Construction of recurrent fractal interpolation surfaces(RFISs) on rectangular grids
A recurrent iterated function system (RIFS) is a genaralization of an IFS and provides nonself-affine fractal sets which are closer to natural objects. In general, it’s attractor is not a continuous surface in R3.
Chol Hui Yunb, Wolfgang Metzler A
core
In this paper, we study Riemann–Liouville fractional calculus of nonlinear hidden variable recurrent fractal interpolation function (HVRFIF) constructed based on Rakotch contraction, which is a generalization of Banach contraction.
Chung-Il Ro +3 more
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Construction of fractal interpolation surfaces on rectangular grids
We present a general method of generating continuous fractal interpolation surfaces by iterated function systems on an arbitrary data set over rectangular grids and estimate their Box-counting ...
Wolfgang Metzler A, Cholhui Yunb
core
Enhanced deep learning networks integrated by fractals for air quality index analysis. [PDF]
Kala Nandhini S, Thanga Mariappan L.
europepmc +1 more source
Research on Seafloor 3D Reconstruction Method Based on Sparse Measurement Points. [PDF]
Xiao E +6 more
europepmc +1 more source
Packing Densification Response-Constrained Fractal Characterization and Compaction Performance Evaluation of Widely Graded Granular Materials. [PDF]
Ren GF +5 more
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SDA-SwinNet: Swin-UNet with Dense Skip and Shift-ASPP for Retinal Vessel Segmentation. [PDF]
Xiao J +5 more
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On Approximating Rough Curves With Fractal Functions
Fractal functions are explored as a representation for rough data in computer graphics. Two new techniques for using fractal interpolation functions to approximate rough functions and curves are introduced.
core
Trajectory optimization for wall-building robots in accordance with nonlinear viscoelastic cement mortar environment. [PDF]
Shi Q +6 more
europepmc +1 more source
A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]
Vinoth R, Jayalakshmi M.
europepmc +1 more source

