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warp.jl
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warp.jl
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using CoordinateTransformations, Rotations, TestImages, ImageCore, StaticArrays, OffsetArrays, Interpolations, LinearAlgebra
using EndpointRanges
using Tau
using Test, ReferenceTests
include("twoints.jl")
img_camera = testimage("camera")
@testset "Interface tests" begin
tfm = recenter(RotMatrix(pi/8), center(img_camera))
ref_inds = (-78:591, -78:591)
ref_size = map(length,ref_inds)
@testset "warp" begin
imgr = @inferred(warp(img_camera, tfm))
@test typeof(imgr) <: OffsetArray
@test axes(imgr) == ref_inds
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg.txt" imgr
imgr2 = imgr[axes(img_camera)...]
@test_reference "reference/warp_cameraman_rotate_r22deg_crop.txt" imgr2
imgr = @inferred(warp(img_camera, tfm, axes(img_camera)))
@test typeof(imgr) <: Array
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop.txt" imgr
imgr = @inferred(warp(img_camera, tfm, axes(img_camera); fillvalue=1))
@test typeof(imgr) <: Array
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop_white.txt" imgr
imgr = @inferred(warp(img_camera, tfm, axes(img_camera); method=Linear(), fillvalue=1))
@test typeof(imgr) <: Array
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop_white.txt" imgr
imgr = @inferred(warp(img_camera, tfm; fillvalue=1))
@test typeof(imgr) <: OffsetArray
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_white.txt" imgr
imgr2 = @inferred warp(imgr, inv(tfm))
@test eltype(imgr2) == eltype(img_camera)
@test_reference "reference/warp_cameraman.txt" imgr2[axes(img_camera)...]
# look the same but are not similar enough to pass test
# @test imgr2[axes(img_camera)...] ≈ img_camera
imgr = @inferred(warp(img_camera, tfm; fillvalue=Flat()))
@test typeof(imgr) <: OffsetArray
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_flat.txt" imgr
imgr = @inferred(warp(img_camera, tfm, ref_inds; fillvalue=Flat()))
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_flat.txt" imgr
imgr = @inferred(warp(img_camera, tfm; method=Constant(), fillvalue=Periodic()))
@test typeof(imgr) <: OffsetArray
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_periodic.txt" imgr
imgr = @inferred(warp(img_camera, tfm, ref_inds; method=Constant(), fillvalue=Periodic()))
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_periodic.txt" imgr
# Ensure that dynamic arrays work as transformations
tfmd = AffineMap(Matrix(tfm.linear), Vector(tfm.translation))
imgrd = @inferred(warp(img_camera, tfmd))
imgrd = warp(img_camera, tfmd)
@test imgrd == warp(img_camera, tfm)
tfmd = LinearMap(Matrix(tfm.linear))
@test @inferred(warp(img_camera, tfmd)) == warp(img_camera, LinearMap(tfm.linear))
tfmd = Translation([-2, 2])
@test @inferred(warp(img_camera, tfmd)) == warp(img_camera, Translation(-2, 2))
@test_throws DimensionMismatch warp(img_camera, Translation([1,2,3]))
# Since Translation can be constructed from any iterable, check that we support this too.
# (This ensures the fallback for `_getindex` gets called even if we fix the issue by other means)
tfmt = Translation(TwoInts(1, 2))
@test tfmt isa Translation{TwoInts}
imgt = warp(img_camera, tfmt) # not necessarily inferrable, that's OK
@test imgt == warp(img_camera, Translation(1,2))
end
@testset "WarpedView" begin
imgr = @inferred(WarpedView(img_camera, tfm))
@test_nowarn summary(imgr)
@test @inferred(getindex(imgr,2,2)) == imgr[2,2]
@test typeof(imgr[2,2]) == eltype(imgr)
@test size(imgr) == ref_size
@test parent(imgr) === img_camera
@test typeof(imgr) <: WarpedView
@test axes(imgr) == ref_inds
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg.txt" imgr
imgr2 = imgr[axes(img_camera)...]
