scholarly journals The total variation flow in metric random walk spaces

2020 ◽  
Vol 59 (1) ◽  
Author(s):  
José M. Mazón ◽  
Marcos Solera ◽  
Julián Toledo
Keyword(s):  
Random Walk ◽  
Total Variation ◽  
Total Variation Flow

scholarly journals The convergence of a numerical method for total variation flow

2021 ◽  
Vol 15 ◽  
pp. 174830262110113
Author(s):  
Qianying Hong ◽  
Ming-jun Lai ◽  
Jingyue Wang
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Numerical Method ◽  
Convergence Analysis ◽  
Total Variation ◽  
Iterative Algorithm ◽  
Finite Difference Scheme ◽  
Gradient Flow ◽  
Time Dependent ◽  
Total Variation Flow

We present a convergence analysis for a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fetami model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of the iterative algorithm. Finally computational experiments are shown to demonstrate the convergence of the finite difference scheme.

Quantifying image structures in high-throughput microscopy with total variation flow

2016 ◽  
Author(s):  
Shekoufeh Gorgi Zadeh ◽  
Max Hermann ◽  
Elisa Merklingen ◽  
Jan-Gero Schloetel ◽  
Thomas Schultz
Keyword(s):  
Total Variation ◽  
High Throughput ◽  
Total Variation Flow

The nonlocal total variation flow

2010 ◽  
pp. 163-189 ◽  
Author(s):  
Fuensanta Andreu-Vaillo ◽  
José Mazón ◽  
Julio Rossi ◽  
J. Julián Toledo-Melero
Keyword(s):  
Total Variation ◽  
Total Variation Flow ◽  
Nonlocal Total Variation

scholarly journals On the Jump set of Solutions of the Total Variation Flow

2013 ◽  
Vol 130 ◽  
pp. 155-168 ◽  
Author(s):  
Vicent Caselles ◽  
Khalid Jalalzai ◽  
Matteo Novaga
Keyword(s):  
Total Variation ◽  
Total Variation Flow ◽  
Jump Set
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