# Line drawing algorithm

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**line drawing algorithm**is a graphicalalgorithm for approximating a line segment on discrete graphical media. On discrete media, such aspixel -based displays and printers, line drawing requires such an approximation (in nontrivial cases).On continuous media, by contrast, no algorithm is necessary to draw a line. For example,

oscilloscope s use natural phenomena to draw lines and curves.**A naïve line-drawing algorithm**`dx = x2 - x1 dy = y2 - y1`

It is assumed here that the points have already been ordered so that $x\_2\; >\; x\_1$.This algorithm works just fine when $dx\; >=\; dy$, but it is quite slow on a digital computer, as it requires floating-point calculations. If $dx\; <\; dy$, the line becomes quite sparse, and in the limiting case of $dx\; =\; 0$, only a single point is plotted!**for**x**from**x1**to**x2 { y = y1 + (dy) * (x - x1)/(dx) plot(x, y) }**List of line drawing algorithms**The following is a partial list of line drawing algorithms:

*Bresenham's line algorithm — optimized to use only additions (i.e. no divisions or multiplications); it also avoids floating-point computations.

*Xiaolin Wu's line algorithm — can performanti-aliasing

* [*http://www.edepot.com/algorithm.html EFLA line algorithm*] — A very fast implementation.

* [*http://gatopeichs.pbwiki.com/gatopeich%27s-Graphic-Algorithms#LineDrawingbyIntegerOperations gatopeich's line algorithm*] — Fast, simple, aesthetic. Based on pure integer operations.

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