From 624da4008a3a3da35af61690dd16af3f8e956bf1 Mon Sep 17 00:00:00 2001 From: "Dr. Zygmunt L. Szpak" Date: Mon, 4 Jun 2018 17:23:32 +0930 Subject: [PATCH 1/2] Adds demonstration of fundamental matrix estimation --- data/sene-adelaideRMF.mat | Bin 0 -> 766659 bytes demo/example_fundamental_matrix.jl | 58 +++++++++++++++++++++++++++++ 2 files changed, 58 insertions(+) create mode 100644 data/sene-adelaideRMF.mat create mode 100644 demo/example_fundamental_matrix.jl diff --git a/data/sene-adelaideRMF.mat b/data/sene-adelaideRMF.mat new file mode 100644 index 0000000000000000000000000000000000000000..da2ffcfade63a74240edf1be8d9b050297f178fb GIT binary patch literal 766659 zcmV)XK&`(`K~zjZLLfCRFd$7qR4ry{Y-KDUP;6mzW^ZzBIv`L(S4mDbG%O%Pa%Ew3 zWn>_4ZaN@MZ*Cw;b#5RaG$1iEIxsUjGBO}CFflkFARr(hARr(hARr(hARr(hARr(h zARr(hARr(hARr(hARr(hARr(B00000000000ZB~{0000G-UR@7oGh7VdmHDut-a6L z62*p2f=#j{J3GmVx8f*DNj4H)#oE=qEXlWTuCf8zYD z^Fqm7903Fd`fzhSYprMCdgq;YsD-h2u7byF;2eMFU&j@2PJwglKi+xg|AF&=|NHg- 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Szpak" Date: Thu, 14 Jun 2018 22:02:32 +0930 Subject: [PATCH 2/2] Adds demonstration of fundamental matrix estimation Adds a demonstration and visualisation of fundamental matrix estimation using the direct linear transformon on a pair of images taken from the AdelaideRMF dataset. Some functions for plotting epipolar lines in images are included in this commit. --- demo/example_fundamental_matrix.jl | 99 ++++++++++++++++-------------- src/MultipleViewGeometry.jl | 7 ++- src/draw/ModuleDraw.jl | 9 +++ src/draw/draw.jl | 48 +++++++++++++++ src/projection/epipole.jl | 2 +- 5 files changed, 117 insertions(+), 48 deletions(-) create mode 100644 src/draw/ModuleDraw.jl create mode 100644 src/draw/draw.jl diff --git a/demo/example_fundamental_matrix.jl b/demo/example_fundamental_matrix.jl index 7141d15..1f83423 100644 --- a/demo/example_fundamental_matrix.jl +++ b/demo/example_fundamental_matrix.jl @@ -1,58 +1,65 @@ -using MultipleViewGeometry, Images, ImageFeatures, ImageView +using MultipleViewGeometry, Images using BenchmarkTools, Compat -using StaticArrays, MAT, Plots, PyPlot +using StaticArrays, MAT, Plots +# Load MATLAB matrices that represent a pair of images and that contain +# a set of manually matched corresponding points. file = matopen("./data/sene-adelaideRMF.mat") -# img1 = read(file,"img1") -# img2 = read(file,"img2") img1 = colorview(RGB, normedview(permutedims(read(file,"img1"),[3,1,2]))) img2 = colorview(RGB, normedview(permutedims(read(file,"img2"),[3,1,2]))) inlier_pts1 = read(file,"inlierPts1") inlier_pts2 = read(file,"inlierPts2") close(file) +# Conver the images to Grayscale. img1g = Gray.(img1) img2g = Gray.(img2) -x = 1:10; y = rand(10); # These are the plotting data -plot(x,y) -#pyplot() -plotly() - -p = Plots.plot(img1g) -Plots.plot!(inlier_pts1[1,:],inlier_pts1[2,:],seriestype=:scatter,w=5) - -p2 = Plots.plot(img2g) -Plots.plot!