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Merged
JeffFessler merged 1 commit into from
Jan 4, 2026
Merged

Refine figure labels/sizes for Sedona'26 #19

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26 changes: 17 additions & 9 deletions docs/lit/mri/6-precon.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -32,13 +32,13 @@ if you are using any of the following packages for the first time.
if false
import Pkg
Pkg.add([
"InteractiveUtils"
"ImagePhantoms"
"Unitful"
"Plots"
"LaTeXStrings"
"MIRTjim"
"MIRT"
"InteractiveUtils"
"Plots"
"Unitful"
])
end

Expand Down Expand Up @@ -83,15 +83,17 @@ Nϕ = N-2 # theoretically should be about π/2 * N
kϕ = (0:Nϕ-1)/Nϕ * π # angular samples
νx = kr * cos.(kϕ)' # N × Nϕ k-space sampling in cycles/mm
νy = kr * sin.(kϕ)'
plot(νx, νy,
xaxis = (L"\nu_x", (-1,1) .* (1.1 * kmax), (-1:1)*kmax),
yaxis = (L"\nu_y", (-1,1) .* (1.1 * kmax), (-1:1)*kmax),
psamp = plot(νx, νy, size = (420,400),
xaxis = (L"\nu_{\mathrm{x}}", (-1,1) .* (1.1 * kmax), (-1:1) * kmax),
yaxis = (L"\nu_{\mathrm{y}}", (-1,1) .* (1.1 * kmax), (-1:1) * kmax),
aspect_ratio = 1,
title = "Radial k-space sampling",
)

#
isinteractive() && prompt();
#src savefig(psamp, "sampling.pdf")


#=
For the NUFFT routines considered here,
Expand All @@ -102,7 +104,7 @@ digital frequencies have pseudo-units of radians / pixel.
Ωx = (2π * Δx) * νx # N × Nϕ grid of k-space sample locations
Ωy = (2π * Δx) * νy # in pseudo-units of radians / sample

scatter(Ωx, Ωy,
pom = scatter(Ωx, Ωy,
xaxis = (L"\Omega_x", (-1,1) .* 1.1π, ((-1:1)*π, ["-π", "0", "π"])),
yaxis = (L"\Omega_y", (-1,1) .* 1.1π, ((-1:1)*π, ["-π", "0", "π"])),
aspect_ratio = 1, markersize = 0.5,
Expand Down Expand Up @@ -143,10 +145,13 @@ x = (-(N÷2):(N÷2-1)) * Δx
y = (-(N÷2):(N÷2-1)) * Δx
ideal = phantom(x, y, object, 2)
clim = (0, 9)
p0 = jim(x, y, ideal; title="True Shepp-Logan phantom", clim)
p0 = jim(x, y, ideal; xlabel=L"x", ylabel=L"y", clim, size = (460,400),
title="True Shepp-Logan phantom")

#
isinteractive() && prompt();
#src savefig(p0, "ideal.pdf")


#=
## NUFFT operator
Expand Down Expand Up @@ -182,10 +187,13 @@ dcf = π / Nϕ * dν * abs.(kr) # see lauzon:96:eop, joseph:98:sei
dcf[kr .== 0/mm] .= π * (dν/2)^2 / Nϕ # area of center disk
dcf = dcf / oneunit(eltype(dcf)) # kludge: units not working with LinearMap now
gridded4 = A' * vec(dcf .* data)
p4 = jim(x, y, gridded4, title="NUFFT gridding with better ramp-filter DCF"; clim)
p4 = jim(x, y, gridded4; xlabel=L"x", ylabel=L"y", clim,
size = (460,400),
title="NUFFT gridding with better ramp-filter DCF")

#
isinteractive() && prompt();
#src savefig(p4, "gridding.pdf")


# A profile shows it is "decent" but not amazing.
Expand Down