Arithmetic Operations on Images {#tutorial_py_image_arithmetics}
===============================

Goal
----

-   Learn several arithmetic operations on images like addition, subtraction, bitwise operations
    etc.
-   You will learn these functions : **cv2.add()**, **cv2.addWeighted()** etc.

Image Addition
--------------

You can add two images by OpenCV function, cv2.add() or simply by numpy operation,
res = img1 + img2. Both images should be of same depth and type, or second image can just be a
scalar value.

@note There is a difference between OpenCV addition and Numpy addition. OpenCV addition is a
saturated operation while Numpy addition is a modulo operation.

For example, consider below sample:
@code{.py}
>>> x = np.uint8([250])
>>> y = np.uint8([10])

>>> print cv2.add(x,y) # 250+10 = 260 => 255
[[255]]

>>> print x+y          # 250+10 = 260 % 256 = 4
[4]
@endcode
It will be more visible when you add two images. OpenCV function will provide a better result. So
always better stick to OpenCV functions.

Image Blending
--------------

This is also image addition, but different weights are given to images so that it gives a feeling of
blending or transparency. Images are added as per the equation below:

\f[g(x) = (1 - \alpha)f_{0}(x) + \alpha f_{1}(x)\f]

By varying \f$\alpha\f$ from \f$0 \rightarrow 1\f$, you can perform a cool transition between one image to
another.

Here I took two images to blend them together. First image is given a weight of 0.7 and second image
is given 0.3. cv2.addWeighted() applies following equation on the image.

\f[dst = \alpha \cdot img1 + \beta \cdot img2 + \gamma\f]

Here \f$\gamma\f$ is taken as zero.
@code{.py}
img1 = cv2.imread('ml.png')
img2 = cv2.imread('opencv_logo.jpg')

dst = cv2.addWeighted(img1,0.7,img2,0.3,0)

cv2.imshow('dst',dst)
cv2.waitKey(0)
cv2.destroyAllWindows()
@endcode
Check the result below:

![image](images/blending.jpg)

Bitwise Operations
------------------

This includes bitwise AND, OR, NOT and XOR operations. They will be highly useful while extracting
any part of the image (as we will see in coming chapters), defining and working with non-rectangular
ROI etc. Below we will see an example on how to change a particular region of an image.

I want to put OpenCV logo above an image. If I add two images, it will change color. If I blend it,
I get an transparent effect. But I want it to be opaque. If it was a rectangular region, I could use
ROI as we did in last chapter. But OpenCV logo is a not a rectangular shape. So you can do it with
bitwise operations as below:
@code{.py}
# Load two images
img1 = cv2.imread('messi5.jpg')
img2 = cv2.imread('opencv_logo.png')

# I want to put logo on top-left corner, So I create a ROI
rows,cols,channels = img2.shape
roi = img1[0:rows, 0:cols ]

# Now create a mask of logo and create its inverse mask also
img2gray = cv2.cvtColor(img2,cv2.COLOR_BGR2GRAY)
ret, mask = cv2.threshold(img2gray, 10, 255, cv2.THRESH_BINARY)
mask_inv = cv2.bitwise_not(mask)

# Now black-out the area of logo in ROI
img1_bg = cv2.bitwise_and(roi,roi,mask = mask_inv)

# Take only region of logo from logo image.
img2_fg = cv2.bitwise_and(img2,img2,mask = mask)

# Put logo in ROI and modify the main image
dst = cv2.add(img1_bg,img2_fg)
img1[0:rows, 0:cols ] = dst

cv2.imshow('res',img1)
cv2.waitKey(0)
cv2.destroyAllWindows()
@endcode
See the result below. Left image shows the mask we created. Right image shows the final result. For
more understanding, display all the intermediate images in the above code, especially img1_bg and
img2_fg.

![image](images/overlay.jpg)

Additional Resources
--------------------

Exercises
---------

-#  Create a slide show of images in a folder with smooth transition between images using
    cv2.addWeighted function
