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arXiv · 1812.03569

A combinatorial interpretation of Gaussian blur

Travis Dillon
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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.

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Travis Dillon. 2020-02-10. A combinatorial interpretation of Gaussian blur. https://arxiv.org/abs/1812.03569

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