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00:00:00 2001 From: rasmuskleist Date: Fri, 3 Nov 2023 16:17:37 +0100 Subject: [PATCH 02/54] Add requirements.txt file --- requirements.txt | 4 ++++ 1 file changed, 4 insertions(+) create mode 100644 requirements.txt diff --git a/requirements.txt b/requirements.txt new file mode 100644 index 0000000..00c2888 --- /dev/null +++ b/requirements.txt @@ -0,0 +1,4 @@ +matplotlib==3.7.1 +numpy==1.24.2 +scipy==1.10.1 +scikit-image==0.22.0 From 62aa5faff2f48e14446141dc6cc9c80bf387e2a5 Mon Sep 17 00:00:00 2001 From: jakobtkn Date: Fri, 3 Nov 2023 18:04:56 +0100 Subject: [PATCH 03/54] add template readme --- README.md | 59 +++++++++++++++++++++++++++++++++++++++++++-- results/01.png | Bin 0 -> 1578 bytes results/02.png | Bin 0 -> 1528 bytes results/03.png | Bin 0 -> 1207 bytes results/04.png | Bin 0 -> 1222 bytes results/11.png | Bin 0 -> 1689 bytes results/12.png | Bin 0 -> 1553 bytes results/13.png | Bin 0 -> 1314 bytes results/14.png | Bin 0 -> 1257 bytes results/41.png | Bin 0 -> 1642 bytes results/42.png | Bin 0 -> 1459 bytes results/43.png | Bin 0 -> 1344 bytes results/44.png | Bin 0 -> 1253 bytes results/71.png | Bin 0 -> 1611 bytes results/72.png | Bin 0 -> 1276 bytes results/73.png | Bin 0 -> 1306 bytes results/74.png | Bin 0 -> 1266 bytes results/reg1.png | Bin 0 -> 92442 bytes results/reg2.png | Bin 0 -> 119650 bytes results/scores.md | 3 +++ results/scores.txt | 3 +++ 21 files changed, 63 insertions(+), 2 deletions(-) create mode 100644 results/01.png create mode 100644 results/02.png create mode 100644 results/03.png create mode 100644 results/04.png create mode 100644 results/11.png create mode 100644 results/12.png create mode 100644 results/13.png create mode 100644 results/14.png create mode 100644 results/41.png create mode 100644 results/42.png create mode 100644 results/43.png create mode 100644 results/44.png create mode 100644 results/71.png create mode 100644 results/72.png create mode 100644 results/73.png create mode 100644 results/74.png create mode 100644 results/reg1.png create mode 100644 results/reg2.png create mode 100644 results/scores.md create mode 100644 results/scores.txt diff --git a/README.md b/README.md index 892a5e5..21adf1a 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,57 @@ -# Collab-KTC2023 -A space for developing the code of Team CUQI-DTU for the Kuopio Tomography Challenge 2023 on EIT +# EIT Image Reconstruction Algorithm +This is a submission for the [Kuopio Tomography Challenge](https://www.fips.fi/KTC2023.php). + +## Authors +- Amal Mohammed A Alghamdi (DTU), Denmark +- Martin Sæbye Carøe (DTU), Denmark +- Jasper Marijn Everink (DTU), Denmark +- Jakob Sauer Jørgensen (DTU), Denmark +- Kim Knudsen (DTU), Denmark +- Jakob Tore Kammeyer Nielsen (DTU), Denmark +- Aksel Kaastrup Rasmussen (DTU), Denmark +- Rasmus Kleist Hørlyck Sørensen (DTU), Denmark +- Chao Zhang (DTU), Denmark + +## Addresses +DTU: Technical University of Denmark, Department of Applied Mathematics and Computer Science Richard Petersens Plads Building 324 2800 Kgs. Lyngby Denmark + +## Description of the algorithm + +We have used the