From 37dba604bffb8768fdb69b93c50d227c6fd968c1 Mon Sep 17 00:00:00 2001 From: Kevin-Mattheus-Moerman Date: Wed, 28 Aug 2024 15:08:32 +0100 Subject: [PATCH] Added face angle based segmentation functionality --- assets/stl/spur_gear_01.stl | Bin 0 -> 907884 bytes assets/stl/spur_gear_02.stl | Bin 0 -> 2148084 bytes examples/demo_edgefaceangles.jl | 59 ++++++++++ examples/demo_faceanglesegment.jl | 83 ++++++++++++++ examples/demo_meshgroup.jl | 23 ++-- src/Comodo.jl | 2 +- src/functions.jl | 179 +++++++++++++++++++++++++++--- 7 files changed, 322 insertions(+), 24 deletions(-) create mode 100644 assets/stl/spur_gear_01.stl create mode 100644 assets/stl/spur_gear_02.stl create mode 100644 examples/demo_edgefaceangles.jl create mode 100644 examples/demo_faceanglesegment.jl diff --git a/assets/stl/spur_gear_01.stl b/assets/stl/spur_gear_01.stl new file mode 100644 index 0000000000000000000000000000000000000000..1668e566db14931bca70a5bb8d985c5bb88606f2 GIT binary patch literal 907884 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angles for testing + r = 2.0 + B = [170.0,150.0,135.0,90.0,75.0,60.0,45.0,-45.0,-60.0,-75,-90.0,-135.0,-150.0,-170.0] + V = Vector{Point{3, Float64}}() + push!(V,[0.0, 0.0, 0.0]) + for b in B + push!(V,V[end]+[r, 0.0, 0.0]) + push!(V,V[end]+[r*cosd(b),r*sind(b), 0.0]) + end + push!(V,V[end]+[r, 0.0, 0.0]) + + F,V = extrudecurve(V; extent=1, direction=:positive, n=Vec{3, Float64}(0.0,0.0,-1.0), close_loop=false,face_type=:quad) +elseif testCase==2 + # An imported STL based geometry of an engineering part with various flat faces and some known angles (e.g. 0, 45, and 90 degrees) + fileName_mesh = joinpath(comododir(),"assets","stl","spur_gear_01.stl") + M = load(fileName_mesh) + F = tofaces(faces(M)) + V = topoints(coordinates(M)) + F,V,_,_ = mergevertices(F,V) +end + +# E = meshedges(F) +# E_uni,_,indReverse = gunique(E; return_unique=true, return_index=true, return_inverse=true, sort_entries=true) +# con_E2F = con_edge_face(F,E_uni) +# con_F2E = con_face_edge(F,E_uni,indReverse) + +A,E,con_E2F = edgefaceangles(F,V; deg=true) + + +## Visualization +linewidth = 3 + +Lp = .~isnan.(A) .&& abs.(A).>30 +Ap = A[Lp] +Ep = E[Lp] + +En,Vn = separate_vertices(Ep,V) +An = simplex2vertexdata(En,Ap,Vn) + +fig = Figure(size=(800,800)) + +ax1 = Axis3(fig[1, 1], aspect = :data, xlabel = "X", ylabel = "Y", zlabel = "Z", title = "Edge angles") +hp1 = poly!(ax1,GeometryBasics.Mesh(V,F), color=:white, shading = FastShading, transparency=false)#,strokecolor=:black,strokewidth=0.25) +# normalplot(ax1,F,V) + +hp_A = wireframe!(ax1,GeometryBasics.Mesh(Vn,En),linewidth=linewidth, transparency=false, color=An,colormap=:Spectral,colorrange = (-180, 180)) + +Colorbar(fig[1, 2],hp_A, label = "Angles",ticks =-180:20:180) + +fig \ No newline at end of file diff --git a/examples/demo_faceanglesegment.jl b/examples/demo_faceanglesegment.jl new file mode 100644 index 0000000..62761eb --- /dev/null +++ b/examples/demo_faceanglesegment.jl @@ -0,0 +1,83 @@ +using Comodo +using GLMakie +using GeometryBasics +using FileIO +using LinearAlgebra + +testCase = 2 + +if testCase==1 + # A "zig-zag" curve with known angles for testing + r = 2.0 + B = [170.0,150.0,135.0,90.0,75.0,60.0,45.0,-45.0,-60.0,-75,-90.0,-135.0,-150.0,-170.0] + V = Vector{Point{3, Float64}}() + push!