SplineSplat: 3D Ray Tracing for Higher-Quality Tomography
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909902009532416 |
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| author | Haouchat, Youssef Kashani, Sepand Boquet-Pujadas, Aleix Thévenaz, Philippe Unser, Michael |
| author_facet | Haouchat, Youssef Kashani, Sepand Boquet-Pujadas, Aleix Thévenaz, Philippe Unser, Michael |
| contents | We propose a method to efficiently compute tomographic projections of a 3D volume represented by a linear combination of shifted B-splines. To do so, we propose a ray-tracing algorithm that computes 3D line integrals with arbitrary projection geometries. One of the components of our algorithm is a neural network that computes the contribution of the basis functions efficiently. In our experiments, we consider well-posed cases where the data are sufficient for accurate reconstruction without the need for regularization. We achieve higher reconstruction quality than traditional voxel-based methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11078 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SplineSplat: 3D Ray Tracing for Higher-Quality Tomography Haouchat, Youssef Kashani, Sepand Boquet-Pujadas, Aleix Thévenaz, Philippe Unser, Michael Computer Vision and Pattern Recognition Image and Video Processing Signal Processing We propose a method to efficiently compute tomographic projections of a 3D volume represented by a linear combination of shifted B-splines. To do so, we propose a ray-tracing algorithm that computes 3D line integrals with arbitrary projection geometries. One of the components of our algorithm is a neural network that computes the contribution of the basis functions efficiently. In our experiments, we consider well-posed cases where the data are sufficient for accurate reconstruction without the need for regularization. We achieve higher reconstruction quality than traditional voxel-based methods. |
| title | SplineSplat: 3D Ray Tracing for Higher-Quality Tomography |
| topic | Computer Vision and Pattern Recognition Image and Video Processing Signal Processing |
| url | https://arxiv.org/abs/2511.11078 |