4.4- Circle Drawing Algorithm In Computer Graphics- 8 Way Symmetry Of A Circle
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- čas přidán 28. 07. 2020
- 8 way symmetry of circle In Computer Graphics in Hindi
Drawing a circle on the screen is a little complex than drawing a line. There are two popular algorithms for generating a circle − Bresenham’s Algorithm and Midpoint Circle Algorithm. These algorithms are based on the idea of determining the subsequent points required to draw the circle. Let us discuss the algorithms in detail −
The equation of circle is X2+Y2=r2, where r is radius.
Circle Generation
Bresenham’s Algorithm
We cannot display a continuous arc on the raster display. Instead, we have to choose the nearest pixel position to complete the arc.
From the following illustration, you can see that we have put the pixel at (X, Y) location and now need to decide where to put the next pixel − at N (X+1, Y) or at S (X+1, Y-1).
Bresenham’s Algorithm
This can be decided by the decision parameter d.
If d less than=0, then N(X+1, Y) is to be chosen as next pixel.
If d greater than 0, then S(X+1, Y-1) is to be chosen as the next pixel.
Algorithm
Step 1 − Get the coordinates of the center of the circle and radius, and store them in x, y, and R respectively. Set P=0 and Q=R.
Step 2 − Set decision parameter D = 3 - 2R.
Step 3 − Repeat through step-8 while P less than equal to Q.
Step 4 − Call Draw Circle (X, Y, P, Q).
Step 5 − Increment the value of P.
Step 6 − If D less than 0 then D = D + 4P + 6.
Step 7 − Else Set R = R - 1, D = D + 4(P-Q) + 10.
Step 8 − Call Draw Circle (X, Y, P, Q).
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