NAISR: A 3D Neural Additive Model for Interpretable Shape Representation
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Abstract (arXiv)
Deep implicit functions (DIFs) have emerged as a powerful paradigm for many computer vision tasks such as 3D shape reconstruction, generation, registration, completion, editing, and understanding. However, given a set of 3D shapes with associated covariates there is at present no shape representation method which allows to precisely represent the shapes while capturing the individual dependencies on each covariate. Such a method would be of high utility to researchers to discover knowledge hidden in a population of shapes. For scientific shape discovery, we propose a 3D Neural Additive Model for Interpretable Shape Representation (textttNAISR) which describes individual shapes by deforming a shape atlas in accordance to the effect of disentangled covariates. Our approach captures shape population trends and allows for patient-specific predictions through shape transfer. textttNAISR is the first approach to combine the benefits of deep implicit shape representations with an atlas deforming according to specified covariates. We evaluate textttNAISR with respect to shape reconstruction, shape disentanglement, shape evolution, and shape transfer on three datasets: 1) textitStarman, a simulated 2D shape dataset; 2) the ADNI hippocampus 3D shape dataset; and 3) a pediatric airway 3D shape dataset. Our experiments demonstrate that textitStarman achieves excellent shape reconstruction performance while retaining interpretability. Our code is available at hrefhttps://github.com/uncbiag/NAISRhttps://github.com/uncbiag/NAISR.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Builds on 60 of its 101 references that are in the map. First posted on arXiv 16 Mar 2023.
Builds on
60 of 101 references.
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38 more
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50 most cited of 60 All 60 (JSON)
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Citing papers per year: 2024: 1; 2025: 4; 2026: 2.
7 papers.
- 2025A Comprehensive Survey on Self-Interpretable Neural Networkscited by 18
- 2025Geometric implicit neural representations for signed distance functionscited by 4
- 2025Additive Models Explained: A Computational Complexity Approachcited by 3
- 2026Provably Explaining Neural Additive Modelscited by 1
- 2024NeuralOCT: Airway OCT Analysis via Neural Fieldscited by 0
- 2025LucidAtlas: Learning Uncertainty-Aware, Covariate-Disentangled, Individualized Atlas Representationscited by 0
- 2026PRISM: A 3D Probabilistic Neural Representation for Interpretable Shape Modelingcited by 0
- 2026Provably Explaining Neural Additive Models19 Feb 2026
- 2026PRISM: A 3D Probabilistic Neural Representation for Interpretable Shape Modeling12 Feb 2026
- 2025Geometric implicit neural representations for signed distance functions10 Nov 2025
- 2025Additive Models Explained: A Computational Complexity Approach24 Oct 2025
- 2025LucidAtlas: Learning Uncertainty-Aware, Covariate-Disentangled, Individualized Atlas Representations12 Feb 2025
- 2025A Comprehensive Survey on Self-Interpretable Neural Networks26 Jan 2025
- 2024NeuralOCT: Airway OCT Analysis via Neural Fields15 Mar 2024