# Dealing with Topological Information within a Fully Convolutional Neural   Network

**Authors:** Etienne Decenci\`ere, Santiago Velasco-Forero, Fu Min, Juanjuan Chen,, H\'el\`ene Burdin, Gervais Gauthier, Bruno La\"y, Thomas Bornschloegl,, Th\'er\`ese Baldeweck

arXiv: 1906.11600 · 2019-06-28

## TL;DR

This paper introduces a method to incorporate topological information into fully convolutional neural networks for histological image segmentation by using a geodesic operator as a pre-processing step.

## Contribution

The paper proposes a novel pre-processing technique with a geodesic operator to enable CNNs to utilize global topological information.

## Key findings

- Improved segmentation accuracy on histological images.
- Effective integration of topological data into CNNs.
- Demonstrated applicability to Whole Slide Imaging data.

## Abstract

A fully convolutional neural network has a receptive field of limited size and therefore cannot exploit global information, such as topological information. A solution is proposed in this paper to solve this problem, based on pre-processing with a geodesic operator. It is applied to the segmentation of histological images of pigmented reconstructed epidermis acquired via Whole Slide Imaging.

## Full text

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## Figures

18 figures with captions in the complete paper: https://tomesphere.com/paper/1906.11600/full.md

## References

9 references — full list in the complete paper: https://tomesphere.com/paper/1906.11600/full.md

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Source: https://tomesphere.com/paper/1906.11600