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Bresenham's line algorithm is a line drawing algorithm that determines the ... =x-2y+2=0 Positive and negative half-planes. The slope-intercept form of a line is ...
The biggest issue of single color line drawing algorithms is that they lead to lines with a rough, jagged appearance. On devices capable of displaying multiple levels of brightness, this issue can be avoided through antialiasing. For this, lines are usually viewed in a two-dimensional form, generally as a rectangle with a desired thickness.
Similar calculations are carried out to determine pixel positions along a line with negative slope. Thus, if the absolute value of the slope is less than 1, we set dx=1 if x s t a r t < x e n d {\displaystyle x_{\rm {start}}<x_{\rm {end}}} i.e. the starting extreme point is at the left.
Bresenham's line algorithm, developed in 1962, is his most well-known innovation. It determines which points on a 2-dimensional raster should be plotted in order to form a straight line between two given points, and is commonly used to draw lines on a computer screen. It is one of the earliest algorithms discovered in the field of computer ...
A circle of radius 23 drawn by the Bresenham algorithm. In computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. It is a generalization of Bresenham's line algorithm. The algorithm can be further generalized to conic sections. [1] [2] [3]
A naive approach to anti-aliasing the line would take an extremely long time. Wu's algorithm is comparatively fast, but is still slower than Bresenham's algorithm. The algorithm consists of drawing pairs of pixels straddling the line, each coloured according to its distance from the line. Pixels at the line ends are handled separately.
I'd like to note that these line drawing algorithms posted by PrisonerOfPain and the Bresenham's line algorithm discussed in the article will not even work for some lines going right down. Here is an example, line start at [1,1] and ends at [3, 25] the line is going right down(in the raster coordinate system), as you will see you'll loop only 2 ...
1962 – Bresenham's line algorithm developed by Jack E. Bresenham; 1962 – Gale–Shapley 'stable-marriage' algorithm developed by David Gale and Lloyd Shapley; 1964 – Heapsort developed by J. W. J. Williams; 1964 – multigrid methods first proposed by R. P. Fedorenko; 1965 – Cooley–Tukey algorithm rediscovered by James Cooley and John ...