Bresenham's Line Drawing Algorithm

🎯 Introduction:

Bresenham's Line Drawing Algorithm is a simple and efficient method used to draw lines on a computer screen or any two-dimensional grid-based environment. It was developed by Jack E. Bresenham in 1962 while working at IBM. This algorithm finds the points of a discrete line that are closest to the ideal line connecting two given endpoints. Unlike other line drawing methods that require floating-point arithmetic, Bresenham's algorithm uses only integer arithmetic operations, making it computationally faster and suitable for hardware implementation.

🎯 Concept

The main concept behind Bresenham's algorithm is to utilize the idea of incremental error. The algorithm starts with one endpoint and then considers the pixel closest to the ideal line that passes through the next position. The decision to select the next pixel is based on the accumulated error at each step, which ensures the line remains as close to the ideal line as possible. This approach eliminates the need for floating-point calculations, which were computationally expensive when Bresenham's algorithm was developed.

🎯 Bresenham's Circle Drawing Example Program

🎯 Detailed Explanation

The given C program demonstrates the implementation of Bresenham's Line Drawing Algorithm to draw a line between two endpoints. Let's go through the code step-by-step:

In the main function:

In the linebres function:

🎯 Summary

Bresenham's Line Drawing Algorithm is a powerful and efficient method for drawing lines in a grid-based environment. By utilizing integer arithmetic and incremental error, it avoids the need for costly floating-point calculations, making it highly suitable for hardware implementation. The provided C program showcases the implementation of Bresenham's algorithm and allows the user to input endpoints to draw lines.

🎯 Key Points