Mercurial > repos > PredictPDPS / file comparison
comparison: src/AlgorithmFBDual.jl
src/AlgorithmFBDual.jl
- changeset 0
- a55e35d20336
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| -1:000000000000 | 0:a55e35d20336 |
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| 1 #################################################################### | |
| 2 # Predictive online PDPS for optical flow with known velocity field | |
| 3 #################################################################### | |
| 4 | |
| 5 __precompile__() | |
| 6 | |
| 7 module AlgorithmFBDual | |
| 8 | |
| 9 using Printf | |
| 10 | |
| 11 using AlgTools.Util | |
| 12 import AlgTools.Iterate | |
| 13 using ImageTools.Gradient | |
| 14 | |
| 15 using ..OpticalFlow: Image, | |
| 16 ImageSize, | |
| 17 flow! | |
| 18 | |
| 19 ######################### | |
| 20 # Iterate initialisation | |
| 21 ######################### | |
| 22 | |
| 23 function init_rest(x::Image) | |
| 24 imdim=size(x) | |
| 25 | |
| 26 y = zeros(2, imdim...) | |
| 27 Δx = copy(x) | |
| 28 Δy = copy(y) | |
| 29 | |
| 30 return x, y, Δx, Δy | |
| 31 end | |
| 32 | |
| 33 function init_iterates(xinit::Image) | |
| 34 return init_rest(copy(xinit)) | |
| 35 end | |
| 36 | |
| 37 function init_iterates(dim::ImageSize) | |
| 38 return init_rest(zeros(dim...)) | |
| 39 end | |
| 40 | |
| 41 ############ | |
| 42 # Algorithm | |
| 43 ############ | |
| 44 | |
| 45 function solve( :: Type{DisplacementT}; | |
| 46 dim :: ImageSize, | |
| 47 iterate = AlgTools.simple_iterate, | |
| 48 params::NamedTuple) where DisplacementT | |
| 49 | |
| 50 ################################ | |
| 51 # Extract and set up parameters | |
| 52 ################################ | |
| 53 | |
| 54 α, ρ = params.α, params.ρ | |
| 55 τ₀, τ̃₀ = params.τ₀, params.τ̃₀ | |
| 56 | |
| 57 R_K² = ∇₂_norm₂₂_est² | |
| 58 τ = τ₀/R_K² | |
| 59 | |
| 60 ###################### | |
| 61 # Initialise iterates | |
| 62 ###################### | |
| 63 | |
| 64 x, y, Δx, Δy = init_iterates(dim) | |
| 65 | |
| 66 #################### | |
| 67 # Run the algorithm | |
| 68 #################### | |
| 69 | |
| 70 v = iterate(params) do verbose :: Function, | |
| 71 b :: Image, | |
| 72 v_known :: DisplacementT, | |
| 73 🚫unused_b_next :: Image | |
| 74 | |
| 75 ################## | |
| 76 # Prediction step | |
| 77 ################## | |
| 78 | |
| 79 # Δx is a temporary storage variable of correct dimensions | |
| 80 flow!(@view(y[1,:, :]), Δx, v_known) | |
| 81 flow!(@view(y[2,:, :]), Δx, v_known) | |
| 82 | |
| 83 ∇₂ᵀ!(Δx, y) | |
| 84 @. x = b - Δx | |
| 85 ∇₂!(Δy, x) | |
| 86 @. y = (y - τ*Δy)/(1 + τ*ρ/α) | |
| 87 proj_norm₂₁ball!(y, α) | |
| 88 | |
| 89 ################################ | |
| 90 # Give function value if needed | |
| 91 ################################ | |
| 92 v = verbose() do | |
| 93 ∇₂ᵀ!(Δx, y) | |
| 94 @. x = b - Δx | |
| 95 ∇₂!(Δy, x) | |
| 96 value = norm₂²(b-x)/2 + α*γnorm₂₁(Δy, ρ) | |
| 97 value, x, [NaN, NaN], nothing | |
| 98 end | |
| 99 | |
| 100 v | |
| 101 end | |
| 102 | |
| 103 @warn "Using old x value. Better approach unimplemented as this algorithm is not good." | |
| 104 # ∇₂ᵀ!(Δx, y) | |
| 105 # @. x = b - Δx | |
| 106 | |
| 107 return x, y, v | |
| 108 end | |
| 109 | |
| 110 end # Module | |
| 111 | |
| 112 |
