A multi-directional Gradient with Bi-Geometric Calculus to Detect Contours in Images with Multiplicative Noise

2018 ◽  
Author(s):  
M. Acevedo-Letelier ◽  
K. Vilches ◽  
M. Mora
Keyword(s):  
Multiplicative Noise ◽  
Geometric Calculus

Iteratively Reweighted Anisotropic-TV Based Multiplicative Noise Removal Model

2012 ◽  
Vol 38 (3) ◽  
pp. 444-451 ◽  
Author(s):  
Xu-Dong WANG ◽  
Xiang-Chu FENG ◽  
Lei-Gang HUO
Keyword(s):  
Multiplicative Noise ◽  
Noise Removal ◽  
Multiplicative Noise Removal ◽  
Removal Model

scholarly journals Analysis of Stochastic Generation and Shifts of Phantom Attractors in a Climate–Vegetation Dynamical Model

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1329
Author(s):  
Lev Ryashko ◽  
Dmitri V. Alexandrov ◽  
Irina Bashkirtseva
Keyword(s):  
Multiplicative Noise ◽  
Nonlinear Dynamical Systems ◽  
Stochastic Theory ◽  
Slow Variable ◽  
Theoretical Description ◽  
Mathematical Study ◽  
Stochastic Generation ◽  
Nonlinear Dynamical ◽  
Additive And Multiplicative Noise ◽  
And Shifts

A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced systematic shifts in global temperature both upward (“warming”) and downward (“freezing”). These shifts are associated with changes in the area of Earth covered by vegetation. The mathematical study of these noise-induced phenomena is performed within the framework of the stochastic theory of phantom attractors in slow-fast systems. We give a theoretical description of stochastic generation and shifts of phantom attractors based on the method of freezing a slow variable and averaging a fast one. The probabilistic mechanisms of oppositely directed shifts caused by additive and multiplicative noise are discussed.

Filtering discrete-time systems with multiplicative noise in L2 spaces with applications

2021 ◽  
pp. 1-1
Author(s):  
Filippo Cacace ◽  
Massimiliano drAngelo ◽  
Vittorio De Iuliis ◽  
Alfredo Germani
Keyword(s):  
Discrete Time ◽  
Multiplicative Noise ◽  
Discrete Time Systems ◽  
Time Systems
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