@test_reference "reference/warp_cameraman_rotate_r22deg_crop.txt" imgr2
imgr = @inferred(WarpedView(img_camera, tfm, axes(img_camera)))
@test_nowarn summary(imgr)
@test @inferred(size(imgr)) == size(img_camera)
@test @inferred(size(imgr,3)) == 1
@test parent(imgr) === img_camera
@test axes(imgr) === axes(img_camera)
@test typeof(imgr) <: WarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop.txt" imgr
imgr = @inferred(WarpedView(img_camera, tfm, axes(img_camera); fillvalue=1))
@test_nowarn summary(imgr)
@test @inferred(size(imgr)) == size(img_camera)
@test @inferred(size(imgr,3)) == 1
@test parent(imgr) === img_camera
@test axes(imgr) === axes(img_camera)
@test typeof(imgr) <: WarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop_white.txt" imgr
imgr = @inferred(WarpedView(img_camera, tfm, axes(img_camera); method=Linear(), fillvalue=1))
@test_nowarn summary(imgr)
@test @inferred(size(imgr)) == size(img_camera)
@test @inferred(size(imgr,3)) == 1
@test parent(imgr) === img_camera
@test axes(imgr) === axes(img_camera)
@test typeof(imgr) <: WarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop_white.txt" imgr
imgr = @inferred(WarpedView(img_camera, tfm; fillvalue=1))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test parent(imgr) === img_camera
@test typeof(imgr) <: WarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_white.txt" imgr
imgr2 = @inferred WarpedView(imgr, inv(tfm))
@test eltype(imgr2) == eltype(img_camera)
@test_reference "reference/warp_cameraman.txt" imgr2[axes(img_camera)...]
# look the same but are not similar enough to pass test
# @test imgr2[axes(img_camera)...] ≈ img_camera
imgr = @inferred(WarpedView(img_camera, tfm; fillvalue=Flat()))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test parent(imgr) === img_camera
@test typeof(imgr) <: WarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_flat.txt" imgr
imgr = @inferred(WarpedView(img_camera, tfm, ref_inds; fillvalue=Flat()))
@test eltype(imgr) == eltype(img_camera)
@test axes(imgr) === ref_inds
@test_reference "reference/warp_cameraman_rotate_r22deg_flat.txt" imgr
imgr = @inferred(WarpedView(img_camera, tfm; method=Constant(), fillvalue=Periodic()))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test parent(imgr) === img_camera
@test typeof(imgr) <: WarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_periodic.txt" imgr
imgr = @inferred(WarpedView(img_camera, tfm, ref_inds; method=Constant(), fillvalue=Periodic()))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test parent(imgr) === img_camera
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_periodic.txt" imgr
end
tfm = recenter(RotMatrix(-pi/8), center(img_camera))
@testset "invwarpedview" begin
wv = @inferred(InvWarpedView(img_camera, tfm))
@test wv ≈ @inferred(InvWarpedView(WarpedView(img_camera, inv(tfm))))
@test_reference "reference/invwarpedview_cameraman_rotate_r22deg.txt" wv
@test size(wv) == ref_size
@test axes(wv) == ref_inds
@test eltype(wv) === eltype(img_camera)
@test parent(wv) === img_camera
# check nested transformation using the inverse
wv2 = @inferred(InvWarpedView(wv, inv(tfm)))
@test axes(wv2) == axes(img_camera)
@test eltype(wv2) === eltype(img_camera)
@test parent(wv2) === img_camera
@test_skip wv2 ≈ img_camera # see discussion in #143
@test wv2[ibegin+1:iend-1,ibegin+1:iend-1] ≈ img_camera[ibegin+1:iend-1,ibegin+1:iend-1] # TODO: change to begin/end, drop EndpointRanges
imgr = @inferred(InvWarpedView(img_camera, tfm))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test typeof(imgr) <: InvWarpedView
@test parent(imgr) === img_camera
@test axes(imgr) == ref_inds
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg.txt" imgr
imgr2 = imgr[axes(img_camera)...]