(V,[0.0, 0.0, 0.0]) + for b in B + push!(V,V[end]+[r, 0.0, 0.0]) + push!(V,V[end]+[r*cosd(b),r*sind(b), 0.0]) + end + push!(V,V[end]+[r, 0.0, 0.0]) + + F,V = extrudecurve(V; extent=1, direction=:positive, n=Vec{3, Float64}(0.0,0.0,-1.0), close_loop=false,face_type=:quad) +elseif testCase==2 + # An imported STL based geometry of an engineering part with various flat faces and some known angles (e.g. 0, 45, and 90 degrees) + # This model is relatively evenly sampled and of a relatively low resolution + fileName_mesh = joinpath(comododir(),"assets","stl","spur_gear_01.stl") + M = load(fileName_mesh) + F = tofaces(faces(M)) + V = topoints(coordinates(M)) + F,V,_,_ = mergevertices(F,V) +elseif testCase==3 # Same as 2 but higher angular/general resolution + # An imported STL based geometry of an engineering part with various flat faces and some known angles (e.g. 0, 45, and 90 degrees) + # This model features a non-homogeneous mesh (includes sharp triangles) and is of a relatively high resolution + fileName_mesh = joinpath(comododir(),"assets","stl","spur_gear_02.stl") + M = load(fileName_mesh) + F = tofaces(faces(M)) + V = topoints(coordinates(M)) + F,V,_,_ = mergevertices(F,V) +end + +# E = meshedges(F) +# E_uni,_,indReverse = gunique(E; return_unique=true, return_index=true, return_inverse=true, sort_entries=true) +# con_E2F = con_edge_face(F,E_uni) +# con_F2E = con_face_edge(F,E_uni,indReverse) + +A,E,con_E2F = edgefaceangles(F,V; deg=true) + + +G = faceanglesegment(F,V; deg=true, angleThreshold = 22.5, indStart = 1) + +## Visualization +linewidth = 3 +c = cgrad(:Spectral,maximum(G),categorical = true) +A,E,con_E2F = edgefaceangles(F,V; deg=true) + +Lp = .~isnan.(A) .&& abs.(A).>30 +Ap = A[Lp] +Ep = E[Lp] + +En,Vn_E = separate_vertices(Ep,V) +An = simplex2vertexdata(En,Ap,Vn_E) + + +Fn,Vn = separate_vertices(F,V) +Gn = simplex2vertexdata(Fn,G,Vn)## Visualization +linewidth = 3 + +fig = Figure(size=(800,800)) + +ax1 = Axis3(fig[1, 1], aspect = :data, xlabel = "X", ylabel = "Y", zlabel = "Z", title = "Edge angles") +hp1 = poly!(ax1,GeometryBasics.Mesh(Vn,Fn), color=:white, shading = FastShading, transparency=false,strokecolor=:black,strokewidth=0.25) +# normalplot(ax1,F,V) +# hp_A = wireframe!(ax1,GeometryBasics.Mesh(Vn_E,En),linewidth=linewidth, transparency=false, color=An,colormap=:Spectral,colorrange = (-120, 120)) +# Colorbar(fig[1, 2],hp_A, label = "Angles") + +ax2 = Axis3(fig[1, 2], aspect = :data, xlabel = "X", ylabel = "Y", zlabel = "Z", title = "Groups") +hp2 = poly!(ax2,GeometryBasics.Mesh(Vn,Fn), color=Gn, shading = FastShading, transparency=false,colormap=c)#,strokecolor=:black,strokewidth=0.25) +# normalplot(ax1,F,V) + +hp3 = wireframe!