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# draw triangle algorithm (2D)

, 8 Jun 2010 CPOL 11.9K 1
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short and efficient algorithm for pixel plotting a 2D triangle on a bitmap
I've been looking for a quick way to draw a triangle on a bitmap by pixel plotting. This is especially interesting in combination with the WriteableBitmap in Silverlight.

The following code shows a c# pseudo code implementation of the triangle drawing routine. given a bitmap, the array of pixels (integers)
then the following short piece of code will draw the bitmap efficiently. It also makes use of a swap function that swaps 2 variables (integers, not included).

Note that the color parameter is assumed ARGB encoded and should be represented as an integer.

```public static void FillTriangleSimple(this WriteableBitmap bitmap, int x0, int y0, int x1, int y1, int x2, int y2, int color)
{
int[] pixels = bitmap.Pixels;
int width = bitmap.PixelWidth;
int height = bitmap.PixelHeight;
// sort the points vertically
if (y1 > y2)
{
swap(ref x1, ref x2);
swap(ref y1, ref y2);
}
if (y0 > y1)
{
swap(ref x0, ref x1);
swap(ref y0, ref y1);
}
if (y1 > y2)
{
swap(ref x1, ref x2);
swap(ref y1, ref y2);
}

double dx_far = Convert.ToDouble(x2 - x0) / (y2 - y0 + 1);
double dx_upper = Convert.ToDouble(x1 - x0) / (y1 - y0 + 1);
double dx_low = Convert.ToDouble(x2 - x1) / (y2 - y1 + 1);
double xf = x0;
double xt = x0 + dx_upper; // if y0 == y1, special case
for (int y = y0; y <= (y2 > height-1 ? height-1 : y2); y++)
{
if (y >= 0)
{
for (int x = (xf > 0 ? Convert.ToInt32(xf) : 0); x <= (xt < width ? xt : width-1) ; x++)
pixels[Convert.ToInt32(x + y * width)] = color;
for (int x = (xf < width ? Convert.ToInt32(xf) : width-1); x >= (xt > 0 ? xt : 0); x--)
pixels[Convert.ToInt32(x + y * width)] = color;
}
xf += dx_far;
if (y < y1)
xt += dx_upper;
else
xt += dx_low;
}
}```

ps. fixed small bug

## About the Author

 Architect Capgemini Netherlands
Currently Herre Kuijpers is employed at Capgemini Netherlands for over 10 years, where he developed skills with all kinds of technologies, methodologies and programming languages such as c#, ASP.Net, Silverlight, VC++, Javascript, SQL, UML, RUP, WCF. Currently he fulfills the role of software architect in various projects. Herre Kuijpers is a very experienced software architect with deep knowledge of software design and development on the Microsoft .Net platform. He has a broad knowledge of Microsoft products and knows how these, in combination with custom software, can be optimally implemented in the often complex environment of the customer.

## Comments and Discussions

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 Divide By Zero Member 253099719-Nov-14 22:20 Member 2530997 19-Nov-14 22:20
 Re: Divide By Zero Herre Kuijpers19-Nov-14 22:46 Herre Kuijpers 19-Nov-14 22:46
 Last Visit: 31-Dec-99 18:00     Last Update: 4-Aug-15 6:41 Refresh 1

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