provided code for the EIT image reconstruction with the following modifications: +- The Otsu segmentation algorithm has been replaced by the Chan-Vese segmentation algorithm from scikit-image. +- Additional generalized Tikhonov regularization has been added to penalize more when close to the missing electrodes (and boundary). The regularization matrix is a diagonal matrix. For example, for difficulty level 5, the diagonal elements mapped to image space look as in the image below: +![](results/reg1.png) + +## Installation instructions +To run our EIT image reconstruction algorithm, you will need: + +- Python 3.x +- Required Python libraries (listed in `requirements.txt`) +- Access to the provided dataset (not included in this repository) + +## Usage instructions + +``` +python main.py path/to/input/files path/to/output/files difficulty +``` + +## Examples +| Phantom | Ref | Level 1 | Level 4 | Level 7 | +|---------- |----- |--- |--- |--- | +| **a** | ![](results/01.png) | ![](results/11.png) | ![](results/41.png) | ![](results/71.png) | +| **b** | ![](results/02.png) | ![](results/12.png) | ![](results/42.png) | ![](results/72.png) | +| **c** | ![](results/03.png) | ![](results/13.png) | ![](results/43.png) | ![](results/73.png) | +| **d** | ![](results/04.png) | ![](results/14.png) | ![](results/44.png) | ![](results/74.png) | + +Scores for each phantom and difficulty 1,4 and 7: +**TODO: ADD SCORES FOR EACH ALGORITHM** +| Phantom | Ref | Level 1 | Level 4 | Level 7 | +|----- |--- |--- |--- | +|**a** |||| +|**b** |||| +|**c** |||| +|**d** ||||| +Scores have been computed using our own implementation of the scoring function based on scikit learn. + +## License +All files in the repository come with the [Apache-v2.0](https://www.apache.org/licenses/LICENSE-2.0) license unless differently specified. \ No newline at end of file diff --git a/results/01.png b/results/01.png new file mode 100644 index 0000000000000000000000000000000000000000..c5c37f71f40ab9763d67fa279dad523597c8dbc2 GIT binary patch literal 1578 zcmdT^`%hDM6hHUd3Z<(;YX}vQhjc(%3Kej?#;E23ViAZyC)3F-po3K{qXij+_KrBj zX%q!~pr+t>`C=Glu!(X-gpIKX&bLGAaEWCiB{-}r^sX$Kzij`2Kb%L-=bZD)C!f!r z)=(RqY542n&$-d*)~~dFqJ3!0m4q0#x~*1g^Z$e%AKHA#Y8(8o*I8A6QFtb1uMw zBk}mE)S?p;BiGis$@pImyYBVt@`1n%Sd&QN6}?lHm<*X}LyGqLKAj0Bj-DQG?S2uy 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b/results/scores.md new file mode 100644 index 0000000..1cd6fa3 --- /dev/null +++ b/results/scores.md @@ -0,0 +1,3 @@ +0.749 0.918 0.934 0.750 +0.852 0.612 0.918 0.769 +0.528 0.470 0.888 0.757 diff --git a/results/scores.txt b/results/scores.txt new file mode 100644 index 0000000..1cd6fa3 --- /dev/null +++ b/results/scores.txt @@ -0,0 +1,3 @@ +0.749 0.918 0.934 0.750 +0.852 0.612 0.918 0.769 +0.528 0.470 0.888 0.757 From 99415e2c211f9decf7ea3db66ac4f94222f46588 Mon Sep 17 00:00:00 2001 From: rasmuskleist Date: Fri, 3 Nov 2023 16:12:05 +0100 Subject: [PATCH 04/54] Eclipse regularization and chan vese segmentation --- main.py | 96 +++++++++++++++++++++++++++++++-------------------------- 1 file changed, 52 insertions(+), 44 deletions(-) diff --git a/main.py b/main.py index 9063644..33b5f91 