(ax2,GeometryBasics.Mesh(Vn_E,En),linewidth=linewidth, transparency=false, color=:black) + +Colorbar(fig[1, 3],hp2, label = "Groups") + +fig diff --git a/examples/demo_meshgroup.jl b/examples/demo_meshgroup.jl index fadb145..ac86a41 100644 --- a/examples/demo_meshgroup.jl +++ b/examples/demo_meshgroup.jl @@ -3,7 +3,7 @@ using GLMakie using GeometryBasics # Example geometry -testCase = 3 +testCase = 4 if testCase == 1 s=1.0 V=Vector{GeometryBasics.Point{3, Float64}}(undef,5) @@ -30,6 +30,9 @@ elseif testCase==2 elseif testCase==3 r = 1.0 F,V = geosphere(2,r) +elseif testCase==4 + r = 1.0 + F,V = geosphere(2,r) for i = 0:1:2 for j = 0:1:2 for k = 0:1:2 @@ -43,7 +46,7 @@ elseif testCase==3 end end end -elseif testCase==4 +elseif testCase==5 r = 1.0 F,V = quadsphere(2,r) for i = 0:1:2 @@ -59,7 +62,7 @@ elseif testCase==4 end end end -elseif testCase==5 # Unmerged STL, each triangle is seperate group +elseif testCase==6 # Unmerged STL, each triangle is seperate group # Loading a mesh using FileIO fileName_mesh = joinpath(comododir(),"assets","stl","stanford_bunny_low.stl") @@ -68,7 +71,7 @@ elseif testCase==5 # Unmerged STL, each triangle is seperate group # Obtain mesh faces and vertices F = tofaces(faces(M)) V = topoints(coordinates(M)) -elseif testCase==6 # Merged STL for single object +elseif testCase==7 # Merged STL for single object # Loading a mesh using FileIO fileName_mesh = joinpath(comododir(),"assets","stl","stanford_bunny_low.stl") @@ -78,7 +81,7 @@ elseif testCase==6 # Merged STL for single object F = tofaces(faces(M)) V = topoints(coordinates(M)) F,V,_ = mergevertices(F,V) -elseif testCase==7 # Merged STL for single object +elseif testCase==8 # Merged STL for single object # Loading a mesh using FileIO fileName_mesh = joinpath(comododir(),"assets","stl","david.stl") @@ -105,16 +108,16 @@ Cn = simplex2vertexdata(Fn,C,Vn) # Visualization -fig = Figure(size=(800,800)) +fig = Figure(size=(1200,1200)) ax1 = Axis3(fig[1, 1], aspect = :data, xlabel = "X", ylabel = "Y", zlabel = "Z", title = "A multi-object mesh") hp1 = poly!(ax1,GeometryBasics.Mesh(V,F), strokewidth=1,color=:white, strokecolor=:black, shading = FastShading, transparency=false) -ax2 = Axis3(fig[2, 1], aspect = :data, xlabel = "X", ylabel = "Y", zlabel = "Z", title = "Grouping") -hp2 = poly!(ax2,GeometryBasics.Mesh(Vn,Fn), strokewidth=1,color=Cn, strokecolor=:black, shading = FastShading, transparency=false,colormap=Makie.Categorical(:viridis)) +ax2 = Axis3(fig[1, 2], aspect = :data, xlabel = "X", ylabel = "Y", zlabel = "Z", title = "Grouping") +hp2 = poly!(ax2,GeometryBasics.Mesh(Vn,Fn), strokewidth=1,color=Cn, strokecolor=:black, shading = FastShading, transparency=false,colormap=c) -Legend(fig[1, 2],[hp1,hp2],["Mesh object","Grouped mesh"]) -Colorbar(fig[2, 2],hp2, label = "Group labelling") +Legend(fig[1, 3],[hp1,hp2],["Mesh object","Grouped mesh"]) +Colorbar(fig[1, 4],hp2, label = "Group labelling") fig diff --git a/src/Comodo.jl b/src/Comodo.jl index ed3439e..2f2c8c7 100644 --- a/src/Comodo.jl +++ b/src/Comodo.jl @@ -48,7 +48,7 @@ export invert_faces, kabsch_rot, sweeploft, loftpoints2surf, revolvecurve export batman, tridisc, triplate, regiontrimesh, scalesimplex, subcurve, dualclad export tet2hex, element2faces, subhex, rhombicdodecahedron, tri2quad export tetgenmesh, surfacevolume, tetvolume, extrudefaces, filletcurve -export squircle, circlerange +export squircle, circlerange, edgefaceangles,faceanglesegment # Export functions: Visualization related export slidercontrol, slider2anim, dirplot, normalplot diff --git a/src/functions.jl b/src/functions.jl index 83cc9c6..da17ce0 100644 --- a/src/functions.jl +++ b/src/functions.jl @@ -1479,7 +1479,6 @@ This function computes the so-called edge-cross-product for a input mesh that is either defined by the faces `F` and vertices `V` or the mesh `M`. """ function edgecrossproduct(F::Union{Vector{NgonFace{NF,TF}},Vector{Vector{TF}}},V::Vector{Point{ND,TV}}) where NF where TF<:Integer where ND where TV<:Real - if isa(F,Vector{Vector{TF}}) N = length(F[1]) else @@ -1487,21 +1486,34 @@ function edgecrossproduct(F::Union{Vector{NgonFace{NF,TF}},Vector{Vector{TF}}},V end C = Vector{GeometryBasics.Vec{ND, TV}}(undef,length(F)) # Allocate array cross-product vectors - for (q,f) in enumerate(F) # Loop over all faces - c = cross(V[f[N]],V[f[1]]) # Initialise as cross product of last and first vertex position vector - @inbounds for qe in 1:(N-1) # Loop from first to end-1 - c += cross(V[f[qe]],V[f[qe+1]]) # Add next edge contribution + @inbounds for (q,f) in enumerate(F) # Loop over all faces + c = zeros(Vec{3,Float64}) + @inbounds for q in 1:N # Loop from first to end-1 + c += cross(V[f[q]],V[f[mod1(q+1,N)]]) # Add next edge contribution end C[q] = c./2 # Length = face area, direction is along normal vector end return C end +function edgecrossproduct(f::Union{NgonFace{NF,TF},Vector{TF}},V::Vector{Point{ND,TV}}) where NF where TF<:Integer where ND where TV<:Real + if isa(f,Vector{TF}) + N = length(f) + else + N = NF + end + + c = zeros(Vec{3,TV}) + @inbounds for q in 1:N # Loop from first to end-1 + c += cross(V[f[q]],V[f[mod1(q+1,N)]]) # Add next edge contribution + end + return c./2 # Length = face area, direction is along normal vector +end + function edgecrossproduct(M::GeometryBasics.Mesh) return edgecrossproduct(faces(M),coordinates(M)) end - """ facenormal(F,V; weighting=:area) @@ -1512,11 +1524,16 @@ Returns the normal directions for each face. This function computes the per face normal directions for the input mesh defined either by the faces `F` and vertices `V` or by the GeometryBasics mesh `M`. """ -function facenormal(F,V::Vector{Point{ND,TV}}) where ND where TV<:Real +function facenormal(F::Union{Vector{NgonFace{NF,TF}},Vector{Vector{TF}}},V::Vector{Point{ND,TV}}) where NF where TF<:Integer where ND where TV<:Real C = edgecrossproduct(F,V) return C./norm.(C) end +function facenormal(f::Union{NgonFace{NF,TF},Vector{TF}},V::Vector{Point{ND,TV}}) where NF where TF<:Integer where ND where TV<:Real + c = edgecrossproduct(f,V) + return c./norm(c) +end + function facenormal(M::GeometryBasics.Mesh) return facenormal(faces(M),coordinates(M)) end @@ -2006,14 +2023,15 @@ function con_face_face(F,E_uni=nothing,indReverse=nothing,con_E2F=nothing,con_F2 if isnothing(con_F2E) con_F2E = con_face_edge(F,E_uni,indReverse) end - con_F2F = [Vector{Int}() for _ in 1:length(F)] + + con_F2F = [Vector{Int}() for _ in 1:length(F)] for i_f in eachindex(F) for i in reduce(vcat,con_E2F[con_F2E[i_f]]) if i!=i_f push!