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Explain Bresenham s circle drawing algorithm, OR Explain midpoint circle algorithm for scan converting a circle.
Midpoint Circle Algorithm 1. Input radius r and circle center (x c , y c) , and obtain the first point on the circumference of a circle centered on the origin as (x0, y0,) = (0, r) 2. Calculate the initial value of the decision parameter as p0 = 5/4-r 3. At each x k position, starting at k = 0, perform the following test: If p k <0 , the next point along the circle centered on (0,0) is (x k+1,y k) and p k+1 = p k + 2x k+1 + 1 Otherwise, the next point the circle is ( x k + 1, y k -1) and p k+1 = p k+ 2x k+1 + 1 -2 y k where 2x k+1 = 2xk +2 and 2yk+1 = 2y k -2. 4. Determine symmetry points in the other seven octants. 5. Move each calculated pixel position (x, y) onto the circular path centered on (x c,y c) and plot the coordinate values: x = x +x c, y = y + y c 6. Repeat steps 3 through 5 until x > y
Polygon representation methods - Boundary representations Boundary representations: now the 3-D object is shown as a set of surfaces which separate the object interior from
Bresenham Line Generation Algorithm This algorithm is exact and efficient raster line generation algorithm. Such algorithm scan converts lines utilizing only incremental integ
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