@test_reference "reference/warp_cameraman_rotate_r22deg_crop.txt" imgr2
imgr = @inferred(InvWarpedView(img_camera, tfm, axes(img_camera)))
@test imgr2 == imgr
@test_nowarn summary(imgr)
@test @inferred(size(imgr)) == size(img_camera)
@test axes(imgr) === axes(img_camera)
@test parent(imgr) === img_camera
@test typeof(imgr) <: InvWarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop.txt" imgr
imgr = @inferred(InvWarpedView(img_camera, tfm, axes(img_camera); fillvalue=1))
@test_nowarn summary(imgr)
@test @inferred(size(imgr)) == size(img_camera)
@test parent(imgr) === img_camera
@test typeof(imgr) <: InvWarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop_white.txt" imgr
imgr = @inferred(InvWarpedView(img_camera, tfm, axes(img_camera); method=Linear(), fillvalue=1))
@test_nowarn summary(imgr)
@test @inferred(size(imgr)) == size(img_camera)
@test parent(imgr) === img_camera
@test axes(imgr) === axes(img_camera)
@test typeof(imgr) <: InvWarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_crop_white.txt" imgr
imgr = @inferred(InvWarpedView(img_camera, tfm; fillvalue=1))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test axes(imgr) === ref_inds
@test parent(imgr) === img_camera
@test typeof(imgr) <: InvWarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_white.txt" imgr
imgr = @inferred(InvWarpedView(img_camera, tfm; fillvalue=Flat()))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test parent(imgr) === img_camera
@test typeof(imgr) <: InvWarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_flat.txt" imgr
imgr = @inferred(InvWarpedView(img_camera, tfm, ref_inds; fillvalue=Flat()))
@test parent(imgr) === img_camera
@test eltype(imgr) == eltype(img_camera)
@test axes(imgr) === ref_inds
@test_reference "reference/warp_cameraman_rotate_r22deg_flat.txt" imgr
imgr = @inferred(InvWarpedView(img_camera, tfm; method=Constant(), fillvalue=Periodic()))
@test_nowarn summary(imgr)
@test size(imgr) == ref_size
@test axes(imgr) == ref_inds
@test parent(imgr) === img_camera
@test typeof(imgr) <: InvWarpedView
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_periodic.txt" imgr
imgr = @inferred(InvWarpedView(img_camera, tfm, ref_inds; method=Constant(), fillvalue=Periodic()))
@test_nowarn summary(imgr)
@test parent(imgr) === img_camera
@test size(imgr) == ref_size
@test axes(imgr) == ref_inds
@test eltype(imgr) == eltype(img_camera)
@test_reference "reference/warp_cameraman_rotate_r22deg_periodic.txt" imgr
end
@testset "InvWarpedView on SubArray" begin
tfm = recenter(RotMatrix(-pi/8), center(img_camera))
img = similar(img_camera)
v = view(img, 75:195, 245:370)
v .= view(img_camera, v.indices...)
wv = InvWarpedView(v, tfm)
@test wv isa InvWarpedView
@test parent(wv) == v
@test axes(wv) == (-78:82, 72:234)
# boundaries are filled with 0 values
@test all(wv[first(axes(wv, 1)), :] .== 0)
@test all(wv[last(axes(wv, 1)), :] .== 0)
@test all(wv[:, first(axes(wv, 2))] .== 0)
@test all(wv[:, last(axes(wv, 2))] .== 0)
# Out-of-domain values are not used to generate the warp view
v = view(img_camera, 75:195, 245:370)
wv2 = InvWarpedView(v, tfm)
@test wv2 == wv == warp(v, inv(tfm))
end
@testset "3d warps" begin
img = testimage("mri")
θ = π/8
tfm = AffineMap(RotZ(θ), (I - RotZ(θ))*center(img))
imgr = WarpedView(img, tfm, axes(img))
@test axes(imgr) == axes(img)
end
end
img_pyramid = Gray{Float64}[
0.0 0.0 0.0 0.0 0.0;
0.0 0.5 0.5 0.5 0.0;
0.0 0.5 1.0 0.5 0.0;
0.0 0.5 0.5 0.5 0.0;
0.0 0.0 0.0 0.0 0.0;
]
img_pyramid_cntr = OffsetArray(img_pyramid, -2:2, -2:2)
ref_img_pyramid = Float64[
NaN NaN NaN NaN NaN NaN NaN;
NaN NaN NaN 0.172 NaN NaN NaN;
NaN NaN 0.293 0.543 0.293 NaN NaN;
NaN 0.172 0.543 1.000 0.543 0.172 NaN;
NaN NaN 0.293 0.543 0.293 NaN NaN;
