FlowSDF: Flow Matching for Medical Image Segmentation Using Distance Transforms

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Main Authors: Bogensperger, Lea, Narnhofer, Dominik, Falk, Alexander, Schindler, Konrad, Pock, Thomas
Format: Preprint
Published: 2024
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author Bogensperger, Lea
Narnhofer, Dominik
Falk, Alexander
Schindler, Konrad
Pock, Thomas
author_facet Bogensperger, Lea
Narnhofer, Dominik
Falk, Alexander
Schindler, Konrad
Pock, Thomas
contents Medical image segmentation plays an important role in accurately identifying and isolating regions of interest within medical images. Generative approaches are particularly effective in modeling the statistical properties of segmentation masks that are closely related to the respective structures. In this work we introduce FlowSDF, an image-guided conditional flow matching framework, designed to represent the signed distance function (SDF), and, in turn, to represent an implicit distribution of segmentation masks. The advantage of leveraging the SDF is a more natural distortion when compared to that of binary masks. Through the learning of a vector field associated with the probability path of conditional SDF distributions, our framework enables accurate sampling of segmentation masks and the computation of relevant statistical measures. This probabilistic approach also facilitates the generation of uncertainty maps represented by the variance, thereby supporting enhanced robustness in prediction and further analysis. We qualitatively and quantitatively illustrate competitive performance of the proposed method on a public nuclei and gland segmentation data set, highlighting its utility in medical image segmentation applications.
format Preprint
id arxiv_https___arxiv_org_abs_2405_18087
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle FlowSDF: Flow Matching for Medical Image Segmentation Using Distance Transforms
Bogensperger, Lea
Narnhofer, Dominik
Falk, Alexander
Schindler, Konrad
Pock, Thomas
Computer Vision and Pattern Recognition
Medical image segmentation plays an important role in accurately identifying and isolating regions of interest within medical images. Generative approaches are particularly effective in modeling the statistical properties of segmentation masks that are closely related to the respective structures. In this work we introduce FlowSDF, an image-guided conditional flow matching framework, designed to represent the signed distance function (SDF), and, in turn, to represent an implicit distribution of segmentation masks. The advantage of leveraging the SDF is a more natural distortion when compared to that of binary masks. Through the learning of a vector field associated with the probability path of conditional SDF distributions, our framework enables accurate sampling of segmentation masks and the computation of relevant statistical measures. This probabilistic approach also facilitates the generation of uncertainty maps represented by the variance, thereby supporting enhanced robustness in prediction and further analysis. We qualitatively and quantitatively illustrate competitive performance of the proposed method on a public nuclei and gland segmentation data set, highlighting its utility in medical image segmentation applications.
title FlowSDF: Flow Matching for Medical Image Segmentation Using Distance Transforms
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2405.18087