scholarly journals Enhanced image approximation using shifted rank-1 reconstruction

2020 ◽  
Vol 14 (2) ◽  
pp. 267-290
Author(s):  
Florian Bossmann ◽  
◽  
Jianwei Ma
Keyword(s):  
Image Approximation

Color image approximation based on clustering a color palette and smoothing borders with splines and arcs

2018 ◽  
pp. 3-11
Author(s):  
D. Kasimov ◽  
◽  
A. Kuchuganov ◽  
V. Kuchuganov ◽  
P. Oskolkov ◽  
...  
Keyword(s):  
Color Image ◽  
Color Palette ◽  
Image Approximation

SOLVING THE INVERSE PROBLEM FOR FUNCTION/IMAGE APPROXIMATION USING ITERATED FUNCTION SYSTEMS I: THEORETICAL BASIS

Fractals ◽  
1994 ◽  
Vol 02 (03) ◽  
pp. 325-334 ◽  
Author(s):  
BRUNO FORTE ◽  
EDWARD R. VRSCAY
Keyword(s):  
Inverse Problem ◽  
Function Approximation ◽  
Image Representation ◽  
Iterated Function Systems ◽  
Rigorous Solution ◽  
Compact Metric Space ◽  
Image Approximation ◽  
Iterated Function ◽  
Contractive Operator ◽  
Contraction Maps

We are concerned with function approximation and image representation using Iterated Function Systems (IFS) over ℒp (X, µ): An N-map IFS with grey level maps (IFSM), to be denoted as (w, Φ), is a set w of N contraction maps wi: X → X over a compact metric space (X, d) (the "base space") with an associated set Φ of maps ϕi: R → R. Associated with each IFSM is a contractive operator T with fixed point [Formula: see text]. We provide a rigorous solution to the following inverse problem: Given a target υ ∈ ℒp(X, µ) and an ∊ > 0, find an IFSM whose attractor satisfies [Formula: see text].

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