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Reducing the Hausdorff Distance in Medical Image Segmentation With Convolutional Neural Networks

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Karimi, Davood, Salcudean, Septimiu E.·2020·IEEE Transactions on Medical Imaging

Abstract

The Hausdorff Distance (HD) is widely used in evaluating medical image segmentation methods. However, the existing segmentation methods do not attempt to reduce HD directly. In this paper, we present novel loss functions for training convolutional neural network (CNN)-based segmentation methods with the goal of reducing HD directly. We propose three methods to estimate HD from the segmentation probability map produced by a CNN. One method makes use of the distance transform of the segmentation boundary. Another method is based on applying morphological erosion on the difference between the true and estimated segmentation maps. The third method works by applying circular/spherical convolution kernels of different radii on the segmentation probability maps. Based on these three methods for estimating HD, we suggest three loss functions that can be used for training to reduce HD. We use these loss functions to train CNNs for segmentation of the prostate, liver, and pancreas in ultrasound, magnetic resonance, and computed tomography images and compare the results with commonly-used loss functions. Our results show that the proposed loss functions can lead to approximately 18-45% reduction in HD without degrading other segmentation performance criteria such as the Dice similarity coefficient. The proposed loss functions can be used for training medical image segmentation methods in order to reduce the large segmentation errors.

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Metadata

Authors
Karimi, D., & Salcudean, S. E.
Venue
IEEE Transactions on Medical Imaging
Published
2020-02
Volume
39
Issue
2
Pages
499-513
ISSN
  • 0278-0062 (ISSN-L)
  • 1558-254X
OpenAlex
W2941524851
Cited by
635
References
11
FWCI
24.36
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Reducing the Hausdorff Distance in Medical Image Segmentation With Convolutional Neural Networks. https://app.cochat.ai/papers/10.1109/tmi.2019.2930068
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Karimi, D., & Salcudean, S. E. (2020). Reducing the Hausdorff Distance in Medical Image Segmentation With Convolutional Neural Networks. IEEE Transactions on Medical Imaging. https://doi.org/10.1109/tmi.2019.2930068

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