100644 --- a/main.py +++ b/main.py @@ -9,6 +9,7 @@ import KTCAux import matplotlib.pyplot as plt import glob +from skimage.segmentation import chan_vese def main(): @@ -119,56 +120,63 @@ def main(): Uel = mat_dict2["Uel"] Mpat = mat_dict2["Mpat"] deltaU = Uel - Uelref + ############################# Changed code + reg1 = 0.75 + reg2 = 1e15 + smprior.L = reg1*smprior.L + radius = np.max(np.linalg.norm(Mesh.g, axis = 1)) + m = Mesh.g.shape[0] + num_el = 32 - (2*categoryNbr - 1) + electrodes = np.zeros((num_el, 2)) + angle = 2*np.pi/Nel + for i in range(num_el): + electrodes[i] = radius*np.array([np.sin(i*angle), np.cos(i*angle)]) + + + D = np.zeros(m) + for i in range(m): + v = Mesh.g[i] + dist = np.zeros(num_el) + for k, e in enumerate(electrodes): + dist[k] = np.linalg.norm(v - e) + D[i] = (np.linalg.norm(dist, ord = 3)**3)*np.linalg.norm(v)**4 + + D = np.diag(D) + + mask = np.array(vincl, bool) # Mask the removed electrodes - Usim = solver.SolveForward(sigma0, z) #forward solution at the linearization point + deltaU = Uel - Uelref J = solver.Jacobian(sigma0, z) - #Jz = solver.Jacobianz(sigma0, z) #contact impedance jacobian - not used by the simple reconstruction algorithm - - mask = np.array(vincl, bool) - deltareco = np.linalg.solve(J.T @ solver.InvGamma_n[np.ix_(mask,mask)] @ J + smprior.L.T @ smprior.L,J.T @ solver.InvGamma_n[np.ix_(mask,mask)] @ deltaU[vincl]) - #sgplot = KTCPlotting.SigmaPlotter(Mesh, [5], 'jet') - # sgplot.basic2Dplot(deltareco, [], ['linear difference reconstruction']) + deltareco = np.linalg.solve(J.T @ solver.InvGamma_n[np.ix_(mask,mask)] @ J + smprior.L.T @ smprior.L + reg2*D.T@D, + J.T @ solver.InvGamma_n[np.ix_(mask,mask)] @ deltaU[vincl]) # interpolate the reconstruction into a pixel image deltareco_pixgrid = KTCAux.interpolateRecoToPixGrid(deltareco, Mesh) - # fig, ax = plt.subplots() - # cax = ax.imshow(deltareco_pixgrid, cmap="jet") - # plt.colorbar(cax) - # plt.axis('image') - - # threshold the image histogram using Otsu's method - level, x = KTCScoring.Otsu2(deltareco_pixgrid.flatten(), 256, 7) - - deltareco_pixgrid_segmented = np.zeros_like(deltareco_pixgrid) - - ind0 = deltareco_pixgrid < x[level[0]] - ind1 = np.logical_and(deltareco_pixgrid >= x[level[0]],deltareco_pixgrid <= x[level[1]]) - ind2 = deltareco_pixgrid > x[level[1]] - inds = [np.count_nonzero(ind0),np.count_nonzero(ind1),np.count_nonzero(ind2)] - bgclass = inds.index(max(inds)) #background class - - match bgclass: - case 0: - deltareco_pixgrid_segmented[ind1] = 2 - deltareco_pixgrid_segmented[ind2] = 2 - case 1: - deltareco_pixgrid_segmented[ind0] = 1 - deltareco_pixgrid_segmented[ind2] = 2 - case 2: - deltareco_pixgrid_segmented[ind0] = 1 - deltareco_pixgrid_segmented[ind1] = 1 - - # fig, ax = plt.subplots() - # cax = ax.imshow(deltareco_pixgrid_segmented, cmap='gray') - # plt.colorbar(cax) - # plt.axis('image') - # plt.title('segmented linear difference reconstruction') - - # fig, ax = plt.subplots() - # cax = ax.imshow(deltareco_pixgrid, cmap='gray') - # plt.colorbar(cax) - # plt.axis('image') + # Do Chan-Vese segmentation + mu = np.mean(deltareco_pixgrid) + # Feel free to play around