Midpoint Circle Draw
Answer: The midpoint circle drawing algorithm helps us to calculate the complete perimeter points of a circle for the first octant. We can quickly find and calculate the points of other octants with the help of the first octant points. The remaining points are the mirror reflection of the first octant points.
This algorithm is used in computer graphics to define the coordinates needed for rasterizing the circle. The midpoint circle drawing algorithm helps us to perform the generalization of conic sections. Bresenham’s circle drawing algorithm is also extracted from the midpoint circle drawing algorithm.
2. What is the 8-symmetry points?
Answer: A circle is a geometric figure which is round, and can be divided into 360 degrees. A circle is a symmetrical figure which follows 8-way symmetry.
8-Way symmetry: Any circle follows 8-way symmetry. This means that for every point (x,y) 8 points can be plotted. These
(x,y)
(y,x)
(-y,x)
(-x,y)
(-x,-y)
(-y,-x)
(y,-x)
(x,-y)
algorithm loops over one-eighth of the circle from the top to the right by 45 degrees.
The following routine takes advantage of this 8-way symmetry. The algorithm loops over one-eighth of the circle. Specifically, it starts at the top of the circle and goes to the right by 45 degrees, where the slope of a radial line is 1. Thus, the stopping state is crossing the x=y line.
8 points for every function evaluation routine should be approximately 4-times faster than our initial circle-drawing algorithm.
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