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Fix some tests
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@roflmaostc
roflmaostc committed Dec 2, 2023
1 parent 6b64b5d commit 4f44246
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2 changes: 2 additions & 0 deletions src/iradon.jl
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@@ -1,5 +1,7 @@
export iradon

iradon(sinogram::AbstractArray{T, 3}, angles::AbstractArray{T2, 1}; backend=CPU()) where {T, T2} =
iradon(sinogram, T.(angles); backend)

function filtered_backprojection(sinogram::AbstractArray{T, 3}, θs, μ=nothing; backend=CPU()) where T
filter = similar(sinogram, (size(sinogram, 1),))
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4 changes: 4 additions & 0 deletions src/radon.jl
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@@ -1,5 +1,9 @@
export radon

radon(img::AbstractArray{T, 3}, angles::AbstractArray{T2, 1}; backend=CPU()) where {T, T2} =
radon(img, T.(angles); backend)


"""
radon(I, θs; backend=CPU())
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56 changes: 32 additions & 24 deletions test/notebook.jl
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@@ -1,5 +1,5 @@
### A Pluto.jl notebook ###
# v0.19.26
# v0.19.32

using Markdown
using InteractiveUtils
Expand All @@ -19,24 +19,24 @@ using RadonKA, ImageShow, IndexFunArrays, PlutoUI, CUDA

# ╔═╡ 071b6c72-86ec-461a-ad7d-adf0fc696399
begin
sinogram = zeros(Float32, (10, 2, 1))
sinogram = zeros(Float32, (9, 2, 1))
sinogram[5, :, 1] .= 1
end

# ╔═╡ 575487cf-faa2-41eb-9062-f030741be67b

simshow(sinogram[:, :, 1])

# ╔═╡ 7fcb40e4-4530-4ce1-a267-84b46309ab2a
@show iradon(sinogram, [0], 1)
@show iradon(sinogram, [0f0, π*1f0])

# ╔═╡ 49629e15-c5f4-42ff-b196-24e13124f8f3
@show I_r = iradon(sinogram, [2pi - pi/4], 1)
@show I_r = iradon(sinogram, Float32[2pi - pi/4])

# ╔═╡ be118fec-3051-47a4-bf15-ac9d8d8c8e2e
sum(iradon(sinogram, [2pi - pi/4], 1))
sum(iradon(sinogram, Float32[2pi - pi/4]))

# ╔═╡ 80970ba6-a09f-46db-8b15-fa7226cdc400
sum(iradon(sinogram, [0], 1))
sum(iradon(sinogram, Float32[0]))

# ╔═╡ c969f6d0-cfcc-4846-b970-9f6b734ac7cd
simshow(I_r[:, :, 1])
Expand Down Expand Up @@ -71,21 +71,21 @@ simshow(I_2[:,:,1])

# ╔═╡ 2435a78b-5142-483e-afaf-6091b78724a5
begin
sinogram_big = zeros(Float32, (30, 2, 1))
sinogram_big = zeros(Float32, (29, 2, 1))
sinogram_big[20, :, 1] .= 1
end

# ╔═╡ 8d9b6ea3-bbc0-48c1-a824-9749d6b8df0f
sum(iradon(sinogram_big, [0], 1)[:, :, 1])
sum(iradon(sinogram_big, [0f0])[:, :, 1])

# ╔═╡ 73a756d9-9984-4452-b90a-9cced7959813
sum(iradon(sinogram_big, [pi/4], 1)[:, :, 1])
sum(iradon(sinogram_big, [pi/4f0])[:, :, 1])

# ╔═╡ b1607e05-d9ac-46cc-83b0-0f2b2c433059
simshow(iradon(sinogram_big, [3.4], 1)[:, :, 1])
simshow(iradon(sinogram_big, [3.4f0])[:, :, 1])

# ╔═╡ 773e3961-e398-4d4b-a5e6-76b457561976
simshow(iradon(sinogram_big, [0], 1)[:, :, 1])
simshow(iradon(sinogram_big, [0])[:, :, 1])

