25 citations · 62 across the 12 of their papers we have counts for
4 papers · 1 filter
The complete set of homogeneous Hilbert curves in two dimensions
C. Pérez-Demydenko, I. Brito-Reyes, B. Aragón Fernández +1
An inventory of all possible homogenous Hilbert curves in two dimensions are reported. Six new Hilbert curves are described by introducing the reversion operation in the constructi…
Locality preserving homogeneous Hilbert curves by use of arbitrary kernels
C. Pérez-Demydenko, I. Brito Reyes, E. Estevez-Rams +1
Homogeneous Hilbert curves (HHC) in two dimensions are generalized by introducing the construction of the space filling curves from the same affine transformations but using an arb…
Arithmetic properties of homogeneous Hilbert curves
E. Estevez-Rams, I. Brito-Reyes
Properties of the recently reported homogeneous Hilbert curves are deduced and reported. The nature of the affine transformations involved in the construction of the Hilbert curves…
On the non-randomness of maximum Lempel Ziv complexity sequences of finite size
E. Estevez-Rams, R. Lora Serrano, B. Aragón Fernández +1
Random sequences attain the highest entropy rate. The estimation of entropy rate for an ergodic source can be done using the Lempel Ziv complexity measure yet, the exact entropy ra…