Bresenham’s Circle Algorithm

Sure, I can explain Bresenham’s Circle Algorithm step by step:

Bresenham’s Circle Algorithm is a circle drawing algorithm that selects the nearest pixel position at each step to approximate the exact mathematical circle. It is an incremental method.

Here are the steps:

1. Input radius r and center (h, k) of the circle.

2. Start from (0, r) and move in the first quadrant till x=y (i.e., 45 degrees)

3. For each x, calculate the next y and decide the next pixel with the decision parameter d.

4. The decision parameter d at any point (x, y) is given by: d = 3 - 2y if y > 0, d = 3 - 2x if x > y

5. If d < 0, then choose the East pixel, else choose the South East pixel.

6. Update decision parameter and repeat until x=y.

7. Since the circle is symmetric, the other 7 octants can be obtained by symmetry.

This algorithm is efficient because it uses only integer addition, subtraction and bit shifting, avoiding the need for floating point multiplication and division.