with the parameters to see how they impact the result + cv = chan_vese(abs(deltareco_pixgrid), mu=0.1, lambda1=1, lambda2=1, tol=1e-6, + max_num_iter=1000, dt=2.5, init_level_set="checkerboard", + extended_output=True) + + labeled_array, num_features = sp.ndimage.label(cv[0]) + # Initialize a list to store masks for each region + region_masks = [] + + # Loop through each labeled region + deltareco_pixgrid_segmented = np.zeros((256,256)) + + for label in range(1, num_features + 1): + # Create a mask for the current region + region_mask = labeled_array == label + region_masks.append(region_mask) + if np.mean(deltareco_pixgrid[region_mask]) < mu: + deltareco_pixgrid_segmented[region_mask] = 1 + else: + deltareco_pixgrid_segmented[region_mask] = 2 + + ################################### End of changed code reconstruction = deltareco_pixgrid_segmented mdic = {"reconstruction": reconstruction} print(outputFolder + '/' + str(objectno + 1) + '.mat') From c768d3db7969c610ae23a27800bf2a1ffae112cd Mon Sep 17 00:00:00 2001 From: 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scores --- README.md | 10 +++++----- results/scores.txt | 7 ++++--- 2 files changed, 9 insertions(+), 8 deletions(-) diff --git a/README.md b/README.md index 7c913af..0971e9c 100644 --- a/README.md +++ b/README.md @@ -45,12 +45,12 @@ python main.py path/to/input/files path/to/output/files difficulty Scores for each phantom and difficulty 1,4 and 7: **TODO: ADD SCORES FOR EACH ALGORITHM** -| Phantom | Ref | Level 1 | Level 4 | Level 7 | +| Phantom | Level 1 | Level 4 | Level 7 | |----- |--- |--- |--- | -|**a**|||| -|**b**|||| -|**c**|||| -|**d**||||| +|**a**|0.835|0.737|0.526| +|**b**|0.761|0.563|0.499| +|**c**|0.942|0.918|0.844| +|**d**|0.767|0.774|0.751| Scores have been computed using our own implementation of the scoring function based on scikit learn. ## License diff --git a/results/scores.txt b/results/scores.txt index f9e3efa..b06539f 100644 --- a/results/scores.txt +++ b/results/scores.txt @@ -1,3 +1,4 @@ -0.835 0.761 0.942 0.767 -0.737 0.563 0.918 0.774 -0.526 0.499 0.844 0.751 +0.835 0.737 0.526 +0.761 0.563 0.499 +0.942 0.918 0.844 +0.767 0.774 0.751 From 5f2df9b2ef54754bfd2cc22aac68a60abdc20639 Mon Sep 17 00:00:00 2001 From: jakobtkn Date: Sat, 4 Nov 2023 11:43:28 +0100 Subject: [PATCH 07/54] removed todo --- README.md | 1 - 1 file changed, 1 deletion(-) diff --git a/README.md b/README.md index 0971e9c..2f56296 100644 --- a/README.md +++ b/README.md @@ -44,7 +44,6 @@ python main.py path/to/input/files path/to/output/files difficulty |**d**| ![](results/04.png) | ![](results/14.png) | ![](results/44.png) | ![](results/74.png) | Scores for each phantom and difficulty 1,4 and 7: -**TODO: ADD SCORES FOR EACH ALGORITHM** | Phantom | Level 1 | Level 4 | Level 7 | |----- |--- |--- |--- | |**a**|0.835|0.737|0.526| From 6b49f80a62e98e57b580e195ae3bf1eca36e8705 Mon Sep 17 00:00:00 2001 From: jakobtkn Date: Sat, 4 Nov 2023 12:02:25 +0100 Subject: [PATCH 08/54] fixed table --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 2f56296..25bb5e3 100644 --- a/README.md +++ b/README.md @@ -50,6 +50,7 @@ Scores for each phantom and