A combinatorial interpretation of Gaussian blur

  • Travis Dillon Lawrence University

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.

Published
2020-02-19
How to Cite
DILLON, Travis. A combinatorial interpretation of Gaussian blur. Minnesota Journal of Undergraduate Mathematics, [S.l.], v. 5, n. 1, feb. 2020. ISSN 2378-5810. Available at: <https://mjum.math.umn.edu/index.php/mjum/article/view/139>. Date accessed: 20 oct. 2020.