Point based rendering of non manifold surfaces

We present a point based rendering technique that uses iterated function systems to render arbitrary parametric and implicit surfaces with singularities and non manifold features, to the pixel precision of the image. Its advantage over existing point based techniques is the simplicity of its implementation but in this form it is slow. It only requires evaluations of the surface functions and gradients to render shaded images. The technique also allows for hidden surface elimination using a z-buffer and shadow casting using a shadow buffer.