V-Net: Fully Convolutional Neural Networks for Volumetric Medical Image Segmentation
Open accessAbstract
Convolutional Neural Networks (CNNs) have been recently employed to solve problems from both the computer vision and medical image analysis fields. Despite their popularity, most approaches are only able to process 2D images while most medical data used in clinical practice consists of 3D volumes. In this work we propose an approach to 3D image segmentation based on a volumetric, fully convolutional, neural network. Our CNN is trained end-to-end on MRI volumes depicting prostate, and learns to predict segmentation for the whole volume at once. We introduce a novel objective function, that we optimise during training, based on Dice coefficient. In this way we can deal with situations where there is a strong imbalance between the number of foreground and background voxels. To cope with the limited number of annotated volumes available for training, we augment the data applying random non-linear transformations and histogram matching. We show in our experimental evaluation that our approach achieves good performances on challenging test data while requiring only a fraction of the processing time needed by other previous methods.
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- Findingown data
On the PROMISE 2012 test set, V-Net with a Dice-based loss achieved an average Hausdorff distance of 5.71 ± 1.20 mm.
“V-Net + Dice-based loss 0.869 ± 0.033 | 5.71 ± 1.20 mm | 82.39”
Quote in the paperSubstantial claim - Findingown data
On the PROMISE 2012 test set, V-Net with a Dice-based loss achieved a challenge score of 82.39.
“V-Net + Dice-based loss 0.869 ± 0.033 | 5.71 ± 1.20 mm | 82.39”
Quote in the paperSubstantial claim - Findingown data
On the PROMISE 2012 test set, V-Net with a multinomial logistic loss achieved a challenge score of 63.30.
“V-Net + mult. logistic loss 0.739 ± 0.088 | 10.55 ± 5.38 mm | 63.30”
Quote in the paperNot a substantial claim - Findingown data
The innermost portion of the CNN already captures the content of the whole input volume.
“We report in Table 1 the receptive fields of each network layer, showing the fact that the innermost portion of our CNN already captures the content of the whole input volume.”
Quote in the paperSubstantial claim - Findingown data
The Dice-based loss produced better results than the same network trained with a multinomial logistic loss and sample re-weighting.
“we obtain results that we experimentally observed are much better than the ones computed through the same network trained optimising a multinomial logistic loss with sample re-weighting”
Quote in the paperSubstantial claim
- Findingown data
The residual-learning architecture converges in a fraction of the time required by a similar network without residual functions.
“As confirmed by our empirical observations, this architecture ensures convergence in a fraction of the time required by a similar network that does not learn residual functions.”
Quote in the paperNot a substantial claim - Findingown data
The feature-forwarding connections improve the model's convergence time.
“We also observed that when these connections improve the convergence time of the model.”
Quote in the paperNot a substantial claim - Findingown data
On the PROMISE 2012 test set, V-Net with a multinomial logistic loss achieved an average Dice coefficient of 0.739 ± 0.088.
“V-Net + mult. logistic loss 0.739 ± 0.088 | 10.55 ± 5.38 mm | 63.30”
Quote in the paperSubstantial claim - Findingown data
On the PROMISE 2012 test set, V-Net with a Dice-based loss achieved an average Dice coefficient of 0.869 ± 0.033.
“V-Net + Dice-based loss 0.869 ± 0.033 | 5.71 ± 1.20 mm | 82.39”
Quote in the paperSubstantial claim - Findingown data
The trained network can segment a previously unseen MRI volume in about one second.
“we were able to segment a previously unseen volume in circa 1 second”
Quote in the paperNot a substantial claim - Findingreasoning
Forwarding features from early compression stages to the decompression path improves the quality of the final contour prediction.
“In this way we gather fine grained detail that would be otherwise lost in the compression path and we improve the quality of the final contour prediction.”
Quote in the paperSubstantial claim - Findingown data
On the PROMISE 2012 test set, V-Net with a multinomial logistic loss achieved an average Hausdorff distance of 10.55 ± 5.38 mm.
