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Added sweeplofting and kabsch rotation
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,41 @@ | ||
| using Comodo | ||
| using GLMakie | ||
| using GeometryBasics | ||
| using FileIO | ||
| using Rotations | ||
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| #= | ||
| In this demo a mesh is loaded, in this case a triangulated surface from an STL | ||
| file. Next the coordinates are rotated, and the unrotated and rotated meshes | ||
| are visualized. | ||
| =# | ||
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| # Loading a mesh | ||
| fileName_mesh = joinpath(comododir(),"assets","stl","stanford_bunny_low.stl") | ||
| M = load(fileName_mesh) | ||
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| # Obtain mesh faces and vertices | ||
| F = faces(M) | ||
| V1 = togeometrybasics_points(coordinates(M)) | ||
| F,V1 = mergevertices(F,V1) | ||
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| # Define a rotation tensor using Euler angles | ||
| Q = RotXYZ(0.0,0.25*π,0.25*π) | ||
| V2 = [GeometryBasics.Point{3, Float64}(Q*v) for v ∈ V1] | ||
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| R = kabsch_rot(V2,V1) | ||
| V3 = [GeometryBasics.Point{3, Float64}(R*v) for v ∈ V2] | ||
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| # Rotate the coordinates | ||
| fig = Figure(size = (800,800)) | ||
| ax = Axis3(fig[1, 1], aspect = :data) | ||
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| hp1 = poly!(ax, GeometryBasics.Mesh(V1,F), color=:green,transparency=false,shading = FastShading) | ||
| hp2 = poly!(ax, GeometryBasics.Mesh(V2,F), strokewidth=2,color=:red,shading = FastShading) | ||
| hp3 = wireframe!(ax, GeometryBasics.Mesh(V3,F), color=:red,linewidth=2) | ||
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| Legend(fig[1, 2],[hp1,hp2,hp3],["Initial","Rotated","Back rotated"]) | ||
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| fig | ||
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,150 @@ | ||
| using Comodo | ||
| using GeometryBasics | ||
| using GLMakie | ||
| using Rotations | ||
| using Statistics | ||
| using LinearAlgebra | ||
|
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| testCase = 1 | ||
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| if testCase == 1 | ||
| # Define guide curve | ||
| nc = 51 # Number of points on guide curve | ||
| P = Vector{GeometryBasics.Point{3, Float64}}(undef,4) | ||
| P[1 ] = GeometryBasics.Point{3, Float64}( 0.0, 0.0, 0.0) | ||
| P[2 ] = GeometryBasics.Point{3, Float64}( 1.0, 0.0, 0.0) | ||
| P[3 ] = GeometryBasics.Point{3, Float64}( 1.0, 1.0, 0.0) | ||
| P[4 ] = GeometryBasics.Point{3, Float64}( 1.0, 1.0, 1.0) | ||
| Vc = nbezier(P,nc) # Get Bezier fit points | ||
| Vc = [vc.*10 for vc in Vc] | ||
| Vc,Sc = evenly_sample(Vc, nc) | ||
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| # Define section curves | ||
| np = 25 # Number of section points | ||
| f(t) = 2.0 + 0.5.*sin(3*t) | ||
| V1 = circlepoints(f,np; dir=:acw) | ||
| V1,_ = evenly_sample(V1, np) | ||
| Q = RotXYZ(0.0,0.5*π,0.0) # Define a rotation tensor using Euler angles | ||
| V1 = [Q*v for v ∈ V1] # Rotate the coordinates | ||
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| f(t) = 2.0 + 0.5*sin(3*t) | ||
| V2 = circlepoints(f,np; dir=:acw) | ||
| V2,_ = evenly_sample(V2, np) | ||
| V2 = [v2 .+ Vc[end] for v2 ∈ V2] | ||
| elseif testCase == 2 | ||
| # Define guide curve | ||
| nc = 75 # Number of points on guide curve | ||
| P = Vector{GeometryBasics.Point{3, Float64}}(undef,4) | ||
| P[1 ] = GeometryBasics.Point{3, Float64}( 0.0, 0.0, 0.0) | ||
| P[2 ] = GeometryBasics.Point{3, Float64}( 1.0, 0.0, 0.0) | ||
| P[3 ] = GeometryBasics.Point{3, Float64}( 2.0, 0.0, 0.0) | ||
| P[4 ] = GeometryBasics.Point{3, Float64}( 3.0, 0.0, 0.0) | ||
| Vc = nbezier(P,nc) # Get Bezier fit points | ||
| Vc = [vc.*10 for vc in Vc] | ||
| Vc,Sc = evenly_sample(Vc, nc) | ||
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| # Define section curves | ||
| np = 35 # Number of section points | ||
| f(t) = 2.0 + 0.5.*sin(3*t) | ||
| V1 = circlepoints(f,np; dir=:acw) | ||
| V1,_ = evenly_sample(V1, np) | ||
| Q = RotXYZ(0.0,0.5*π,0.0) # Define a rotation tensor using Euler angles | ||
| V1 = [(Q*v) .+ Vc[1] for v ∈ V1] # Rotate the coordinates | ||
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| f(t) = 2.0 + 0.5*sin(3*t) | ||
| V2 = circlepoints(f,np; dir=:acw) | ||
