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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
Electronic Encyclopedia : This is the application of multimedia for the creation of an encyclopedia along with millions of entries and hypertext cross references covering a br
Q. Explain the concept of area subdivision method. Write the conditions, when no further subdivision is needed and how we can test these condition. Ans. Area Subdivision Th
X-shear Regarding the Origin - 2-d and 3-d transformations Suppose an object point P(x,y) be moved to P'(x',y') in the x-direction, via the given scale parameter 'a',that is,
The image you have been given for contour extraction is shown in Figure 1. The method for constructing the search space is shown in Figure 2. It is generated from two initial discr
Specified p 0 (1, 1): p 1 (2, 3); p 2 (4, 3); p 3 (3, 1) as vertices of Bezier curve find out 3 points on Bezier curve? Solution : We consider Cubic Bezier curve as: P (
program to prove 2 consecutive rotation & scaling are additive in nature
Q. Describe different types of parallel and perspective projection used in computer graphics.
Algorithms for Basic Line Segment Plotting There are two important algorithms for basic line segment plotting-DDA algorithm and Bresenham algorithm. Both the algorithms use th
Important points about the Surface of Revolution a) if a point on base curve is given by parametric form, that are: (x(u), y(u), z(u)) so surface of revolution regarding to th
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