Drawing an image to a triangle

Hi all,

Background::
I am currently in the process of creating a 3D modelling engine using c#.Net without the use of any 3rd party libraries like DirectX or OpenGl. So far I have built an engine that supports the creation of new objects, lights, movement and physics (which I think is pretty impressive so far considering the restrictions :p). However I have hit a bit of a stumble. I cannot map an Image to a triangle.

Question::
I have 3 screen points generated by my engine from a 3d triangle stored in an array. I can simply draw lines between the points to generate a mesh but I would like to be able to put a given texture warped to the bounds of this triangle. The given texture is made up of an Image and the 3 points of a different triangle it will source of the image. How can I accomplish this?

Thank you to all who help me solve my challenge :) :)

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Graphics Drawer;  //Graphics Object
Image TextureImage;  //Image to draw source
Point[] PointsOnImageToSource;  //triangle on source image we want drawn
Point[] PointsOnScreenToDraw;   //Triangle in 2D space where texture needs to be drawn

//TODO - Draw triangle to screen

Tags: C# (C# 4.0)