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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
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Ray Tracing: Ray t racing is the technique to determine which objects in the scene are visible. In this to identify the visible surface for each pixel we continue to bounce the
difference between vecgen algoritham and bresenham''s algori
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Write a code to generate a composite matrix for general 3D rotation matrix. Test your code and rotate continuously a cube about an axis.
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