A sharp sufficient condition for mobile sampling in terms of surface density
Benjamin Jaye, Mishko Mitkovski, Manasa N. Vempati
TL;DR
This paper establishes the precise surface density threshold necessary for mobile sampling, ensuring accurate data collection from surfaces.
Contribution
It introduces a sharp sufficient condition for mobile sampling based on surface density, advancing the theoretical understanding of sampling criteria.
Findings
Identifies the exact surface density threshold for mobile sampling.
Provides a rigorous mathematical condition for sampling guarantees.
Enhances the theoretical framework for surface sampling methods.
Abstract
We provide the sharp surface density threshold to guarantee mobile sampling in terms of the surface density of the set.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Machine Learning and Algorithms · Point processes and geometric inequalities