# ╔═╡ 5103d58e-34c8-4b9c-a0ab-c4f88f436186
md"# Radon"
Expand Down Expand Up @@ -115,11 +115,11 @@ begin
i = 1
for θ in angles
cc = size(sg, 1) ÷ 2 + 1
x,y = (12, 9) .- (cc)
x,y = (11, 8) .- (cc)

x,y = [cos(θ) sin(θ); -sin(θ) cos(θ)] * [x, y]
y,x = [cos(θ) sin(θ); -sin(θ) cos(θ)] * [x, y]

c = cc + x - 1 + 1f-8
c = cc + x + 1f-8

c1 = floor(Int, c)
c2 = ceil(Int, c)
Expand All @@ -130,14 +130,20 @@ begin
end
end

# ╔═╡ e8f4af35-d908-4b0d-b5cd-6332a6a78964
theory

# ╔═╡ a9719576-ce8a-4adf-95e2-18e748bd5a02
15 ÷ 2

# ╔═╡ 5bceb117-c839-4bfb-84fe-2a92be024fa6
size(sg)

# ╔═╡ d35fcf11-fe18-494e-b5af-c5cba4b0a1a3
simshow(theory[:, :, 1])

# ╔═╡ a3c4fd5b-a297-4875-8389-b42d82fc0dfc
≈(sg, theory, rtol=0.1)

# ╔═╡ 3eead087-8400-4a22-9ef2-fc74a5c247ff

≈(sg, theory, rtol=0.3)

# ╔═╡ 937726a1-64af-4fac-8d86-d115533183a0
begin
Expand All @@ -159,7 +165,7 @@ simshow(radon(array2, [pi/2])[:, :, 1])
simshow(array[:, :, 1])

# ╔═╡ 00b91330-5aca-4c3f-9d35-3164fabaea04
sg2 = radon(array, [pi/2, pi + pi/2, 2pi+ pi/2], 1.0)
sg2 = radon(array, [pi/2, pi + pi/2, 2pi+ pi/2])

# ╔═╡ 7c75d09d-317c-4788-9df1-2644ef4d19fe
rad2deg(2.356194490192345)
Expand All @@ -174,10 +180,10 @@ exp(-9)
simshow(sg2[:, :, 1])

# ╔═╡ c242d6c2-b19c-4cc1-b7dd-d54394eddfc6
@show radon(array, range(0, pi, 8), 1.0);
@show radon(array, range(0, pi, 8));

# ╔═╡ 08f287ca-21e9-4ffe-b21d-ec036aca39f4
a = radon(array, [0, pi/2, pi, pi + pi/2,2pi], 1.0);
a = radon(array, [0, pi/2, pi, pi + pi/2,2pi]);

# ╔═╡ f07ccb05-518d-43f2-bbdf-c2851fa1b6aa
maximum(a, dims=1)
Expand All @@ -192,7 +198,7 @@ simshow(a[:, :, 1])
simshow(array[:, :, 1])

# ╔═╡ 18c39411-899a-445b-8433-b524cf395ea0
radon(zeros((128, 128, 1)), range(0, 2pi, 300), 1.0)
radon(zeros((128, 128, 1)), range(0, 2pi, 300))

# ╔═╡ Cell order:
# ╠═1f8b489e-1028-11ee-3580-150afa948930
Expand Down Expand Up @@ -222,11 +228,13 @@ radon(zeros((128, 128, 1)), range(0, 2pi, 300), 1.0)
# ╠═2312af02-941f-4ab2-b8b8-02ba437bf5d0
# ╠═efe3724b-0ec0-48db-98ae-8ae7d924419a
# ╠═a1a808eb-316d-4e6b-b42a-11c45b55ae36
# ╠═e8f4af35-d908-4b0d-b5cd-6332a6a78964
# ╠═13d70988-d480-4915-b9e6-67622d7dbca8
# ╠═fba7aedc-612c-40fd-b7b2-ebb1c364faa2
# ╠═a9719576-ce8a-4adf-95e2-18e748bd5a02
# ╠═5bceb117-c839-4bfb-84fe-2a92be024fa6
# ╠═d35fcf11-fe18-494e-b5af-c5cba4b0a1a3
# ╠═a3c4fd5b-a297-4875-8389-b42d82fc0dfc
# ╠═3eead087-8400-4a22-9ef2-fc74a5c247ff
# ╠═937726a1-64af-4fac-8d86-d115533183a0
# ╠═8ce53564-3bdf-4ab7-9ec5-cd4560fdd4be
# ╠═53baff4f-25a4-4659-9b08-ee0d6abf3d05
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79 changes: 22 additions & 57 deletions test/runtests.jl
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Expand Up @@ -6,68 +6,33 @@ using Test

