SplineSplat: 3D Ray Tracing for Higher-Quality Tomography
This addresses the need for more accurate 3D tomography reconstruction in fields like medical imaging or materials science, though it appears incremental as it builds on existing basis function and ray-tracing approaches.
The paper tackles the problem of computing tomographic projections of 3D volumes by proposing a method using shifted B-splines and a ray-tracing algorithm, achieving higher reconstruction quality than traditional voxel-based methods.
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.