在Python中对角镜像图像

Question

我正在上一个关于Python的编程课，我们在学习如何通过定义一个镜像点来镜像图像，然后使用嵌套的for循环把一个边的像素复制到另一边。比如，垂直镜像一张图像可以用下面的代码：

def mirrorVertical(source):
 mirrorPoint = getWidth(source) / 2
 width = getWidth(source)
 for y in range(0,getHeight(source)):
   for x in range(0,mirrorPoint):
     leftPixel = getPixel(source,x,y)
     rightPixel = getPixel(source,width - x - 1,y)
     color = getColor(leftPixel)
     setColor(rightPixel,color)

现在我在做一个作业，题目是让我们把图像对角镜像，也就是说把左上角的部分反射到右下角。我找到的所有例子和答案都只适用于正方形的图像，但我需要能对任何图像都适用，最好是通过定义一个对角镜像点来实现。我尝试用y = mx + b这样的方程来定义镜像点，但我不知道怎么告诉Python把它变成一条线。任何不针对正方形图像的帮助都非常感谢！

注意：因为我刚来这里，所以还不能发图片，但这个对角镜像点是从左下角到右上角的。左上角三角形的图像会被反射到右下角。

Answer 1

我猜你是想沿着45度的线进行镜像，而不是沿着矩形的对角线。

你需要创建一张新图片，这张新图片的宽度要和原图的高度一样，而高度要和原图的宽度一样。

如果你的坐标系统的原点在左下角，那么就把原图中点 (x, y) 复制到新图中的 (y, x) 位置。如果原点在其他角落，你可能需要多想一下哦；)

Answer 2

这里分享一种对角线镜像的方法，具体是从左下角到右上角：

学生可以根据需要调整，如果他想要从“右上角到左下角”镜像，或者使用相反的对角线。

# !! Works only with squared pictures... !!
def diagMirrorPicture(picture):
    height = getHeight(picture)
    width = getWidth(picture)

    if (height != width):
        printNow("Error: The input image is not squared. Found [" + \
                                     str(width) + " x " + str(height) + "] !")
        return None

    newPicture = makeEmptyPicture(width, height)

    mirrorPt = 0
    for x in range(0, width, 1):
        for y in range(mirrorPt, height, 1):
            sourcePixel = getPixel(picture, x, y)
            color = getColor(sourcePixel)

            # Copy bottom-left as is
            targetPixel = getPixel(newPicture, x, y)
            setColor(targetPixel, color)

            # Mirror bottom-left to top right
            targetPixel = getPixel(newPicture, y, x)
            #                                  ^^^^  (simply invert x and y)
            setColor(targetPixel, color)

        # Here we shift the mirror point
        mirrorPt += 1

    return newPicture


file = pickAFile()
picture = makePicture(file)

picture = diagMirrorPicture(picture)

if (picture):
    writePictureTo(picture, "/home/mirror-diag2.png")
    show(picture)

注意：这就像是对每一行像素独立进行垂直镜像，沿着通过mirrorPt点的垂直轴进行操作。

输出（画作来自安东尼·塔比埃斯）：

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以下内容是实验性的，仅供娱乐...

# Draw point, with check if the point is in the image area
def drawPoint(pic, col, x, y):
   if (x >= 0) and (x < getWidth(pic)) and (y >= 0) and (y < getHeight(pic)):
     px = getPixel(pic, x, y)
     setColor(px, col)

# Draw line segment given two points
# From Bresenham's line algorithm :
# http://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm
def drawLine(pic, col, x0, y0, x1, y1):

   dx = abs(x1-x0)
   dy = abs(y1-y0) 
   sx = sy = 0

   #sx = 1 if x0 < x1 else -1
   #sy = 1 if y0 < y1 else -1

   if (x0 < x1): 
     sx = 1 
   else: 
     sx = -1
   if (y0 < y1):
     sy = 1 
   else: 
     sy = -1

   err = dx - dy

   while (True):

     drawPoint(pic, col, x0, y0)

     if (x0 == x1) and (y0 == y1): 
       break

     e2 = 2 * err
     if (e2 > -dy):
       err = err - dy
       x0 = x0 + sx

     if (x0 == x1) and (y0 == y1):
       drawPoint(pic, col, x0, y0)
       break

     if (e2 <  dx):
       err = err + dx
       y0 = y0 + sy 


# Works only with squared cropped areas :
# i.e. in [(x0, y0), (x1, y1)], abs(x1-x0) must be equal to abs(y1-y0)
#
# USAGE :
#    * To get bottom reflected to top use x0 > x1 
#    * To get top reflected to bottom use x0 < x1 

def diagCropAndMirrorPicture(pic, startPt, endPt):
    w = getWidth(pic)
    h = getHeight(pic)