“V-Net + mult. logistic loss 0.739 ± 0.088 | 10.55 ± 5.38 mm | 63.30”
Quote in the paperNot a substantial claim - Findingown data
Data augmentation was necessary to obtain robustness and increased precision on the test dataset.
“In this work we found necessary to augment the original training dataset in order to obtain robustness and increased precision on the test dataset.”
Quote in the paperSubstantial claim- Rests on an assumption: Annotated medical volumes are difficult to obtain because experts must manually trace reliable ground truth and there is a cost to acquiring them.
- Interpretationreasoning
The Dice-based loss formulation does not require assigning class-specific weights to balance foreground and background voxels.
“Using this formulation we do not need to assign weights to samples of different classes to establish the right balance between foreground and background voxels”
Quote in the paperSubstantial claim - Interpretationreasoning
The approach can handle strong imbalance between the number of foreground and background voxels.
“In this way we can deal with situations where there is a strong imbalance between the number of foreground and background voxels.”
Quote in the paperSubstantial claim - Premisecitation
Before this work, fully convolutional networks trained end-to-end had been applied only to 2D images in computer vision and microscopy.
“Fully convolutional network trained end-to-end were so far applied only to 2D images both in computer vision [11,8] and microscopy image analysis [14].”
Quote in the paperSubstantial claim0 of 3 sources checked - Premisereasoning
The PROMISE 2012 dataset is representative of the clinical variability and challenges encountered in clinical settings.
“The data in this dataset is representative of the clinical variability and challenges encountered in clinical settings.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [7] source
Not checked in the free run.
- Premisecitation
The test set was representative of the clinical variability encountered in prostate scans in real clinical settings.
“The test set was representative of the clinical variability encountered in prostate scans in real clinical settings [7].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [7] source
Not checked in the free run.
- May combine two claims. 6
- Classified as probably not a substantial claim. 2
May combine two claims.
Findingown dataThe approach achieves good performance on challenging test data while needing only a fraction of the processing time required by other previous methods.
“We show in our experimental evaluation that our approach achieves good performances on challenging test data while requiring only a fraction of the processing time needed by other previous methods.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataV-Net performs segmentation of MRI prostate volumes in a fast and accurate manner.
“We presented and approach based on a volumetric convolutional neural network that performs segmentation of MRI prostate volumes in a fast and accurate manner.”
Quote in the paperSubstantial claimMay combine two claims.
Findingnone givenThe CNN is trained end-to-end on prostate MRI volumes and predicts segmentation for the entire volume at once.
“Our CNN is trained end-to-end on MRI volumes depicting prostate, and learns to predict segmentation for the whole volume at once.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe architecture, inspired by U-Net but divided into stages that learn residuals, improves both results and convergence time.
“Although we inspired our architecture to the one proposed in [14], we divided it into stages that learn residuals and, as empirically observed, improve both results and convergence time.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [14]
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone givenThe results reported in the paper were obtained directly from the challenge organisers after the authors submitted their segmentations.
“All the results reported in this section of the paper were obtained directly from the organisers of the challenge after submitting the segmentation obtained through our approach.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationShallower layers capture local information while deeper layers capture global information.
“Shallower layers grasp local information while deeper layers use filters whose receptive fields are much broader that therefore capture global information [19].”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [19]
Not checked in the free run.
May combine two claims.
InterpretationreasoningThe deepest layer's features perceive the whole anatomy at once and impose global constraints, which is important for segmenting poorly visible anatomy.
“We believe that this characteristic is important during segmentation of poorly visible anatomy: the features computed in the deepest layer perceive the whole anatomy of interest at once, since they are computed from data having a spatial support much larger than the typical size of the anatomy we seek to delineate, and therefore impose global constraints.”
Quote in the paperSubstantial claim
The paper relies on this without support.
Annotated medical volumes are difficult to obtain because experts must manually trace reliable ground truth and there is a cost to acquiring them.
“Annotated medical volumes are not easy to obtain due to the fact that one or more experts are required to manually trace a reliable ground truth annotation and that there is a cost associated with their acquisition.”
The paper relies on this without support.
