Explain the DDA line drawing algorithm with its procedure

1.C] Explain the DDA line drawing algorithm with its procedure

Digital Differential Analyzer (DDA) Algorithm

1. Slope Calculation

Slope (m): The slope of the line between two points (x1, y1) and (x2, y2) is calculated using the formula:

2. Finding Δx and Δy

Δx and Δy: The change in x (Δx) and the change in y (Δy) can be computed depending on the slope m and the coordinates of the points.

The formula for Δx is derived as follows:

The formula for Δy is:

Another formula for Δy derived from the slope m and Δx is:

3. Decision Rules for Incrementing Points

If |Δx| ≥ |Δy|:

• In this case, x is incremented by 1:
Δx = 1
• The next x-coordinate (xi+1) is:
x_i+1 = x_i + Δx = x_i + 1
• The next y-coordinate (yi+1) is:
y_i+1 = y_i + Δy = y_i + m * Δx = y_i + m

If |Δx| < |Δy|:

• In this case, y is incremented by 1:
Δy = 1
• The next x-coordinate (xi+1) is:
x_i+1 = x_i + Δx = x_i + Δy / m = x_i + 1 / m
• The next y-coordinate (yi+1) is:
y_i+1 = y_i + Δy = y_i + 1

Answer:

Example:-