How do you find the midpoint of a circle using algorithms?

Posted on by Emilia Duggan

How do you find the midpoint of a circle using algorithms?

Algorithm:

  1. Step1: Put x =0, y =r in equation 2. We have p=1-r.
  2. Step2: Repeat steps while x ≤ y. Plot (x, y) If (p<0) Then set p = p + 2x + 3. Else. p = p + 2(x-y)+5. y =y – 1 (end if) x =x+1 (end loop)
  3. Step3: End.
  4. Output:

How can you draw circle explain it with algorithm?

Algorithm

  1. Step 1 – The coordinates of the circle such as center and radius are obtained and are stored in in x, y, and R respectively.
  2. Step 2 − Set decision parameter D = 3 – 2R.
  3. Step 3 − Repeat through step-8 while X < Y.
  4. Step 4 − Call Draw Circle (X, Y, P, Q).
  5. Step 5 − Increment the value of P.

Why do we use midpoint in circle algorithm?

The midpoint circle drawing algorithm helps us to calculate the complete perimeter points of a circle for the first octant. We can quickly find and calculate the points of other octants with the help of the first octant points. The remaining points are the mirror reflection of the first octant points.

What is the value of decision parameter in midpoint circle drawing algorithm?

The initial value of decision parameter can be obtained by evaluating circle function at the start Position (x0, y0) = (0, r).

What is the importance of 8 way symmetry in a mid point circle algorithm?

The shape of circle is the same in all quadrants. In each quadrant, there are two octants. If the calculation of the point of one octant is done, then the other seven points can be calculated easily by using the concept of eight-way symmetry. So we will calculate only 45°arc.

What is midpoint in circle?

The midpoint of any diameter of a circle is the center of the circle. Any line perpendicular to any chord of a circle and passing through its midpoint also passes through the circle’s center.

What is Mid Point subdivision algorithm?

Midpoint subdivision algorithm is an extension of the Cyrus Beck algorithm. This algorithm is mainly used to compute visible areas of lines that are present in the view port are of the sector or the image. Both the line segments are tested for visibility and found to be partially visible.