Patch-wise segmentation approaches are prone to failure because they use only local context, especially in challenging modalities such as ultrasound.
“Such segmentations are obtained by only considering local context and therefore are prone to failure, especially in challenging modalities such as ultrasound, where a high number of mis-classified voxel are to be expected.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Milletrate et al. implemented a 3D CNN for segmenting MRI prostate images, attaining a 0.869 Dice coefficient score, the same as the winning teams in the PROMISE2012 competition.
“Milletrate et al. [304] implemented 3D CNN for segmenting MRI prostate images. Furthermore, they used the PROMISE2012 challenge dataset, from which fifty MRI scans were used for training and thirty for testing. The U-Net architecture of Ronnerberger et al. [305] inspired their V-net. This model attained a 0.869 Dice coefficient score, the same as the winning teams in the competition.”
From Review of deep learning: concepts, CNN architectures, challenges, applications, future directions (2021) · cites this paper as [304]
The paper describes a volumetric CNN for prostate MRI segmentation and reports an average Dice coefficient of 0.869 for V-Net with Dice-based loss (Conclusion, Table 2). It also reports 50 PROMISE2012 training volumes and 30 test volumes. But Table 2 gives the leading comparison methods Dice coefficients of 0.879 and 0.874, not the same 0.869 score. (LLM, conf=0.88)
Experimental — accuracy not yet measuredV-net was suggested as an extension of U-net for segmentation of the prostate on volumetric MRI images.
“For example, V-net was suggested as an extension of U-net for segmentation of the prostate on volumetric MRI images [49].”
From Convolutional neural networks: an overview and application in radiology (2018) · cites this paper as [49]
V-net utilized a loss function based on the Dice coefficient between segmentation results and ground truth, which directly reflected the quality of prostate segmentation.
“In the study, V-net utilized a loss function based on the Dice coefficient between segmentation results and ground truth, which directly reflected the quality of prostate segmentation.”
From Convolutional neural networks: an overview and application in radiology (2018) · cites this paper as [49]
We compared our nerve segmentation model with other advanced 3D image segmentation networks, training each on the same training dataset until full convergence.
“We compared our nerve segmentation model with other advanced 3D image segmentation networks50 (Supplementary Table 1): VNet51, Attention U-Net52, nnFormer53, UNETR54, SwinUNETR55, nnU-Net56 and nnUNetRes56. Each network was trained on the same training dataset until full convergence, defined as no decrease in the training loss for ten consecutive epochs.”
From A deep-learning framework reveals whole-body perturbations at cell level (2026) · cites this paper as [51]
We implemented comparison baselines (3D UNet, V-Net, Attention U-Net, nnFormer, UNETR) trained with the nnU-Net pipeline, and selected the finetuned VesselFM based on voxel Dice and instance Dice metrics from fivefold cross validation.
“As comparison baselines, we implemented the following architectures: 3D UNet57, V-Net51, Attention U-Net52, nnFormer53 and UNETR54. All were trained by using the nnU-Net pipeline56, with a patch size of 128 × 128 × 128 voxels, channel-wise z-score normalization, learning rate decay and SGD optimizer. The baselines were trained until convergence for 1,000 epochs and initial learning rates of [0.000”
From A deep-learning framework reveals whole-body perturbations at cell level (2026) · cites this paper as [51]
Deep learning based segmentation techniques surpassed traditional computer vision methods for dense semantic segmentation.
“Recently, deep learning based segmentation techniques surpassed traditional computer vision methods for dense semantic segmentation.”
From 3D MRI Brain Tumor Segmentation Using Autoencoder Regularization (2019) · cites this paper as [19]
Convolutional neural networks demonstrate state-of-the-art segmentation accuracy both in 2D natural images and in 3D medical image modalities.
“Convolutional neural networks (CNN) are able to learn from examples and demonstrate state-of-the-art segmentation accuracy both in 2D natural images [6] and in 3D medical image modalities [19].”
