17 citations · 54 across the 12 of their papers we have counts for
12 papers
Shape Preserving Zipper Hidden Variable Fractal Interpolation Function
Chol Hui Yun, Yu Jong Pak, Mi Gyong Ri +1
In this paper, we study a new class of zipper fractal interpolation functions (ZFIFs) constructed using a zipper hidden variable iterated function system (ZHVIFS). ZFIFs have more…
Existence and convergence theorems for monotone generalized alpa-nonexpansive mappings in uniformly convex partially ordered hyperbolic metric spaces and its application
Chang Il Rim, Jong Gyong Kim, Chol-Hui Yun
In this paper, we generalize the existence result in [14] and prove convergence theorems of the iterative scheme in [12, 16] for monotone generalized alpa-nonexpansive mappings in…
Estimation of errors on perturbation of function contractivity factors and box-counting dimension of hidden variable recurrent fractal interpolation function
Mi-Kyong Ri, Chol-Hui Yun
In this paper, we study errors on perturbation of function contractivity factors and box-counting dimension of hidden variable recurrent fractal interpolation function (HVRFIF). Th…
Analytic properties of hidden variable recurrent fractal interpolation function with function contractivity factors
Mi-Kyong Ri, Chol-Hui Yun
In this paper, we analyze the smoothness and stability of hidden variable recurrent fractal interpolation functions (HVRFIF) with function contractivity factors introduced in Ref.…
Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors
Chol-Hui Yun, Mi-Kyong Ri
We estimate the bounds of box-counting dimension of hidden variable fractal interpolation functions (HVFIFs) and hidden variable bivariate fractal interpolation functions (HVBFIFs)…
Hidden variable recurrent fractal interpolation function with four function contractivity factors
Chol-Hui Yun
In this paper, we introduce a construction of hidden variable recurrent fractal interpolation functions (HVRFIF) with four function contractivity factors. In the fractal interpolat…
A construction of fractal surfaces with function scaling factors on a rectangular grid
Chol-Hui Yun, Hui-Chol Choi, Hyong-Chol O
A fractal surface is a set which is a graph of a bivariate continuous function. In the construction of fractal surfaces using IFS, vertical scaling factors in IFS are important one…
Construction of Recurrent Fractal Interpolation Surfaces with Function Scaling Factors and Estimation of Box-counting Dimension on Rectangular Grids
Chol-Hui Yun, Hui-Chol Choi, Hyong-Chol O
We consider a construction of recurrent fractal interpolation surfaces with function vertical scaling factors and estimation of their box-counting dimension. A recurrent fractal in…
A Construction of the Best Fractal Approximation
Yong-Suk Kang, Chol-Hui Yun, Dong-Hyok Kim
In this paper we present a method for constructing the continuous best fractal approximation in the space of bounded functions. We construct the finite-dimensional subspace of the…
Image Compression predicated on Recurrent Iterated Function Systems
Chol-Hui Yun, W. Metzler, M. Barski
Recurrent iterated function systems (RIFSs) are improvements of iterated function systems (IFSs) using elements of the theory of Marcovian stochastic processes which can produce mo…
Construction of Fractal Surfaces by Recurrent Fractal Interpolation Curves
Chol-hui Yun, Hyong-chol O., Hui-chol Choi
A method to construct fractal surfaces by recurrent fractal curves is provided. First we construct fractal interpolation curves using a recurrent iterated functions system(RIFS) wi…
Box-counting dimension of a kind of fractal interpolation surface on rectangular grids
CholHui Yun, MunChol Kim
We estimate a Box-counting dimension of fractal surfaces which are generated by iterated function systems with a vertical contraction factor function on an arbitrary data set over…