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Julia BCDI Documentation

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The BYU-CXI research group maintains a suite of Julia packages to solve the Bragg Coherent Diffraction Imaging (BCDI) problem in several different regimes and circumstance.

  • BcdiCore.jl (github repo) implements all of the Fourier transforms for the Julia BCDI packages. In addition, BcdiCore calculates the loss function used (either $L_2$ or the MLE estimator) and derivatives of these loss functions.

  • BcdiTrad.jl (github repo) implements projection-based BCDI algorithm. Currently, this is limited to ER, HIO, and shrinkwrap.

  • BcdiStrain.jl (github repo) implements a multi-peak BCDI algorithm developed by the BYU-CXI group. In addition to the alogrithms present in BcdiTrad, BcdiStrain also implements Mount, an operator that switches between peaks.

  • BcdiMeso.jl (github repo) implements a BCDI algorithm that solves in the mesoscale regime. Instead of using projections, this algorithm uses a gradient-based optimization scheme. Additionally, BcdiMeso does not assume a small measurement distance away from the peak.

  • BcdiAtomic.jl is an upcoming BCDI package that implements a BCDI algorithm that solves at the atomic scale.

  • BcdiMulti.jl is an upcoming BCDI package that implements a multiscale BCDI algorithm that solves at both the mesoscale and the atomic scale.

  • BcdiSimulate.jl (github repo) implements algorithms that simulate the BCDI problem. Currently, this is only implimented at the atomic scale.