    if (startPt[0] < 0) or (startPt[0] >= w) or \
       (startPt[1] < 0) or (startPt[1] >= h) or \
       (endPt[0] < 0) or (endPt[0] >= w) or \
       (endPt[1] < 0) or (endPt[1] >= h):
          printNow("Error: The input points must be in the image range !")
          return None

    new_w = abs(startPt[0] - endPt[0])
    new_h = abs(startPt[1] - endPt[1])

    if (new_w != new_h):
          printNow("Error: The input points do not form a square !")
          return None

    printNow("Given: (" + str(startPt[0]) + ", " + str(endPt[0]) + ") and (" \
                        + str(startPt[1]) + ", " + str(endPt[1]) + ")")

    newPicture = makeEmptyPicture(new_w, new_h)

    if (startPt[0] < endPt[0]):
        offsetX = startPt[0]
        switchX = False
        switchTB = True
    else:
        offsetX = endPt[0]
        switchX = True
        switchTB = False

    if (startPt[1] < endPt[1]):
        offsetY = startPt[1]
        switchY = False
    else:
        offsetY = endPt[1]
        switchY = True

    # (switchX  XOR  switchY)
    changeDiag = (switchX != switchY)

    mirror_pt = 0
    for x in range(0, new_w, 1):

        for y in range(mirror_pt, new_h, 1):
        #for y in range(0, new_h, 1):

            oldX = x
            oldY = y


            if (switchTB):
                sourcePixel = getPixel(picture, offsetX+new_w-1- oldX, offsetY+new_h-1- oldY)
            else:
                sourcePixel = getPixel(picture, offsetX+oldX, offsetY+oldY)
            color = getColor(sourcePixel)

            if (changeDiag):
                newX = new_w-1 - x
                newY = new_h-1 - y
                #printNow("Change Diag !")
            else:
                newX = x
                newY = y

            # Copied half
            if (switchTB):
                targetPixel = getPixel(newPicture, new_w-1- x, new_h-1- y)
            else:
                targetPixel = getPixel(newPicture, x, y)
            setColor(targetPixel, color)

            # Mirror half (simply invert x and y)
            if (switchTB):
                targetPixel = getPixel(newPicture, new_h-1- newY, new_w-1- newX)
            else:
                targetPixel = getPixel(newPicture, newY, newX)
            setColor(targetPixel, color)


        # Here we shift the mirror point
        if (not changeDiag):
            mirror_pt += 1


    return newPicture


file = pickAFile()
pic = makePicture(file)
picture = makePicture(file)

# Draw working area
drawLine(pic, white, 30, 60, 150, 180)
drawLine(pic, white, 30, 180, 150, 60)
drawLine(pic, black, 30, 60, 30, 180)
drawLine(pic, black, 30, 60, 150, 60)
drawLine(pic, black, 150, 60, 150, 180)
drawLine(pic, black, 30, 180, 150, 180)
show(pic)
writePictureTo(pic, "D:\\pic.png")

# Build cropped and mirrored areas
pic1 = diagCropAndMirrorPicture(picture, (150, 60), (30, 180))
pic2 = diagCropAndMirrorPicture(picture, (30, 180), (150, 60))
pic3 = diagCropAndMirrorPicture(picture, (150, 180), (30, 60))
pic4 = diagCropAndMirrorPicture(picture, (30, 60), (150, 180))

# Show cropped and mirrored areas
if (pic1):
    writePictureTo(pic1, "D:\\pic1.png")
    show(pic1)

if (pic2):
    writePictureTo(pic2, "D:\\pic2.png")
    show(pic2)

if (pic3):
    writePictureTo(pic3, "D:\\pic3.png")
    show(pic3)

if (pic4):
    writePictureTo(pic4, "D:\\pic4.png")
    show(pic4)

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Answer 3

你可以这样交换一个非方形数组的左上角和右下角：

height = getHeight(source)
width = getWidth(source)
for i in range(height - 1):
    for j in range(int(width * float(height - i) / height)):
        # Swap pixel i,j with j,i

这个方法适用于沿对角线进行镜像。你似乎暗示你可能想要沿某个任意位置进行镜像。在这种情况下，你需要决定如何填充那些在镜像线另一侧没有对应像素的地方。

你提到你在做一个作业，所以你可能需要明确写出循环的部分，但要注意，如果你把数据放进一个numpy数组里，你可以通过结合使用numpy的函数 fliplr（左右翻转）、flipud（上下翻转）和 transpose（转置），轻松且高效地实现你想要的效果。

另外，在你的代码示例中（左右镜像），你是把左边的像素复制到右边，但没有反过来做，所以实际上并没有真正镜像这个图像。