pyxu-xrt 0.7

Description:

pyxuxrt 0.7

Pyxu X-Ray Transform Operators
pyxu_xrt provides Pyxu operators to compute samples of the X-Ray Transform in 2D and 3D.
The X-Ray Transform (XRT) of a function f:RD→R is defined as

P[f](n,t)=∫Rf(t+nα)dα,

where n∈SD−1 and t∈n⊥.
P[f] hence denotes the set of line integrals of f.
Two class of algorithms exist to evaluate the XRT:

Fourier methods leverage the Fourier Slice Theorem (FST) to efficiently evaluate the XRT when multiple values of
t are desired for each n.
Ray methods compute estimates of the XRT via quadrature rules by assuming f is piecewise constant on short
intervals.

The operators in pyxu_xrt allow one to efficiently evaluate samples of the XRT assuming f is a pixelized
image/volume where:

the lower-left element of f is located at o∈RD,
pixel dimensions are Δ∈R+D, i.e.


f(r)=∑{q}⊂NDαq1[0,Δ](r−q⊙Δ−o),αq∈R.

In the 2D case, the parametrization is best explained by the figure below:



Installation
You can install pyxu_xrt via pip:
pip install pyxu_xrt
The host system must have CUDA 11.x or 12.x installed to use the GPU. Similarly,
using drjit-backed operators on the CPU requires LLVM. If problems arise, we provide Docker
receipes to easily create Pyxu developer environments.


License
Distributed under the terms of the MIT license, pyxu_xrt is free and open source software.


Issues
If you encounter any problems, please file an issue along with a detailed description.