Peano-Type Space-Filling Curves as Means for Multivariate Problems

2000 ◽  
pp. 445-549
Author(s):  
Roman G. Strongin ◽  
Yaroslav D. Sergeyev
Keyword(s):  
Space Filling ◽  
Type Space ◽  
Space Filling Curves ◽  
Multivariate Problems

scholarly journals On the Number of Face-Connected Components of Morton-Type Space-Filling Curves

2018 ◽  
Vol 19 (4) ◽  
pp. 843-868 ◽  
Author(s):  
Carsten Burstedde ◽  
Johannes Holke ◽  
Tobin Isaac
Keyword(s):  
Connected Components ◽  
Space Filling ◽  
Type Space ◽  
Space Filling Curves

scholarly journals A Matrix Iterative Approach to Systematically Generate Hilbert-type Space-filling Curves

2015 ◽  
Vol 14 (12) ◽  
pp. 6281-6294
Author(s):  
Ruisong Ye ◽  
Li Liu
Keyword(s):  
Point Of View ◽  
Iterative Approach ◽  
Matrix Approach ◽  
Space Filling ◽  
Type Space ◽  
Space Filling Curve ◽  
Space Filling Curves ◽  
The Matrix ◽  
Filling Curve ◽  
Hilbert Type

Hilbert-type space-filling curve has attracted much interest thanks to its mathematical importance and extensive applications in signal processing. In this paper, we construct the complete six Hilbert-type space-filling curves form amatrix point of view. The address matrix for each considered Hilbert-type space-filling curve can be easily generated by a recursive manner. Besides the six Hilbert-type space-filling curves, we also construct their corresponding variation versions. The merit of the matrix approach is that the iterative algorithm is easy to implement and can be generalized to produce any other Hilbert-type space-filling curves and their variation versions.

scholarly journals On one approach to the approximation of solutions to the direct kinematics problem of parallel manipulators

2020 ◽  
Vol 10 (1) ◽  
pp. 65-70
Author(s):  
Andrei Gorchakov ◽  
Vyacheslav Mozolenko
Keyword(s):  
Neural Network ◽  
Bounded Function ◽  
Parallel Manipulators ◽  
Feedforward Neural Network ◽  
Numerical Implementation ◽  
Continuous Bounded Function ◽  
Space Filling ◽  
Space Filling Curves ◽  
Direct Kinematics

AbstractAny real continuous bounded function of many variables is representable as a superposition of functions of one variable and addition. Depending on the type of superposition, the requirements for the functions of one variable differ. The article investigated one of the options for the numerical implementation of such a superposition proposed by Sprecher. The superposition was presented as a three-layer Feedforward neural network, while the functions of the first’s layer were considered as a generator of space-filling curves (Peano curves). The resulting neural network was applied to the problems of direct kinematics of parallel manipulators.

Computing Space-Filling Curves

2010 ◽  
Vol 50 (2) ◽  
pp. 370-386 ◽  
Author(s):  
P. J. Couch ◽  
B. D. Daniel ◽  
Timothy H. McNicholl
Keyword(s):  
Space Filling ◽  
Space Filling Curves

scholarly journals Using Peano–Hilbert space filling curves for fast bidimensional ensemble EMD realization

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Paulo Costa ◽  
João Barroso ◽  
Hugo Fernandes ◽  
Leontios J Hadjileontiadis
Keyword(s):  
Hilbert Space ◽  
Space Filling ◽  
Space Filling Curves
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