| Name | torch-cubic-b-spline-grid JSON |
| Version |
0.0.1
JSON |
| download |
| home_page | |
| Summary | Cubic B-spline interpolation on multidimensional grids in PyTorch |
| upload_time | 2023-02-01 10:58:38 |
| maintainer | |
| docs_url | None |
| author | Alister Burt |
| requires_python | >=3.8 |
| license | BSD 3-Clause License |
| keywords |
|
| VCS |
|
| bugtrack_url |
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| requirements |
No requirements were recorded.
|
| Travis-CI |
No Travis.
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| coveralls test coverage |
No coveralls.
|
# torch-cubic-b-spline-grid
[](https://github.com/alisterburt/torch-cubic-b-spline-grid/raw/main/LICENSE)
[](https://pypi.org/project/torch-cubic-b-spline-grid)
[](https://python.org)
[](https://github.com/alisterburt/torch-cubic-b-spline-grid/actions/workflows/ci.yml)
[](https://codecov.io/gh/alisterburt/torch-cubic-b-spline-grid)
_Cubic B-spline interpolation on multidimensional grids in PyTorch._
The primary goal of this package is to provide a learnable, continuous
parametrization of 1-4D spaces.
---
This is a PyTorch implementation of the model used in
[Warp](http://warpem.com/warp/#) for continuous deformation
fields and locally variable optical parameters in cryo-EM images. The approach is described in
[Dimitry Tegunov's paper](https://doi.org/10.1038/s41592-019-0580-y):
> Many methods in Warp are based on a continuous parametrization of 1- to
> 3-dimensional spaces.
> This parameterization is achieved by spline interpolation between points on a coarse,
> uniform grid, which is computationally efficient.
> A grid extends over the entirety of each dimension that needs to be modeled.
> The grid resolution is defined by the number of control points in each dimension
> and is scaled according to physical constraints
> (for example, the number of frames or pixels) and available signal.
> The latter provides regularization to prevent overfitting of sparse data with too many
> parameters.
> When a parameter described by the grid is retrieved for a point in space (and time),
> for example for a particle (frame), B-spline interpolation is performed at that point
> on the grid.
> To fit a grid’s parameters, in general, a cost function associated with the
> interpolants at specific positions on the grid is optimized.
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