6533b86dfe1ef96bd12c96d4

RESEARCH PRODUCT

$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces

José M. MazónMarcos SoleraJulián Toledo

subject

Discrete mathematicsApplied MathematicsImage processingWorkspaceRandom walkThresholding05C80 35R02 05C21 45C99 26A45Mathematics - Analysis of PDEsMetric (mathematics)Decomposition (computer science)FOS: MathematicsAnalysisMathematicsAnalysis of PDEs (math.AP)

description

In this paper we study the $(BV,L^p)$-decomposition, $p=1,2$, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case $p=1$ we also study the associated geometric problem and the thresholding parameters.

yearjournalcountryeditionlanguage
2019-07-23
https://dx.doi.org/10.48550/arxiv.1907.10650