Disclosed are embodiments of methods, systems, and apparatus for generating a continuous virtual scan line pattern from a raster line input. In certain preferred embodiments, a continuous, omni-directional virtual scan line pattern may be generated from a continuous, one-dimensional raster line input. In some embodiments, such a pattern may be generated for one or more families of shallow virtual scan lines and for one or more families of steep virtual scan lines. Some of the virtual scan line families may be configured to generate overlapping data.