Added Burkes dithering algorithm. (TheAlgorithms#1916)

* Added Burkes dithering algorithm

* Added unit tests for burkes algorithm

* Fix burkes algorithm

* Added some additional information

* Fixed CI tests

* Update digital_image_processing/dithering/burkes.py

Co-Authored-By: Christian Clauss <[email protected]>

* Update digital_image_processing/dithering/burkes.py

Co-Authored-By: Christian Clauss <[email protected]>

* Update digital_image_processing/dithering/burkes.py

Co-Authored-By: Christian Clauss <[email protected]>

* Propogate the += and add a doctest

* Fix doctest

* @staticmethod --> @ classmethod to ease testing

* def test_burkes(file_path):

* Fix for mypy checks

* Fix variable order in get_greyscale

* Fix get_greyscale method

* Fix get_greyscale method

* 3.753

Co-authored-by: Christian Clauss <[email protected]>

digital_image_processing/dithering/burkes.py

@@ -0,0 +1,87 @@
+"""
+Implementation Burke's algorithm (dithering)
+"""
+from cv2 import destroyAllWindows, imread, imshow, waitKey
+import numpy as np
+
+
+class Burkes:
+    """
+    Burke's algorithm is using for converting grayscale image to black and white version
+    Source: Source: https://en.wikipedia.org/wiki/Dither
+
+    Note:
+        * Best results are given with threshold= ~1/2 * max greyscale value.
+        * This implementation get RGB image and converts it to greyscale in runtime.
+    """
+
+    def __init__(self, input_img, threshold: int):
+        self.min_threshold = 0
+        # max greyscale value for #FFFFFF
+        self.max_threshold = int(self.get_greyscale(255, 255, 255))
+
+        if not self.min_threshold < threshold < self.max_threshold:
+            raise ValueError(f"Factor value should be from 0 to {self.max_threshold}")
+
+        self.input_img = input_img
+        self.threshold = threshold
+        self.width, self.height = self.input_img.shape[1], self.input_img.shape[0]
+
+        # error table size (+4 columns and +1 row) greater than input image because of
+        # lack of if statements
+        self.error_table = [
+            [0 for _ in range(self.height + 4)] for __ in range(self.width + 1)
+        ]
+        self.output_img = np.ones((self.width, self.height, 3), np.uint8) * 255
+
+    @classmethod
+    def get_greyscale(cls, blue: int, green: int, red: int) -> float:
+        """
+        >>> Burkes.get_greyscale(3, 4, 5)
+        3.753
+        """
+        return 0.114 * blue + 0.587 * green + 0.2126 * red
+
+    def process(self) -> None:
+        for y in range(self.height):
+            for x in range(self.width):
+                greyscale = int(self.get_greyscale(*self.input_img[y][x]))
+                if self.threshold > greyscale + self.error_table[y][x]:
+                    self.output_img[y][x] = (0, 0, 0)
+                    current_error = greyscale + self.error_table[x][y]
+                else:
+                    self.output_img[y][x] = (255, 255, 255)
+                    current_error = greyscale + self.error_table[x][y] - 255
+                """
+                Burkes error propagation (`*` is current pixel):
+                
+                                 *	    8/32	4/32
+                2/32	4/32	8/32	4/32	2/32
+                """
+                self.error_table[y][x + 1] += int(8 / 32 * current_error)
+                self.error_table[y][x + 2] += int(4 / 32 * current_error)
+                self.error_table[y + 1][x] += int(8 / 32 * current_error)
+                self.error_table[y + 1][x + 1] += int(4 / 32 * current_error)
+                self.error_table[y + 1][x + 2] += int(2 / 32 * current_error)
+                self.error_table[y + 1][x - 1] += int(4 / 32 * current_error)
+                self.error_table[y + 1][x - 2] += int(2 / 32 * current_error)
+
+
+if __name__ == "__main__":
+    # create Burke's instances with original images in greyscale
+    burkes_instances = [
+        Burkes(imread("image_data/lena.jpg", 1), threshold)
+        for threshold in (1, 126, 130, 140)
+    ]
+
+    for burkes in burkes_instances:
+        burkes.process()
+
+    for burkes in burkes_instances:
+        imshow(
+            f"Original image with dithering threshold: {burkes.threshold}",
+            burkes.output_img,
+        )
+
+    waitKey(0)
+    destroyAllWindows()

digital_image_processing/test_digital_image_processing.py

@@ -10,13 +10,15 @@
 import digital_image_processing.change_contrast as cc
 import digital_image_processing.convert_to_negative as cn
 import digital_image_processing.sepia as sp
+import digital_image_processing.dithering.burkes as bs
 from cv2 import imread, cvtColor, COLOR_BGR2GRAY
 from numpy import array, uint8
 from PIL import Image
 
 img = imread(r"digital_image_processing/image_data/lena_small.jpg")
 gray = cvtColor(img, COLOR_BGR2GRAY)
 
+
 # Test: convert_to_negative()
 def test_convert_to_negative():
     negative_img = cn.convert_to_negative(img)
@@ -74,3 +76,9 @@ def test_sobel_filter():
 def test_sepia():
     sepia = sp.make_sepia(img, 20)
     assert sepia.all()
+
+
+def test_burkes(file_path: str="digital_image_processing/image_data/lena_small.jpg"):
+    burkes = bs.Burkes(imread(file_path, 1), 120)
+    burkes.process()
+    assert burkes.output_img.any()