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How do you draw a circle using the midpoint algorithm?

Author

Robert Harper

Updated on August 04, 2026

How do you draw a circle using the midpoint algorithm?

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:

What is midpoint circle drawing algorithm explain with example?

The midpoint circle drawing algorithm helps us to calculate the complete perimeter points of a circle for the first octant. The remaining points are the mirror reflection of the first octant points. This algorithm is used in computer graphics to define the coordinates needed for rasterizing the circle.

What is midpoint circle algorithm in computer graphics?

In computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. The algorithm can be generalized to conic sections.

What steps are required to scan convert a circle using midpoint circle algorithm?

Bresenham’s Circle Algorithm:

  1. Step1: Start Algorithm.
  2. Step2: Declare p, q, x, y, r, d variables.
  3. Step3: Enter the value of r.
  4. Step4: Calculate d = 3 – 2r.
  5. Step5: Initialize x=0.
  6. Step6: Check if the whole circle is scan converted.
  7. Step7: Plot eight points by using concepts of eight-way symmetry.

Why Bresenham’s circle drawing algorithm is better than midpoint circle drawing algorithm?

Bresenham’s algorithm deals with integers, so is very less time and memory consuming. This algorithm is accurate and efficient as it avoids using round function or floating point calculations. Mid-point circle algorithm also avoids square root or trigonometric calculation by adopting integer operation only.

What is the advantage of Bresenham line drawing algorithm?

It is easy to implement. It is fast and incremental. It executes fast but less faster than DDA Algorithm.

What are the advantages of midpoint circle drawing algorithm?

Advantages of Mid Point Circle Drawing Algorithm-

  • It is a powerful and efficient algorithm.
  • The entire algorithm is based on the simple equation of circle X2 + Y2 = R2.
  • It is easy to implement from the programmer’s perspective.
  • This algorithm is used to generate curves on raster displays.

Which are advantages and disadvantages of midpoint circle drawing algorithm?

Midpoint Circle Drawing Advantages of Midpoint Circle Drawing algorithm; a) This algorithm is efficient for scan conversion for drawing geometric curves on raster display. Disadvantages of Midpoint Circle Drawing algorithm; a) It is time consuming b) Distance between the pixels is not equal so we won’t a smooth circle.

What are the disadvantages of midpoint circle drawing algorithm?

Disadvantages of Mid Point Circle Drawing Algorithm-

  • Accuracy of the generating points is an issue in this algorithm.
  • The circle generated by this algorithm is not smooth.
  • This algorithm is time consuming.

What is the best method to draw a circle in computer graphics?

So, to draw a circle on a computer screen we should always choose the nearest pixels from a printed pixel so as they could form an arc. There are two algorithm to do this: Mid-Point circle drawing algorithm. Bresenham’s circle drawing algorithm.

Which algorithm can be used for circle generation?

Bresenham Circle Drawing Algorithm- Given the centre point and radius of circle, Bresenham Circle Drawing Algorithm attempts to generate the points of one octant. The points for other octacts are generated using the eight symmetry property.

What is the difference between DDA and Bresenham algorithm?

The main distinction between DDA algorithm and Bresenham line algorithm is that, the DDA algorithmic rule uses floating purpose values whereas in Bresenham, spherical off functions is used.