(con_F2F[i_f],i) end end - end + end return con_F2F else # Just one face, so return empty return [Vector{Int}() ] @@ -2586,6 +2604,10 @@ function loftlinear(V1::Vector{Point{ND,TV}},V2::Vector{Point{ND,TV}};num_steps= num_steps = ceil(Int,d/dp) end + if num_steps == 1 + num_steps = 2 + end + # Linearly blending points from first to last V = Vector{eltype(V1)}() for q in range(0,num_steps,num_steps) @@ -3107,7 +3129,11 @@ function extrudecurve(V1::Vector{Point{ND,TV}}; extent=1.0, direction=:positive, p = extent.*n elseif direction == :negative # Against n from V1 p = -extent.*n - V1 = circshift(reverse(V1),1) + if close_loop == true + circshift!(reverse!(V1),1) + else + reverse!(V1) + end elseif direction == :both # Extrude both ways from V1 p = extent.*n V1 = [(eltype(V1))(v.-p./2) for v in V1] #Shift V1 in negative direction @@ -3143,7 +3169,7 @@ function meshgroup(F; con_type = :v) if all(isempty.(con_F2F)) # Completely disconnected face set (e.g. raw STL import) C = collect(1:length(F)) else - C = fill(0,length(F)) + C = fill(0,length(F)) # Initialise group label vector i = 1 c = 1 C[i] = c @@ -3168,8 +3194,9 @@ function meshgroup(F; con_type = :v) end end if np == length(seen) # Group full - c += 1 # Increment group counter - i = findfirst(iszero.(C)) + c += 1 # Increment group counter + i = findfirst(iszero.(C)) + C[i] = c end end end @@ -4952,4 +4979,130 @@ function circlerange(n::Int; dir=:acw, deg=false) else throw(ArgumentError("Invalid dir specified :$dir, use :acw or :cw")) end +end + + +""" + edgefaceangles(F::Vector{NgonFace{NF,TF}},V::Vector{Point{ND,TV}}; deg=false) where NF where TF<:Integer where ND where TV<:Real + +Computed angles between faces + +# Description +This function computes the angle between two faces for each unique edge in the +mesh specified by `F` and the vertices `V`. If the input mesh consists of n +unique edges then the output features n angles. For boundary edges, where no +pair of faces exists, the angle returned is NaN. The default behaviour results +in angles being computed in radians. However by specifying `deg=true` the user +can request degrees instead. Finally two additional outputs are created, namely +the unique edge vector `E_uni` as well as the edge-to-face connectivity vector +`,con_E2F`. +""" +function edgefaceangles(F::Vector{NgonFace{NF,TF}},V::Vector{Point{ND,TV}}; deg=false) where NF where TF<:Integer where ND where TV<:Real + if length(F)>1 # More than one face so compute connectivity + E = meshedges(F) # The non-unique mesh edges + E_uni,_,indReverse = gunique(E; return_unique=true, return_index=true, return_inverse=true, sort_entries=true) # Unique mesh edges and inverse indices + con_E2F = con_edge_face(F,E_uni,indReverse) # The edge-to-face connectivity + + A = fill(TV(NaN),length(E_uni)) # Vector for storing angles for each edge + for i_e in eachindex(E_uni) # Looping over all unique edges (e.g. 1-2 is the same as 2-1) + if length(con_E2F[i_e])==2 # If the edge is not a boundary edge it touches 2 faces and angles can be computed + e = E_uni[i_e] # The current edge + i_f1 = con_E2F[i_e][1] # The index of the first face sharing the current edge + i1 = findfirst(F[i_f1].==e[1]) # The index of the first edge point + i2 = findfirst(F[i_f1].