@testset "radon without absorption" begin

array = zeros((16, 16,1))
array = zeros((16, 16,1))
array[12,9] = 1

angles = range(0, 2pi, 100)
sg = radon(array, angles)
begin
theory = zeros(size(sg))
theory = zeros(size(sg))

i = 1
for θ in angles
cc = size(sg, 1) ÷ 2 + 1
x,y = (11, 8) .- (cc)

y,x = [cos(θ) sin(θ); -sin(θ) cos(θ)] * [x, y]

c = cc + x + 1f-8

c1 = floor(Int, c)
c2 = ceil(Int, c)

theory[c1, i] += (c2 - c)
theory[c2, i] += (c - c1)
i += 1
end

@test ≈(sg, theory, rtol=0.3)

i = 1
for θ in angles
cc = size(sg, 1) ÷ 2 + 1
x,y = (12, 9) .- (cc)

x,y = [cos(θ) sin(θ); -sin(θ) cos(θ)] * [x, y]

c = cc + x - 1 + 1f-8

c1 = floor(Int, c)
c2 = ceil(Int, c)

theory[c1, i] += (c2 - c)
theory[c2, i] += (c - c1)
i += 1
end
end

@test ≈(sg, theory, rtol=0.1)


begin
array2 = zeros((16, 16,1))
array2[12,9] = 1
array2[12, 12] = 1
end


@test radon(array, range(0, pi, 8), 1.0) ≈ [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0013106791246981077 0.0059024956158884164; 0.0 0.0 0.0 0.0 0.0 0.00035964724781605066 0.00023070310021843104 0.0; 0.0 0.0 0.0 0.0 0.00010934973082693491 4.091501530026382e-5 0.0 0.0; 0.0 0.0 0.0 3.8440644349164666e-5 3.8440644349164666e-5 0.0 0.0 0.0; 0.0 0.0 4.0915015300263786e-5 0.00010934973082693491 0.0 0.0 0.0 0.0; 0.0 0.00023070310021842976 0.0003596472478160496 0.0 0.0 0.0 0.0 0.0; 0.0059024956158884164 0.001310679124698108 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0;;;]

@test radon(array, range(0, pi, 8), 1.0) ≈ [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0013106791246981077 0.0059024956158884164; 0.0 0.0 0.0 0.0 0.0 0.00035964724781605066 0.00023070310021843104 0.0; 0.0 0.0 0.0 0.0 0.00010934973082693491 4.091501530026382e-5 0.0 0.0; 0.0 0.0 0.0 3.8440644349164666e-5 3.8440644349164666e-5 0.0 0.0 0.0; 0.0 0.0 4.0915015300263786e-5 0.00010934973082693491 0.0 0.0 0.0 0.0; 0.0 0.00023070310021842976 0.0003596472478160496 0.0 0.0 0.0 0.0 0.0; 0.0059024956158884164 0.001310679124698108 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0;;;]

end




@testset "iradon without absorption" begin
sinogram = zeros((10, 2, 1))
sinogram[5, :, 1] .= 1

@test iradon(sinogram, [0.0f0, pi / 2.0f0]) == [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0; 0.0 0.5 0.5 0.5 0.5 1.0 0.5 0.5 0.5 0.5; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.0;;;]
@test iradon(sinogram, [0]) == [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0;;;]

end

@testset "iradon with absorption" begin
sinogram = zeros((10, 2, 1))
sinogram[5, :, 1] .= 1

@test iradon(sinogram, [0], 1.0) ≈ [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.00033546262 0.000911882 0.0024787523 0.006737947 0.01831564 0.049787067 0.13533528 0.36787945 1.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0;;;]

@test iradon(sinogram, [pi], 1.0) ≈ [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 1.0 0.36787945 0.13533528 0.049787067 0.01831564 0.006737947 0.0024787523 0.000911882 0.00033546262; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0;;;]

@test iradon(sinogram, [pi + pi / 2], 1.0) ≈ [0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.00033546262 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.000911882 9.196053f-19 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.0024787523 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.006737947 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.01831564 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.049787067 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 0.13533528 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 3.7099527f-16 0.36787945 0.0 0.0 0.0 0.0; 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0;;;]
end

end

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