English

A combinatorial interpretation of Gaussian blur

Combinatorics 2020-11-18 v3

Abstract

Gaussian blur is a commonly-used method to filter image data. This paper introduces the collapsing sum, a new operator on matrices that provides a combinatorial interpretation of Gaussian blur. We study the combinatorial properties of this operator and prove the explicit relation between Gaussian blur and the collapsing sum.

Keywords

Cite

@article{arxiv.1812.03569,
  title  = {A combinatorial interpretation of Gaussian blur},
  author = {Travis Dillon},
  journal= {arXiv preprint arXiv:1812.03569},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T06:36:54.797Z