## How does the Bresenham line drawing algorithm work?

## How does the Bresenham line drawing algorithm work?

This algorithm is used for scan converting a line. It was developed by Bresenham. It is an efficient method because it involves only integer addition, subtractions, and multiplication operations. These operations can be performed very rapidly so lines can be generated quickly….Bresenham’s Line Algorithm:

x | y | d=d+I1 or I2 |
---|---|---|

7 | 4 | d+I2=7+(-6)=1 |

8 | 5 |

## Which algorithm is used for line drawing?

There are following algorithms used for drawing a line: DDA (Digital Differential Analyzer) Line Drawing Algorithm. Bresenham’s Line Drawing Algorithm. Mid-Point Line Drawing Algorithm.

**What is Bresenham algorithm initial error term?**

The error term is initially set as e = 2 Δy – Δx where Δy = y2 – y1, and Δx = x2 – x1. Then according to value of e following actions are taken, while ( e ≥ 0) { y = y + 1 e = e – 2 * Δx } x = x + 1 e = e + 2 * Δy.

**What are the benefits of Bresenham algorithm over DDA algorithm?**

Bresenhams algorithm uses ints and only uses addition and subtraction. (2) Due to the use of only addition, subtraction and bit shifting Bresenhams algorithm is faster than DDA in producing the line. (3) Fixed point DDA algorithms are generally superior to Bresenhams algoritm on modern computers.

### How many types of algorithms are used for line drawing?

To draw a line, you need two points between which you can draw a line. In the following three algorithms, we refer the one point of line as X0,Y0 and the second point of line as X1,Y1.

### Why Bresenham’s line algorithm is preferred over DDA line algorithm?

Bresenhams algorithm is faster than DDA algorithm in line drawing because it performs only addition and subtraction in its calculations and uses only integer arithmetic so it runs significantly faster. DDA algorithm is not as accurate and efficient as Bresenhm algorithm.

**What is difference between Ddaand and Bresenhamalgorithm?**

The main difference between DDA and Bresenham’s algorithm is that the DDA algorithm mostly uses multiplication and division in its operations while applying floating purpose values whereas Bresenham’s algorithm mostly used addition and subtraction in its operations while applying spherical off functions.