NaN NaN NaN 0.172 NaN NaN NaN;
NaN NaN NaN NaN NaN NaN NaN;
]
ref_img_pyramid_quad = Float64[
NaN NaN NaN 0.003 NaN NaN NaN;
NaN NaN -0.038 0.205 -0.038 NaN NaN;
NaN -0.038 0.255 0.635 0.255 -0.038 NaN;
0.003 0.205 0.635 1.0 0.635 0.205 0.003;
NaN -0.038 0.255 0.635 0.255 -0.038 NaN;
NaN NaN -0.038 0.205 -0.038 NaN NaN;
NaN NaN NaN 0.003 NaN NaN NaN;
]
ref_img_pyramid_grid = Float64[
NaN NaN NaN NaN NaN NaN NaN;
NaN NaN NaN 0.157977 NaN NaN NaN;
NaN NaN 0.223858 0.654962 0.223858 NaN NaN;
NaN 0.157977 0.654962 1.0 0.654962 0.157977 NaN;
NaN NaN 0.223858 0.654962 0.223858 NaN NaN;
NaN NaN NaN 0.157977 NaN NaN NaN;
NaN NaN NaN NaN NaN NaN NaN;
]
ref_img_pyramid_lanczos = Float64[
NaN NaN NaN NaN NaN NaN NaN
NaN NaN NaN 0.204 NaN NaN NaN
NaN NaN 0.22 0.649 0.22 NaN NaN
NaN 0.204 0.649 1.0 0.649 0.204 NaN
NaN NaN 0.22 0.649 0.22 NaN NaN
NaN NaN NaN 0.204 NaN NaN NaN
NaN NaN NaN NaN NaN NaN NaN
]
@testset "Result against reference" begin
tfm1 = recenter(RotMatrix(pi/4), center(img_pyramid))
tfm2 = LinearMap(RotMatrix(pi/4))
@testset "warp" begin
imgr = warp(img_pyramid, tfm1)
@test axes(imgr) == (0:6, 0:6)
@test eltype(imgr) == eltype(img_pyramid)
# Use map and === because of the NaNs
@test nearlysame(round.(Float64.(parent(imgr)), digits=3), round.(ref_img_pyramid,digits=3))
# https://discourse.julialang.org/t/translate-images-by-subpixel-amounts/30248/4
a = [1 2 3; 4 5 6]
t = Translation(.9, .9)
b = warp(a, t, indices_spatial(a); fillvalue=0)
@test b[1,1] ≈ 0.9^2*5 + 0.1*0.9*(4+2) + 0.1^2*1
@testset "OffsetArray" begin
imgr_cntr = warp(img_pyramid_cntr, tfm2)
@test axes(imgr_cntr) == (-3:3, -3:3)
@test nearlysame(parent(imgr_cntr), parent(imgr))
imgr_cntr = warp(img_pyramid_cntr, tfm2, (-1:1,-1:1))
@test axes(imgr_cntr) == (-1:1, -1:1)
@test nearlysame(parent(imgr_cntr), imgr[2:4,2:4])
end
@testset "Method kwarg" begin
imgr_cntr = warp(img_pyramid_cntr, tfm2, method=Linear())
@test axes(imgr_cntr) == (-3:3, -3:3)
@test nearlysame(parent(warp(img_pyramid_cntr, tfm2)), parent(warp(img_pyramid_cntr, tfm2, method=Linear())))
imgr_cntr = warp(img_pyramid_cntr, tfm2, (-1:1,-1:1), method=Linear())
@test axes(imgr_cntr) == (-1:1, -1:1)
@test nearlysame(parent(imgr_cntr), imgr[2:4,2:4])
imgr_cntr = warp(img_pyramid_cntr, tfm2, method=BSpline(Linear()))
@test axes(imgr_cntr) == (-3:3, -3:3)
@test nearlysame(parent(imgr_cntr), parent(imgr))
imgr_cntr = warp(img_pyramid_cntr, tfm2, (-1:1, -1:1), method=BSpline(Linear()))
@test axes(imgr_cntr) == (-1:1, -1:1)
@test nearlysame(parent(imgr_cntr), imgr[2:4,2:4])
imgr_cntr = warp(img_pyramid_cntr, tfm2, method=Lanczos4OpenCV())
@test axes(imgr_cntr) == (-3:3, -3:3)
@test nearlysame(round.(Float64.(parent(imgr_cntr)), digits=3), round.(ref_img_pyramid_lanczos, digits=3))
end
@testset "Quadratic Interpolation" begin
itp = interpolate(img_pyramid_cntr, BSpline(Quadratic(Flat(OnCell()))))
imgrq_cntr = warp(itp, tfm2)
@test axes(imgrq_cntr) == (-3:3, -3:3)
@test nearlysame(round.(Float64.(parent(imgrq_cntr)), digits=3), round.(ref_img_pyramid_quad, digits=3))
imgrq_cntr = warp(img_pyramid_cntr, tfm2, method=Quadratic(Flat(OnGrid())))
@test axes(imgrq_cntr) == (-3:3, -3:3)
@test nearlysame(round.(Float64.(parent(imgrq_cntr)), digits=3), round.(ref_img_pyramid_grid, digits=3))
end
end
@testset "InvWarpedView" begin
imgr = InvWarpedView(img_pyramid, inv(tfm1))
@test axes(imgr) == (0:6, 0:6)
# Use map and === because of the NaNs
@test nearlysame(round.(Float64.(imgr[0:6, 0:6]), digits=3), round.(ref_img_pyramid, digits=3))
@testset "OffsetArray" begin
imgr_cntr = InvWarpedView(img_pyramid_cntr, inv(tfm2))
@test axes(imgr_cntr) == (-3:3, -3:3)
@test nearlysame(imgr_cntr[axes(imgr_cntr)...], imgr[axes(imgr)...])