(inlier_pts2[1,:],inlier_pts2[2,:],seriestype=:scatter,w=5) - -#Plots.plot(img1g) -#Plots.plot!(x->200sin(.05x)+300, 0, 700, seriestype=:scatter,w=5) - -#img = reinterpret(N0f8, img1) -# test = permutedims(img1,[3,1,2]) -# img_l = colorview(RGB, normedview(test)) -# img_r = colorview(RGB, normedview(test)) -# img1 = Gray.(img1) -# -# img = colorview(Gray,img1) -# -# colorview(RGB,img1) -# -# img = reinterpret(N0f8, img1) -# test = colorview(RGB,img,size(img)) -# -# test = channelview(img) -# -# Gray.(test) -# -# test = permutedims(img,[3,1,2]) -# Gray.(channelview(test)) -# Gray.(test) -# -# colorview(RGB, normedview(test)) - - -# using PyPlot -# x = linspace(0,2*pi,1000); y = sin.(3 * x + 4 * cos.(2 * x)); -# plot(x, y, color="red", linewidth=2.0, linestyle="--") -# title("A sinusoidally modulated sinusoid") +plotlyjs() + +_, npts1 = size(inlier_pts1) +_, npts2 = size(inlier_pts2) + +# Construct a set of corresponding points expressed in homogeneous coordinates. +β„³ = [ Point2DH(vcat(inlier_pts1[:,n],1)) for n in 1:npts1] +β„³ΚΉ = [ Point2DH(vcat(inlier_pts2[:,n],1)) for n in 1:npts2] + +# Estimate the Fundamental matrix from the corresponding points using the +# Direct Linear Transform algorithm. +𝐅₀ = estimate(FundamentalMatrix(),DirectLinearTransform(), (β„³, β„³ΚΉ)) + +# Plot Keypoints, epipole and concomitant epipolar lines in the first view. +p1 = Plots.plot(img1g,grid = false, box = :none, legend = false, size = (455,341)) +for n = 1:25:npts1 + m = β„³[n] + # Epipolar line in the first image. + l = 𝑛(𝐅₀'*β„³ΚΉ[n]) + draw!(EpipolarLineGraphic(), l, size(img1), p1) + # Keypoint. + Plots.plot!([m[1]],[m[2]], grid = false, box = :none, legend = false, + seriestype = :scatter, w = 5, aspect_ratio = :equal) +end +e = epipole(𝐅₀) +Plots.plot!([e[1]],[e[2]], grid = false, box = :none, legend = false, + seriestype = :scatter, markershape = :diamond, markerstrokecolor = :red, + markersize = 5, aspect_ratio = :equal) + +# Plot Keypoints and concomitant epipolar lines in the second view. +p2 = Plots.plot(img2g,grid = false, box = :none, legend = false) +for n = 1:25:npts2 + mΚΉ = β„³ΚΉ[n] + # Epipolar line in the second image. + l = 𝑛(𝐅₀*β„³[n]) + draw!(EpipolarLineGraphic(), l, size(img2), p2) + Plots.plot!([mΚΉ[1]],[mΚΉ[2]], grid = false, box = :none, legend = false, + seriestype = :scatter, w = 5, aspect_ratio = :equal) +end +eΚΉ = epipole(𝐅₀') +Plots.plot!([eΚΉ[1]],[eΚΉ[2]], grid = false, box = :none, legend = false, + seriestype = :scatter, markershape = :diamond, markerstrokecolor = :red, + markersize = 5, aspect_ratio = :equal) + + +# Display both views simultaneously. +p3 = Plots.plot(p1,p2,layout=(1,2), legend = false) +display(p3) diff --git a/src/MultipleViewGeometry.jl b/src/MultipleViewGeometry.jl index da38fa2..9cf085f 100644 --- a/src/MultipleViewGeometry.jl +++ b/src/MultipleViewGeometry.jl @@ -42,7 +42,7 @@ export construct export construct # Functions exported from `project.jl` -export project +export project, epipole # Functions exported from `rotations.jl` export rotx, roty, rotz, rotxyz, rodrigues2matrix @@ -50,6 +50,9 @@ export rotx, roty, rotz, rotxyz, rodrigues2matrix # Functions exported from `cost_functions.jl` export cost, X, covariance_matrix, covariance_matrix_debug +# Functions exported from `draw.jl` +export draw!, EpipolarLineGraphic + include("math_aliases/ModuleMathAliases.jl") include("types/ModuleTypes.jl") include("operators/ModuleOperators.jl") @@ -62,6 +65,7 @@ include("moments/ModuleMoments.jl") include("cost_function/ModuleCostFunction.jl") include("estimate/ModuleEstimation.jl") include("construct/ModuleConstruct.jl") +include("draw/ModuleDraw.jl") using .ModuleMathAliases @@ -76,6 +80,7 @@ using .ModuleEstimation using .ModuleMoments using .ModuleCostFunction using .ModuleConstruct +using .ModuleDraw # package code goes here diff --git a/src/draw/ModuleDraw.jl b/src/draw/ModuleDraw.jl new file mode 100644 index 0000000..a1c3046 --- /dev/null +++ b/src/draw/ModuleDraw.jl @@ -0,0 +1,9 @@ +module ModuleDraw +using MultipleViewGeometry.ModuleTypes, MultipleViewGeometry.ModuleOperators, MultipleViewGeometry.ModuleMathAliases +using StaticArrays +using Plots, Plotly +using Juno + +export draw!, EpipolarLineGraphic +include("draw.jl") +end diff --git a/src/draw/draw.jl b/src/draw/draw.jl new file mode 100644 index 0000000..eadf1d7 --- /dev/null +++ b/src/draw/draw.jl @@ -0,0 +1,48 @@ +abstract type GraphicEntity end + +type EpipolarLineGraphic <: GraphicEntity +end + + +function draw!(g::EpipolarLineGraphic, l::AbstractVector, dim::Tuple{<:Number,<:Number}, p::RecipesBase.AbstractPlot{<:RecipesBase.AbstractBackend}) + + top = intersection(l, [0 ; -1 ; 0]) + bottom = intersection(l, [0 ; -1 ; dim[1]]) + left = intersection(l, [-1 ; 0 ; 0]) + right = intersection(l, [-1 ; 0 ; dim[2]]) + + x = Float64[] + y = Float64[] + + if is_inbounds(top,dim) + push!(x, top[1]) + push!(y, top[2]) + end + + if is_inbounds(bottom,dim) + push!(x, bottom[1]) + push!(y, bottom[2]) + end + + if is_inbounds(left,dim) + push!(x, left[1]) + push!(y, left[2]) + end + + if is_inbounds(right,dim) + push!(x, right[1]) + push!(y, right[2]) + end + + Plots.plot!(x,y,w=3) +end + +function intersection(l1::AbstractArray, l2::AbstractArray) + l = 𝑛(cross(l1,l2)) + l[1:2] +end + +function is_inbounds(pt::AbstractVector, dim::Tuple{<:Number,<:Number}) + nrow, ncol = dim + pt[1] >= -1.5 && pt[1] < ncol+1.5 && pt[2] >= -1.5 && pt[2] <= nrow + 1.5 +end diff --git a/src/projection/epipole.jl b/src/projection/epipole.jl index 749604a..77605e6 100644 --- a/src/projection/epipole.jl +++ b/src/projection/epipole.jl @@ -1,5 +1,5 @@ function epipole(𝐅::AbstractArray) 𝐔, 𝐒, 𝐕 = svd(𝐅) - 𝐞 = 𝑛(MVector(𝐕[:,end])) + 𝐞 = 𝑛(MVector{3}(𝐕[:,end])) Point2DH(𝐞) end