Application of non-linear transform coding to image processing

2012 ◽  
Author(s):  
Jens Hocke ◽  
Erhardt Barth ◽  
Thomas Martinetz
Keyword(s):  
Image Processing ◽  
Transform Coding ◽  
Non Linear ◽  
Linear Transform

scholarly journals Exact Mechanical Hierarchy of Non-Linear Fractional-Order Hereditariness

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 673
Author(s):  
Gioacchino Alotta ◽  
Emanuela Bologna ◽  
Massimiliano Zingales
Keyword(s):  
Functionally Graded ◽  
State Variable ◽  
Linear Approach ◽  
Power Law Decay ◽  
Separable Kernel ◽  
Proposed Model ◽  
Non Linear ◽  
Linear Transform ◽  
Single Integral ◽  
Non Local

Non-local time evolution of material stress/strain is often referred to as material hereditariness. In this paper, the widely used non-linear approach to single integral time non-local mechanics named quasi-linear approach is proposed in the context of fractional differential calculus. The non-linear model of the springpot is defined in terms of a single integral with separable kernel endowed with a non-linear transform of the state variable that allows for the use of Boltzmann superposition. The model represents a self-similar hierarchy that allows for a time-invariance as the result of the application of the conservation laws at any resolution scale. It is shown that the non-linear springpot possess an equivalent mechanical hierarchy in terms of a functionally-graded elastic column resting on viscous dashpots with power-law decay of the material properties. Some numerical applications are reported to show the capabilities of the proposed model.

The Choice of Filter Parameters for Non-Linear Grey-Value Image Processing

1986 ◽  
Author(s):  
A. Beckers ◽  
L. Dorst ◽  
I. T. Young
Keyword(s):  
Image Processing ◽  
Non Linear
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