==e[2]) # The index of the second edge point + n1 = facenormal(F[con_E2F[i_e][1]],V) # The normal direction for the first face + n2 = facenormal(F[con_E2F[i_e][2]],V) # The normal direction for the second face + ne = V[E_uni[i_e][2]]-V[E_uni[i_e][1]] # Current edge vector + if i2==mod1(i1+1,length(F[1])) # If the second point is "next" for the current edge + s = sign(dot(cross(n2,n1),ne)) + else # Inverse situation + s = sign(dot(cross(n1,n2),ne)) + end + + # Compute the face angles + if deg == true # Compute angles in degrees + a = s*acosd(clamp(dot(n1,n2),-1.0,1.0)) + if a>180 + a = a-360 + end + A[i_e] = a + else # Compute angles in radians + a = s*acos(clamp(dot(n1,n2),-1.0,1.0)) + if a>pi + a = a-2*pi + end + A[i_e] = a # Replace NaN by the current angle + end + end + end + return A,E_uni,con_E2F + else # Just one face, so return NaN + return [fill(NaN,length(F[1]))] + end +end + +""" + faceanglesegment(F::Vector{NgonFace{NF,TF}},V::Vector{Point{ND,TV; deg=false, angleThreshold = pi/8, indStart = 1) where NF where TF<:Integer where ND where TV<:Real + +Segments surfaces using face angles + +# Description +This function takes in a surface mesh defined by the faces `F` and the vertices +`V`, and segments the surface mesh based on face angles. The output consists of +a "feature label" vector `G` (a Vector{Int}, with the same length of `F`) +whereby adjacent faces whosee angle is smaller or equal to the `angleThreshold` +(default is pi/8) receive the same label. Hence this function allows one to find +all faces with a similar orientation, for instance all top or side faces of some +mesh. The function uses radians by default. However, buy specifying the optional +parameter `deg=true` the user request that angles and the `angleThreshold` are +in degrees. +""" +function faceanglesegment(F::Vector{NgonFace{NF,TF}},V::Vector{Point{ND,TV}}; deg=false, angleThreshold = pi/8, indStart = 1) where NF where TF<:Integer where ND where TV<:Real + + A,_,con_E2F = edgefaceangles(F,V; deg=deg) + indToCheck = [indStart] + indToCheckNew = Vector{Int}() + G = zeros(Int,length(F)) # Group labels + G[indStart] = 1 + g = 1 + + while true + while true + for indFaceNow in indToCheck # Loop over all indices of faces to check on + while true # While we are finding unvisited edges attached to the current face + indEdgeFound = findfirst(x -> in(indFaceNow,x),con_E2F) # index of edge attached to face. check empty + if !isnothing(indEdgeFound) # If we found an edge + if abs(A[indEdgeFound])<=angleThreshold # Is angle at this edge low enough + for indFace in con_E2F[indEdgeFound] # then add the other face + if indFace!=indFaceNow # If other face + # println(indFace) + push!(indToCheckNew,indFace) # Add to check for next round + G[indFace] = g # Assign group label + end + end + end + con_E2F[indEdgeFound] = [] # Empty visited edge + else + break + end + end + end + + if isempty(indToCheckNew) + g+=1 + indToCheck = findfirst(x -> x==0,G) + break + else + indToCheck = deepcopy(indToCheckNew) # Create new set to check up on + indToCheckNew = Vector{Int}() # Create new set empty again + end + end + + if isnothing(indToCheck) + break + else + G[indToCheck] = g # Assign group label + end + end + return G end \ No newline at end of file

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