Individuation of 3D perceptual units from neurogeometry of binocular cells
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914964183187456 |
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| author | Bolelli, Maria Virginia Citti, Giovanna Sarti, Alessandro Zucker, Steven W. |
| author_facet | Bolelli, Maria Virginia Citti, Giovanna Sarti, Alessandro Zucker, Steven W. |
| contents | We model the functional architecture of the early stages of three-dimensional vision by extending the neurogeometric sub-Riemannian model for stereo-vision introduced in \cite{BCSZ23}. A new framework for correspondence is introduced that integrates a neural-based algorithm to achieve stereo correspondence locally while, simultaneously, organizing the corresponding points into global perceptual units. The result is an effective scene segmentation. We achieve this using harmonic analysis on the sub-Riemannian structure and show, in a comparison against Riemannian distance, that the sub-Riemannian metric is central to the solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02870 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Individuation of 3D perceptual units from neurogeometry of binocular cells Bolelli, Maria Virginia Citti, Giovanna Sarti, Alessandro Zucker, Steven W. Neurons and Cognition Computer Vision and Pattern Recognition Differential Geometry We model the functional architecture of the early stages of three-dimensional vision by extending the neurogeometric sub-Riemannian model for stereo-vision introduced in \cite{BCSZ23}. A new framework for correspondence is introduced that integrates a neural-based algorithm to achieve stereo correspondence locally while, simultaneously, organizing the corresponding points into global perceptual units. The result is an effective scene segmentation. We achieve this using harmonic analysis on the sub-Riemannian structure and show, in a comparison against Riemannian distance, that the sub-Riemannian metric is central to the solution. |
| title | Individuation of 3D perceptual units from neurogeometry of binocular cells |
| topic | Neurons and Cognition Computer Vision and Pattern Recognition Differential Geometry |
| url | https://arxiv.org/abs/2410.02870 |