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Found 4 papers, 3 papers with code
The Maximum Distance Problem and Minimal Spanning Trees
For $E\subset \mathbb{R}^2$, we prove that minimizing over minimum spanning trees that connect the centers of balls of radius $s$, which cover $E$, solves the maximum distance problem.
Classical Analysis and ODEs Computational Geometry Optimization and Control 28A75, 49Q15, 49Q20
A Time Series Graph Cut Image Segmentation Scheme for Liver Tumors
We normalize the data and perimeter terms in the functional to expedite the graph cut without having to optimize the scaling parameter $\lambda$.
Median Shapes
When the input shapes are modeled by integral currents with shared boundaries in codimension $1$, we show that the median is guaranteed to exist, and is contained in the \emph{envelope} of the input currents.
Differential Geometry Computational Geometry Algebraic Topology Optimization and Control 49Q20 (Primary), 49Q15, 49Q05, 49Q10, 28A75, 58A25, 62-04, 62-07, 65C60, 65D18, 05C10
A energy-based interaction model for population opinion dynamics with topic coupling
Our model, which is really a family of variational models, has, as special cases, many of the previously established models for the opinion dynamics.
Physics and Society
