PolarOnionPeeling

The code implements the method shown at "Toward real-time charged-particle image reconstruction using polar onion-peeling" by G.M. Roberts et-al, Rev. Sci. Instr. 80, 053104 (2009) https://doi.org/10.1063/1.3126527

There are several extensions included beyond the original paper:

• Support of higher Legendre orders
• Specific quadrants of the image can be selected in the analysis in case of image asymmetries.
• Limit Legendre order toward the origin to restrict overfitting.
• Support of NaN values for masking unwanted pixels or areas of raw images.
• Supports images of up to 4K x 4K pixels. bld_lut.m was added for radial basis set generation of arbitrary size.
• Added beta2cart.m to get the 2D and 3D reconstruction based on beta parameteres.
• Added LDSD.m to apply Legendre decomposition for a single data vector spanning [0,2*pi]
• Added LDSDw.m - a weighted least squares fit version of LDSD
• Added LDSDw_example.m a script that demostranted LDSDw for random beta2 and beta4 inputs.
• Added cart2tripolar.m to allow only cart2polar transform for any quandrant an to the range [0,2*pi].

Run the script pop_example to see the various outputs of POP.m