Here for a basic recap, the Bresenham's Line Drawing Algorithm is a technique used to draw straight lines on pixel-based displays like computer screens. It was first introduced by Jack E. Bresenham in 1962. It's widely used because it's both efficient and simple to implement.
Bresenham Line Drawing Algorithm. We want the algorithm to be as fast as possible, because in practice such an algorithm will be used a lot. We'll walk our way through a derivation of the algorithm. IBM Systems Journal, 4(1):25-30, 1965. is a two-dimensional array of pixels.
In this article, we will explore the inner workings of the Bresenham Line Algorithm, its applications, and how you can implement it to optimize line drawing in your projects.
This page introduces a compact and efficient implementation of Bresenham's algorithm to plot lines, circles, ellipses and Bézier curves. A detailed documentation of the algorithm and more program examples are availble: Bresenham.pdf. Some C-program examples of the document are listed below.
Bresenham’s line algorithm was first introduced by Jack Elton Bresenham in 1962. Bresenham was working at IBM’s San Jose, CA, Development lab at the time, where he developed the algorithm as a way to efficiently draw lines on a Calcomp incremental display (Pen & Paper Roll).
A full implementation of the Bresenham algorithm must, of course, be able to handle all combinations of slope and endpoint order. Some of the regions in the plane, those for which x2 is smaller than x1 can be handled by exchanging the endpoints of the line segment.
Bresenham’s Line Algorithm Given end points (x0, y0) (x1, y1) dx = x1−x0, dy=y1−y0 Starting with an end point (x0, y0): 1. Compute P0= 2dy −dx 2. For each k, staring with k=0 if (Pk< 0) the next point is (Xk+1, Yk) Pk+1= Pk+ 2 dy else the next point is (Xk+1, Yk+1) Pk+1= Pk+ 2dy − 2dx 3. Repeat step 2 x1−x0times Created Date