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## What are the steps of Midpoint Circle Algorithm explain?

Algorithm:

• Step1: Put x =0, y =r in equation 2. We have p=1-r.
• 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)
• Step3: End.
• Output:

What is midpoint algorithm 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. The algorithm is related to work by Pitteway and Van Aken.

What property of circle is made use of in Midpoint Circle Algorithm?

This is an algorithm which is used to calculate the entire perimeter points of a circle in a first octant so that the points of the other octant can be taken easily as they are mirror points; this is due to circle property as it is symmetric about its center.

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

For this purpose decision parameter is used. It uses the circle function (fcircle(x, y) = x2 + y2 – r2) evaluated at the midpoint between these two pixels. If di < 0, this midpoint is inside the circle and the pixel on the scan line yi is closer to the circle boundary.

Which is circle generation algorithm?

Circle can be generated on the screen by using two algorithms – Bresenham’s Algorithmand Midpoint Circle Algorithm. Consequent points essential for generating o drawing a circle are determined.

What is midpoint ellipse algorithm?

Midpoint ellipse algorithm is a method for drawing ellipses in computer graphics. This method is modified from Bresenham’s algorithm. The appropriate pixels can be selected according to the error so that the required ellipse is formed. The error can be confined within half a pixel.

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 is difference between Bresenham’s and midpoint circle drawing algorithm?

3 Answers. Bresenham’s circle algorithm is simply an optimized version of the Midpoint circle algorithm. The difference is Bresenham’s algorithm uses just integer arithmetics, whilst Midpoint still needs floating point.

Which are different types of circle drawing algorithms?

There are two algorithm to do this:

• Mid-Point circle drawing algorithm.
• Bresenham’s circle drawing algorithm.

## How is the mid point circle drawing algorithm used?

The mid-point circle drawing algorithm is an algorithm used to determine the points needed for rasterizing a circle. We use the mid-point algorithm to calculate all the perimeter points of the circle in the first octant and then print them along with their mirror points in the other octants.

How are the points of a circle generated?

Every circle has 8 octants and the circle drawing algorithm generates all the points for one octant. The points for other 7 octants are generated by changing the sign towards X and Y coordinates.

How is Bresenham’s circle algorithm related to conic sections?

In computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. Bresenham’s circle algorithm is derived from the midpoint circle algorithm. The algorithm can be generalized to conic sections. The algorithm is related to work by Pitteway and Van Aken.

### Is the algorithm used to draw a circle smooth?

The circle generated by this algorithm is not smooth. This algorithm is time consuming. Circle drawing algorithms take the advantage of 8 symmetry property of circle. Every circle has 8 octants and the circle drawing algorithm generates all the points for one octant.