But, since not all SFCs are exact self-similar, in this paper, we propose a method to determine whether a discrete approximation of Space Filling Curve is exact self-similar.
Section 3 presents the test that determine whether a discrete approximation of a Space Filling Curve on the plane is exact self-similar.
A discrete approximation of the Peano Space Filling Curve.
He proposed a continuous curve that goes through every point of the plane (Figure 1), and those curves were called Space Filling Curves (SFCs).
The space filling curve and OCTREE methods are not guaranteed to create connected partitions, which may be a desirable property.
Some of the methods that fall into this category are the space filling curves , OCTREE , and refinement-tree  methods.
Space Filling Curves
(SFC) , or Fractal Mapping (Peano, Gray, and Hilbert Space Filling Curves
), is a continuous mapping from d-dimensional to 1-dimensional space.
Topics include space filling curves
for parallel domain decomposition, data transfers between processes in an SMP system, truthful topology control in wireless ad hoc networks with selfish nodes, and adaptively routing P2P queries using association analysis.
Space filling curves and their use in the design of geometric data structures.
Texture classification method using multiple space filling curves.
A video scrambling technique based on space filling curves.