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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 Rendering and Ray Tracing Methods In previous section we had discussed various methods for visible-surface detection, although in order to produce visibility the prese
Scale a sphere cantered on the point (1, 2, and 3) with radius 1, so that the new sphere has the same centre with radius 2. Solution: Translate the sphere so that its centre
Scaling, shear, reflection and Viewing coordinates 1) Scaling, shear and reflection operations have natural extensions to 3D. 2) Viewing coordinates are the coordinates
Types of Polygon tables curves and surfaces Attribute tables: This table has object information as transparency, surface reflexivity, texture features of an object in the vi
Polygon representation methods - Space Partitioning Representations Space partitioning representations: this type of representation is used for explain the interior pr
Perspective Projection 1. Perspective projection gives more realistic appearance and uses the same principle as used in camera. 2. Perspective projection is not an affine tr
Trivial Rejection Case of cohen sutherland line clippings Case: it is Trivial Rejection Case; if the logical intersection (AND) of the bit codes of the end points P, Q of
Modelling and Rendering a surface Common practice in modelling and rendering a surface is to approximate it by a polygonal surface. By a polygonal surface we mean a surface whi
I have an assignment to do & it''s due on Wednesday !
Translation and shifting in Spatial Domain A) The three images shown below were blurred using square masks of sizes n=23, 25, and 45, respectively. The vertical bars on the le
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