Two-dimensional texture mapping of implicit surfaces

Two dimensional texture mapping is the method of relating a two dimensional image space to a three dimensional geometric space. Computer graphics has applied this science to map the two dimensional information space of a raster image to the three dimensional spaces of geometric models. Typically this has been accomplished by exploiting the existence of a two dimensional parametric space defined on the surface.;This research explores techniques where a mapping from the two dimensional space of a raster image to three dimensional geometry is to be computed without the aid of a parametric space associated with the geometry. An implicit surface is due to an iso-surface or a level set in a scalar field and has no parametric space. To texture map these geometric surfaces we need to invent a parameterization.