平镜像
        self.transform=np.array([[1,0,0],[0,-1,self.cols-1],[0,0,1]])

    def Vertically(self):                #垂直镜像
        self.transform=np.array([[-1,0,self.rows-1],[0,1,0],[0,0,1]])

    def Rotate(self,beta):               #旋转
        #beta>0表示逆时针旋转；beta<0表示顺时针旋转
        self.transform=np.array([[math.cos(beta),-math.sin(beta),0],
                                 [math.sin(beta), math.cos(beta),0],
                                 [    0,              0,         1]])

    def Process(self):
        self.dst=np.zeros((self.rows,self.cols),dtype=np.uint8)
        for i in range(self.rows):
            for j in range(self.cols):
                src_pos=np.array([i-self.center[0],j-self.center[1],1])
                [x,y,z]=np.dot(self.transform,src_pos)
                x=int(x)+self.center[0]
                y=int(y)+self.center[1]

                if x>=self.rows or y>=self.cols or x<0 or y<0:
                    self.dst[i][j]=255
                else:
                    self.dst[i][j]=self.src[x][y]

if __name__==‘__main__‘:
    src=cv2.imread(‘.\jay.bmp‘,0)
    rows = src.shape[0]
    cols = src.shape[1]
    cv2.imshow(‘src‘, src)

    img=Img(src,rows,cols,[248,231])
    img.Vertically() #镜像
    img.Process()
    ‘‘‘
    img.Rotate(-math.radians(30)) #旋转
    img.Process()
    img.Move(-50,-50) #平移
    img.Process()
    img.Zoom(0.5) #缩放
    img.Process()
    ‘‘‘
    cv2.imshow(‘dst‘, img.dst)
    cv2.waitKey(0)

import cv2
import math
import numpy as np
def XRotate(image, angle):
    h, w = image.shape
    anglePi = angle * math.pi / 180.0
    cosA = math.cos(anglePi)
    sinA = math.sin(anglePi)
    X1 = math.ceil(abs(0.5 * h * cosA + 0.5 * w * sinA))
    X2 = math.ceil(abs(0.5 * h * cosA - 0.5 * w * sinA))
    Y1 = math.ceil(abs(-0.5 * h * sinA + 0.5 * w * cosA))
    Y2 = math.ceil(abs(-0.5 * h * sinA - 0.5 * w * cosA))
    hh = int(2 * max(Y1, Y2))
    ww = int(2 * max(X1, X2))
    emptyImage2 = np.zeros((hh, ww), np.uint8)
    for i in range(hh):
        for j in range(ww):
            x = cosA * i + sinA * j - 0.5 * ww * cosA - 0.5 * hh * sinA + 0.5 * w
            y =  cosA * j- sinA * i+ 0.5 * ww * sinA - 0.5 * hh * cosA + 0.5 * h
            x = int(x)
            y = int(y)
            if x > -1 and x < h and y > -1 and y < w :
 
                emptyImage2[i, j] = image[x, y]*255
 
    return emptyImage2
 
 
# image = cv2.imread("e:\\lena.bmp")
iXRotate12 = XRotate(img[:,:,1], 30)
cv2.imshow(‘image‘, img)
cv2.imshow(‘iXRotate12‘, iXRotate12)
cv2.waitKey(0)