From 3D MRI Brain Tumor Segmentation Using Autoencoder Regularization (2019) · cites this paper as [19]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Table 1 names a different convolution kernel size
MinorThe table caption describes 3 × 3 × 3 convolutional layers, while the methods section says the convolutions in each stage use 5×5×5 kernels.
“Table: 1 Table 1 . Theoretical receptive field of the 3 × 3 × 3 convolutional layers of the network.”
“The convolutions performed in each stage use volumetric kernels having size 5×5×5 voxels.”
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“A similar network (V-Net) [27] was proposed to segment the prostate from 3D MRI volumes.”
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MethodA Noise-Robust Framework for Automatic Segmentation of COVID-19 Pneumonia Lesions From CT Images
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Machine learning analysis of whole mouse brain vasculature
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A Comprehensive Review of Deep Learning-Based Crack Detection Approaches
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FEANet: Feature-Enhanced Attention Network for RGB-Thermal Real-time Semantic Segmentation
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PAN++: Towards Efficient and Accurate End-to-End Spotting of Arbitrarily-Shaped Text
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Hetero-Modal Variational Encoder-Decoder for Joint Modality Completion and Segmentation
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DeepDRR – A Catalyst for Machine Learning in Fluoroscopy-Guided Procedures
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“63) % which is in line with results re-ported in previous studies using this architecture [3].”
BackgroundResultSelf-citationM3T: three-dimensional Medical image classifier using Multi-plane and Multi-slice Transformer
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3D AffordanceNet: A Benchmark for Visual Object Affordance Understanding
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Autofocus Layer for Semantic Segmentation
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Morpheus: A Deep Learning Framework for the Pixel-level Analysis of Astronomical Image Data
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“A common approach to handle unbalanced segmentations is to employ a Dice loss function to supplement the entropy loss function (e.g., Milletari et al. 2016; Sudre et al. 2017).”
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Fully Automatic and Real-Time Catheter Segmentation in X-Ray Fluoroscopy
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Automatic Annotation of Hip Anatomy in Fluoroscopy for Robust and Efficient 2D/3D Registration
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“The differentiable dice score [28] is computed for each class and then averaged.”
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Segment Anything in Medical Images
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Secure and robust machine learning for healthcare: A survey
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Scalable Multimodal Convolutional Networks for Brain Tumour Segmentation
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[Retracted] An Automated Deep Learning Model for the Cerebellum Segmentation from Fetal Brain Images
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RetractedInteractive 3D U-net for the segmentation of the pancreas in computed tomography scans
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Nanocarrier imaging at single-cell resolution across entire mouse bodies with deep learning
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Complementary Random Masking for RGB-Thermal Semantic Segmentation
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“To counteract this, we incorporate the Dice loss [Milletari et al. 2016], a metric widely used in image segmentation that is equivalent to the F1-score and focuses supervision on positive (non-zero) samples: where a small constant 𝜀 = 10 − 4 ensures numerical stability.”
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- Authors
- Milletari, F., Navab, N., & Ahmadi, S.-A.
- Affiliations
- Technical University of Munich (DE)
- Ludwig-Maximilians-Universität München (DE)
- Venue
- 2016 Fourth International Conference on 3D Vision (3DV)
- Publisher
- IEEE
- Published
- 2016-10
- Pages
- 565-571
- OpenAlex
- W2432481613
- Cited by
- 11,931
- References
- 20
- Citations by year
- 2026: 1261 · 2025: 1816 · 2024: 1880 · 2023: 1646 · 2022: 1541 · 2021: 1442 · 2020: 1071 · 2019: 812 · 2018: 348 · 2017: 98 · 2016: 7 · 2015: 1 · 2012: 3
- FWCI
- 146.48
- Type
- conference paper
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- International Conference on 3D Vision (3DV) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- TIB Data Manager
- Funders
- Nvidia (K40 GPU)
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Medical Image Segmentation Techniques
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Neural Network Applications
- Life Sciences › Neuroscience › Neurology › Brain Tumor Detection and Classification
- Keywords
- 3D medical image segmentation, fully convolutional network, prostate MRI segmentation, class imbalance, data augmentation, histogram matching, end-to-end learning
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