| V2,_ = evenly_sample(V2, np) | ||
| Q = RotXYZ(0.0,0.5*π,0.0) # Define a rotation tensor using Euler angles | ||
| V2 = [(Q*v) .+ Vc[end] for v ∈ V2] | ||
| elseif testCase == 3 | ||
| nc = 201 # Number of points on guide curve | ||
| r = 10.0 | ||
| a = 4*π | ||
| Vc = [GeometryBasics.Point{3, Float64}(r*cos(t),r*sin(t),10.0*(t/(a/2))) for t ∈ range(0,a,nc)] | ||
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| # Define section curves | ||
| np = 50 # Number of section points | ||
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| # Section 1 | ||
| f(t) = 1.5 + 0.5.*sin(3*t) | ||
| V1 = circlepoints(f,np; dir=:cw) | ||
| V1,_ = evenly_sample(V1, np) | ||
| Q = RotXYZ(0.5*π,0.0,0.0) # Define a rotation tensor using Euler angles | ||
| V1 = [Q*v for v ∈ V1] # Rotate the coordinates | ||
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| # Ensure section is orthogonal to guide curve | ||
| n3_1 = Q*Vec3{Float64}(0.0,0.0,-1.0) | ||
| n2_1 = Q*Vec3{Float64}(1.0,0.0,0.0) | ||
| n1_1 = normalizevector(cross(n3_1,n2_1)) | ||
| S11 = mapreduce(permutedims,vcat,[n1_1,n2_1,n3_1]) | ||
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| n3_1 = normalizevector(normalizevector(Vc[2]-Vc[1])) | ||
| n2_1 = normalizevector(cross(normalizevector(V1[1]),n3_1)) | ||
| n1_1 = normalizevector(cross(n3_1,n2_1)) | ||
| S12 = mapreduce(permutedims,vcat,[n1_1,n2_1,n3_1]) | ||
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| R = RotMatrix3{Float64}(S12\S11) | ||
| V1 = [R*v for v ∈ V1] | ||
| V1= [v .+ Vc[1] for v ∈ V1] | ||
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| # Section 2 | ||
| f(t) = 4 + 1.5*sin(5*t) | ||
| V2 = circlepoints(f,np; dir=:cw) | ||
| V2,_ = evenly_sample(V2, np) | ||
| Q1 = RotXYZ(0.5*π,0.0,0.0) # Define a rotation tensor using Euler angles | ||
| Q2 = RotXYZ(0.0,-0.25*π,0.0) # Define a rotation tensor using Euler angles | ||
| Q = Q2*Q1 | ||
| V2 = [Q*v for v ∈ V2] # Rotate the coordinates | ||
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| # Ensure section is orthogonal to guide curve | ||
| n3_2 = Q*Vec3{Float64}(0.0,0.0,-1.0) | ||
| n2_2 = Q*Vec3{Float64}(1.0,0.0,0.0) | ||
| n1_2 = normalizevector(cross(n3_2,n2_2)) | ||
| S21 = RotMatrix3{Float64}(mapreduce(permutedims,vcat,[n1_2,n2_2,n3_2])) | ||
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| n3_2 = normalizevector(normalizevector(Vc[2]-Vc[1])) | ||
| n2_2 = normalizevector(cross(normalizevector(V1[1]),n3_1)) | ||
| n1_2 = normalizevector(cross(n3_1,n2_1)) | ||
| S22 = mapreduce(permutedims,vcat,[n1_1,n2_1,n3_1]) | ||
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| R = RotMatrix3{Float64}(S22\S21) | ||
| V2 = [R*v for v ∈ V2] # Rotate the coordinates | ||
| V2 = [v .+ Vc[end] for v ∈ V2] | ||
| end | ||
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| ######### | ||
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| # face_type=:quad | ||
| F,V = sweeploft(Vc,V1,V2; face_type=:quad, num_twist=0) | ||
| F = invert_faces(F) | ||
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| # Visualization | ||
| fig = Figure(size = (800,800)) | ||
| ax = Axis3(fig[1, 1],aspect = :data,title="Swept lofting") | ||
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| stepRange1 = -4:1:4 | ||
| hSlider1 = Slider(fig[2, 1], range = stepRange1, startvalue = 0,linewidth=30) | ||
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| # scatter!(ax, Vc,markersize=8,color=:black) | ||
| hp1 = lines!(ax, Vc,linewidth=4,color=:black) | ||
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| scatter!(ax, V1,markersize=8,color=:blue) | ||
| hp2 = lines!(ax, V1,linewidth=4,color=:blue) | ||
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| scatter!(ax, V2,markersize=8,color=:red) | ||
| hp3 = lines!(ax, V2,linewidth=4,color=:red) | ||
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| hp1 = poly!(ax, GeometryBasics.Mesh(V,F), strokecolor=:black, strokewidth=1,color=:white,transparency=false,shading = FastShading) | ||
| # hp1 = mesh!(ax, GeometryBasics.Mesh(V,F), color=:white,transparency=false,shading = FastShading) | ||
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| on(hSlider1.value) do stepIndex1 | ||
| F,V = sweeploft(Vc,V1,V2; face_type=:quad, num_twist=stepIndex1) | ||
| F = invert_faces(F) | ||
| hp1[1] = GeometryBasics.Mesh(V,F) | ||
| end | ||
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| fig | ||
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