Fri, 08 Jan 2021 00:58:10 -0500
Add FilterKernel LinOp
src/ImFilter.jl | file | annotate | diff | comparison | revisions |
--- a/src/ImFilter.jl Fri Jan 08 00:34:47 2021 -0500 +++ b/src/ImFilter.jl Fri Jan 08 00:58:10 2021 -0500 @@ -8,27 +8,32 @@ module ImFilter using OffsetArrays -using AlgTools.Util: @threadsif +using AlgTools.Util: @threadsif, norm₁ +using AlgTools.LinOps ########## # Exports ########## export simple_imfilter, - gaussian + simple_imfilter!, + simple_imfilter_adjoint, + simple_imfilter_adjoint!, + gaussian, + FilterKernel ############## # The routine ############## +Image = Array{Float64,2} +Kernel = OffsetArray{Float64,2,Image} + @inline function inside(i, aʹ, bʹ, a, b) return (max(a, i - aʹ) - i):(min(b, i + bʹ) - i) end -function simple_imfilter(b::Array{Float64,2}, - kernel::OffsetArray{Float64,2,Array{Float64,2}}; - threads::Bool=true) - +function simple_imfilter!(res::Image, b::Image, kernel::Kernel; threads::Bool=true) n, m = size(b) k, 𝓁 = size(kernel) o₁, o₂ = kernel.offsets @@ -36,9 +41,7 @@ b₁, b₂ = -1 - o₁, -1 - o₂ kp = kernel.parent - @assert(isodd(k) && isodd(𝓁)) - - res = similar(b) + @assert(isodd(k) && isodd(𝓁) && size(res)==size(b)) @threadsif threads for i=1:n @inbounds for j=1:m @@ -57,6 +60,72 @@ return res end +function simple_imfilter(b::Image, kernel::Kernel; threads::Bool=true) + res = similar(b) + simple_imfilter!(res, b, kernel) +end + +function simple_imfilter_adjoint!(res::Image, b::Image, kernel::Kernel; threads::Bool=true) + n, m = size(b) + k, 𝓁 = size(kernel) + o₁, o₂ = kernel.offsets + a₁, a₂ = k + o₁, 𝓁 + o₂ + b₁, b₂ = -1 - o₁, -1 - o₂ + kp = kernel.parent + + @assert(isodd(k) && isodd(𝓁) && size(res)==size(b)) + + res .= 0 + + @threadsif threads for i=1:n + @inbounds for j=1:m + it₁ = inside(i, a₁, b₁, 1, n) + it₂ = inside(j, a₂, b₂, 1, m) + for p=it₁ + @simd for q=it₂ + res[i+p,j+q] += kp[p-o₁, q-o₂]*b[i, j] + end + end + end + end + + return res +end + +function simple_imfilter_adjoint(b::Image, kernel::Kernel; threads::Bool=true) + res = similar(b) + simple_imfilter_adjoint!(res, b, kernel) +end + +########################### +# Abstract linear operator +########################### + +struct FilterKernel <: AdjointableOp{Image, Image} + kernel::Kernel +end + +function (op::FilterKernel)(b::Image) + return simple_imfilter(b, op.kernel) +end + +function LinOps.inplace!(y::Image, op::FilterKernel, x::Image) + return simple_imfilter!(y, x, op.kernel) +end + +function LinOps.calc_adjoint(op::FilterKernel, y::Image) + return simple_imfilter_adjoint(y, op.kernel) +end + +function LinOps.calc_adjoint!(res::Image, op::FilterKernel, y::Image) + return simple_imfilter_adjoint!(res, y, op.kernel) +end + +function LinOps.opnorm_estimate(op::FilterKernel) + # Due to |f * g|_p ≤ |f|_p|g|_1 + return norm₁(op.kernel) +end + ###################################################### # Distributions. Just to avoid the long load times of # ImageFiltering and heavy dependencies on FFTW etc.