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Welcome to the Math.Geometry.Projective wiki.

The focus of this projective geometry implementation is to try and use synthetic methods. When possible, adequate, to a certain extent. The focus is not on performance or coding per se.

Example. A stereographic projection is not implemented by a formula. That would be easy, but it is not the aim in this project. It is implemented by calculating certain lines from the projection center and calculating the meeting point of these lines with the projection plane.

The library from math.net.numerics is used and extended to support homogeneous coordinates. The basic 1-, 2- and 3-dimensional geometric entities: points, planes, linear complexes and lines, with their meet and join operations, are modelled using homogeneous coordinates.

The project's purpose is to provide clear and simple methods to design 2- and 3-dimensional geometrical objects and configurations and to project them on a drawing surface. For some people it may be interesting to see how projective geometry has been used.

I myself have a three stage rocket in mind:

1. The mathematical calculation: I use the best geometrical framework for drawings: projective geometry. The existing math.net.numerics library is a solid base.
2. I automate CorelDraw via COM interop. Of course this only works when CorelDraw (X7) is installed on your machine.
3. The finishing touch: after the drawing has been generated, I customize, edit and improve it using its specialized tools.

The project may be extended e.g. by adding automation for other drawing applications or by adding a WPF project that draws on a canvas.