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.
License
For personal and professional use. You cannot resell or redistribute these repositories in their original state.
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