Midpoint circle algorithm for scan converting a circle, Computer Graphics

Assignment Help:

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


Related Discussions:- Midpoint circle algorithm for scan converting a circle

Basics of animation - computer animation, Basics of Animation - Computer an...

Basics of Animation - Computer animation Historical and traditional methods for production of animation: As we have studied the transformations linked in computer graphics

Categories of line segments - 2d clipping algorithms, Categories of Line Se...

Categories of Line Segments It categorizes line segments into three categories (i) trivially rejected (ii) trivially selected (iii) may be partially visible or totally invisibl

General perspective transformation, General Perspective transformation w.r....

General Perspective transformation w.r.t. an arbitrary center of projection Suppose here that the COP is at C(a,b,c), as demonstrated in Figure. By Figure, the vectors CP

What do you understand by the term image compositing, Question 1: (a) E...

Question 1: (a) Explain in detail what you understand by the term image compositing and where it is more often used? (b) You are given 3-5 images to make a photo montage/ima

Given two triangles p along with vertices as p1(100, Given two triangles P ...

Given two triangles P along with vertices as P1(100,100,50), P2(50,50,50), P3(150,50,50) and q along with vertices as Q1(40,80,60), q2(70,70,50), Q3( 10,75,70), determine that tria

What is an axonometric orthographic projection, What is an axonometric orth...

What is an axonometric orthographic projection and cabinet projection? The orthographic projection can show more than one face of an object.  Such an orthographic projection i

Disadvantage of the raster scan display device, Disadvantage of the Raster ...

Disadvantage of the Raster Scan Display Device The major disadvantage of the raster scan is the jagged nature of the lines, happening from the information that the pixels are

Odd-even rule and non-zero winding number rule, What is the difference betw...

What is the difference between odd-even rule and non-zero winding number rule to identify interior regions of an object? Develop an algorithm for a recursive method for filling a 4

Assumptions for area subdivision method, Assumptions for Area Subdivision M...

Assumptions for Area Subdivision Method a) ¾   Plane of projection is z=0 plane b) ¾ Orthographic parallel projections c) ¾   Direction of projection as d= (0,0,-1) d

List out the merits and demerits of penetration methods, List out the merit...

List out the merits and demerits of Penetration methods?  The merits and demerits of the Penetration methods are as follows  It is a less expensive technique It has

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd