What is the Difference Between DDA and Bresenham Algorithm?

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The DDA (Digital Differential Analyzer) and Bresenham's algorithm are both used for drawing a line on a computer screen, but they differ in terms of efficiency, speed, and the mathematical operations they use. Here are the main differences between the two algorithms:

  1. Operations: DDA uses multiplication and division, while Bresenham's algorithm only uses addition and subtraction.
  2. Efficiency: Bresenham's algorithm is more efficient than DDA because it uses integer arithmetic and requires fewer calculations.
  3. Speed: Bresenham's algorithm is faster than DDA in line drawing because it performs only addition and subtraction in its calculation.
  4. Precision: DDA has less precision or accuracy, while Bresenham's algorithm has more precision or accuracy.
  5. Complexity: The complexity of calculation is more complex in DDA, while it is simple in Bresenham's algorithm.
  6. Optimization: DDA does not provide optimization, while Bresenham's algorithm does.
  7. Cost: DDA is more expensive than Bresenham's algorithm, which is cheaper.

In summary, Bresenham's algorithm is generally considered more efficient, faster, and precise than DDA, making it a better choice for line drawing applications. However, DDA may be more suitable for certain specific applications due to its simplicity and ease of implementation.

Comparative Table: DDA vs Bresenham Algorithm

Here is a table highlighting the differences between the DDA and Bresenham's line drawing algorithms:

Feature DDA Bresenham's Algorithm
Operations Multiplication and division Only addition and subtraction
Efficiency Less efficient More efficient
Speed Slower Faster
Accuracy Less accurate More accurate and precise
Complexity Complex calculations Simple calculations
Price Higher cost Lower cost
Optimization Prevents optimization Enables optimization

DDA (Digital Differential Analyzer) uses floating-point arithmetic for rasterization, while Bresenham's Algorithm uses integer arithmetic, making it more efficient. DDA is slower and less accurate compared to Bresenham's Algorithm, which is faster and more accurate. Bresenham's Algorithm is also more cost-effective and allows for optimization, while DDA does not.