end
@testset "Quadratic Interpolation" begin
itp = interpolate(img_pyramid_cntr, BSpline(Quadratic(Flat(OnCell()))))
imgrq_cntr = InvWarpedView(itp, inv(tfm2))
@test parent(imgrq_cntr) === itp
@test_nowarn summary(imgrq_cntr)
@test axes(imgrq_cntr) == (-3:3, -3:3)
@test eltype(imgrq_cntr) == eltype(img_pyramid_cntr)
@test nearlysame(round.(Float64.(imgrq_cntr[axes(imgrq_cntr)...]), digits=3), round.(ref_img_pyramid_quad, digits=3))
end
end
@testset "imrotate" begin
# imrotate is a wrapper, hence only need to guarantee the interface works as expected
test_types = (Float32, Float64, N0f8, N0f16)
graybar = repeat(range(0,stop=1,length=100),1,100)
@testset "interface" begin
for T in test_types
img = Gray{T}.(graybar)
@test_nowarn imrotate(img, π/4)
@test_nowarn imrotate(img, π/4, method=Linear())
@test_nowarn imrotate(img, π/4, method=Lanczos4OpenCV())
@test_nowarn imrotate(img, π/4, axes(img))
@test_nowarn imrotate(img, π/4, axes(img), method=Constant())
@test_nowarn imrotate(img, π/4, axes(img), method=Constant(), fillvalue=1)
@test nearlysame(imrotate(img, π/4, method=Linear()), imrotate(img, π/4, method=BSpline(Linear())))
@test nearlysame(imrotate(img, π/4), imrotate(img, π/4; method=Linear(), fillvalue= ImageTransformations._default_fillvalue(eltype(T))))
end
end
@testset "numerical" begin
for T in test_types
img = Gray{T}.(graybar)
for θ in range(0,stop=2π,length = 100)
@test nearlysame(imrotate(img,θ), imrotate(img,θ+2π))
end
end
end
@testset "issue #147" begin
img = Float64[1 2 3 4; 5 6 7 8; 9 10 11 12; 13 14 15 16]
trfm = recenter(RotMatrix(pi/2), center(img))
@test imrotate(img, π/2) ≈ warp(img, trfm) ≈ rotr90(img)
@test any(isnan, imrotate(img, π/3))
@test !any(isnan, imrotate(img, π/3; fillvalue=0.0))
@test !any(isnan, imrotate(img, π/3, fillvalue=0.0))
@test any(isnan, imrotate(img, π/3, axes(img)))
@test !any(isnan, imrotate(img, π/3, axes(img); fillvalue=0.0))
@test !any(isnan, imrotate(img, π/3, axes(img), fillvalue=0.0))
end
@testset "Examples from #79" begin
@test axes(imrotate(img_camera, pi/2)) == axes(img_camera)
@test imrotate(imrotate(imrotate(imrotate(img_camera, pi/2), pi/2), pi/2), pi/2) ≈ img_camera
@test imrotate(imrotate(img_camera, pi), pi) == img_camera
# Also check a "generic" irrational (one that happens to be quite special)
## First, check that this hits the generic code path (if we change that, pick a different irrational)
@test ImageTransformations._mod2pi(τ) isa Float64
## Now check that it gives the expected result
@test imrotate(img_camera, τ) ≈ img_camera
# check special rotation degrees
img = rand(Gray{N0f8}, 100, 50)
@test size(imrotate(img, pi/2)) == (50, 100)
@test size(imrotate(img, pi)) == (100, 50)
@test size(imrotate(img, 3pi/2)) == (50, 100)
@test size(imrotate(img, 2pi)) == (100, 50)
end
@testset "issue #154" begin
img = rand(Gray{N0f8}, 100, 50)
@test imrotate(img, pi) == imrotate(img, 1.0 * pi)
end
end
end