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Main Authors: Nikolakakis, Emmanouil, Ouasfi, Amine, Digne, Julie, Marinescu, Razvan
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.01402
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author Nikolakakis, Emmanouil
Ouasfi, Amine
Digne, Julie
Marinescu, Razvan
author_facet Nikolakakis, Emmanouil
Ouasfi, Amine
Digne, Julie
Marinescu, Razvan
contents We present RibPull, a methodology that utilizes implicit occupancy fields to bridge computational geometry and medical imaging. Implicit 3D representations use continuous functions that handle sparse and noisy data more effectively than discrete methods. While voxel grids are standard for medical imaging, they suffer from resolution limitations, topological information loss, and inefficient handling of sparsity. Coordinate functions preserve complex geometrical information and represent a better solution for sparse data representation, while allowing for further morphological operations. Implicit scene representations enable neural networks to encode entire 3D scenes within their weights. The result is a continuous function that can implicitly compesate for sparse signals and infer further information about the 3D scene by passing any combination of 3D coordinates as input to the model. In this work, we use neural occupancy fields that predict whether a 3D point lies inside or outside an object to represent CT-scanned ribcages. We also apply a Laplacian-based contraction to extract the medial axis of the ribcage, thus demonstrating a geometrical operation that benefits greatly from continuous coordinate-based 3D scene representations versus voxel-based representations. We evaluate our methodology on 20 medical scans from the RibSeg dataset, which is itself an extension of the RibFrac dataset. We will release our code upon publication.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01402
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle RibPull: Implicit Occupancy Fields and Medial Axis Extraction for CT Ribcage Scans
Nikolakakis, Emmanouil
Ouasfi, Amine
Digne, Julie
Marinescu, Razvan
Computer Vision and Pattern Recognition
We present RibPull, a methodology that utilizes implicit occupancy fields to bridge computational geometry and medical imaging. Implicit 3D representations use continuous functions that handle sparse and noisy data more effectively than discrete methods. While voxel grids are standard for medical imaging, they suffer from resolution limitations, topological information loss, and inefficient handling of sparsity. Coordinate functions preserve complex geometrical information and represent a better solution for sparse data representation, while allowing for further morphological operations. Implicit scene representations enable neural networks to encode entire 3D scenes within their weights. The result is a continuous function that can implicitly compesate for sparse signals and infer further information about the 3D scene by passing any combination of 3D coordinates as input to the model. In this work, we use neural occupancy fields that predict whether a 3D point lies inside or outside an object to represent CT-scanned ribcages. We also apply a Laplacian-based contraction to extract the medial axis of the ribcage, thus demonstrating a geometrical operation that benefits greatly from continuous coordinate-based 3D scene representations versus voxel-based representations. We evaluate our methodology on 20 medical scans from the RibSeg dataset, which is itself an extension of the RibFrac dataset. We will release our code upon publication.
title RibPull: Implicit Occupancy Fields and Medial Axis Extraction for CT Ribcage Scans
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2509.01402