Write the DDA algorithm and Bresenham Line generation Algorithm. Compa

Question

Write the DDA algorithm and Bresenham Line generation Algorithm. Compare the line generation mechanism of DDA algorithm with Bresenham Line generation Algorithm while drawing a line segment from (1, 0) and (9, 8). Show step by step execution of both Line Generation algorithm, though a Graph.

16 Sep 2022

Answer :

Word Count : 1820

DDA Algorithm:
The Digital Differential Analyzer (DDA) algorithm is a simple line drawing algorithm that works by dividing the line into equal parts and calculating the coordinates of each point in the line using the slope of the line.

Here's the pseudocode for the DDA algorithm:

Inputs: (x1, y1) and (x2, y2), the endpoints of the line
Output: The coordinates of all the pixels that fall on the line between (x1, y1) and (x2, y2)

slope = (y2 - y1) / (x2 - x1)
x = x1
y = y1

while (x <= x2):
plot(x, round(y))
x = x + 1
y = y + slope
In the algorithm, we first calculate the slope of the line, which tells us how much y changes for every x increment. Then, we start at the first endpoint of the line (x1, y1) and increment x by 1 each time, calculating the corresponding y coordinate using the slope. We then plot the pixel at (x, round(y)), where round(y) is the nearest integer to y. We continue this process until we reach the second endpoint of the line (x2, y2).

Bresenham Line Generation Algorithm:
The Bresenham line drawing algorithm is a more efficient algorithm for drawing lines than the DDA algorithm. It works by incrementally calculating the best pixel to draw at each step, based on the difference between the actual slope of the line and the slope of a hypothetical "ideal" line.

Here's the pseudocode for the Bresenham line drawing algorithm:

Inputs: (x1, y1) and (x2, y2), the endpoints of the line
Output: The coordinates of all the pixels that fall on the line between (x1, y1) and (x2, y2)

dx = abs(x2 - x1)
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