difficulty 1,4 and 7: |**b**|0.761|0.563|0.499| |**c**|0.942|0.918|0.844| |**d**|0.767|0.774|0.751| + Scores have been computed using our own implementation of the scoring function based on scikit learn. ## License From 0df463b7888a99ff054421ff01d05aad8c6495de Mon Sep 17 00:00:00 2001 From: amal-ghamdi Date: Sat, 4 Nov 2023 16:23:59 +0100 Subject: [PATCH 09/54] add files initially --- EITLib/KTCRegularization.py | 118 ++++++++ EITLib/KTCScoring.py | 129 +++++++++ EITLib/eit_optimise.py | 541 +++++++++++++++++++++++++++++++++++ EITLib/mesh_file_32_300.h5 | Bin 0 -> 63248 bytes EITLib/mesh_file_32_300.xdmf | 14 + EITLib/segmentation.py | 74 +++++ EITLib/smprior_32_300.p | Bin 0 -> 18837832 bytes EITLib/utils.py | 490 +++++++++++++++++++++++++++++++ 8 files changed, 1366 insertions(+) create mode 100644 EITLib/KTCRegularization.py create mode 100644 EITLib/KTCScoring.py create mode 100644 EITLib/eit_optimise.py create mode 100644 EITLib/mesh_file_32_300.h5 create mode 100644 EITLib/mesh_file_32_300.xdmf create mode 100644 EITLib/segmentation.py create mode 100644 EITLib/smprior_32_300.p create mode 100644 EITLib/utils.py diff --git a/EITLib/KTCRegularization.py b/EITLib/KTCRegularization.py new file mode 100644 index 0000000..9e4bd89 --- /dev/null +++ b/EITLib/KTCRegularization.py @@ -0,0 +1,118 @@ +#%% +import numpy as np +import matplotlib.pyplot as plt + +class SMPrior: + def __init__(self, ginv, corrlength, var, mean, covariancetype=None): + self.corrlength = corrlength + self.mean = mean + self.c = 1e-9 # default value + if covariancetype is not None: + self.covariancetype = covariancetype + else: + self.covariancetype = 'Squared Distance' # default + self.compute_L(ginv, corrlength, var) + + def compute_L(self, g, corrlength, var): + ng = g.shape[0] + a = var - self.c + b = np.sqrt(-corrlength**2 / (2 * np.log(0.01))) + Gamma_pr = np.zeros((ng, ng)) + + for ii in range(ng): + for jj in range(ii, ng): + dist_ij = np.linalg.norm(g[ii, :] - g[jj, :]) + if self.covariancetype == 'Squared Distance': + gamma_ij = a * np.exp(-dist_ij**2 / (2 * b**2)) + elif self.covariancetype == 'Ornstein-Uhlenbeck': + gamma_ij = a * np.exp(-dist_ij / corrlength) + else: + raise ValueError('Unrecognized prior covariance type') + if ii == jj: + gamma_ij = gamma_ij + self.c + Gamma_pr[ii, jj] = gamma_ij + Gamma_pr[jj, ii] = gamma_ij + + + self.L = np.linalg.cholesky(np.linalg.inv(Gamma_pr)).T + + def draw_samples(self, nsamples): + samples = self.mean + np.linalg.solve(self.L, np.random.randn(self.L.shape[0], nsamples)) + return samples + + def eval_fun(self, args): + sigma = args[0] + res = 0.5 * np.linalg.norm(self.L @ (sigma - self.mean))**2 + return res + + def evaluate_target_external(self, x, compute_grad=False): + x = x.reshape((-1,1)) + # print("x.shape: ", x.shape) + # print("self.mean.shape: ", self.mean.shape) + if compute_grad: + grad = self.L.T @ self.L @ (x - self.mean) + else: + grad = None + + return self.eval_fun(x), grad + + + def compute_hess_and_grad(self, args, nparam): + sigma = args[0] + Hess = self.L.T @ self.L + grad = Hess @ (sigma - self.mean) + + if nparam > len(sigma): + Hess = np.block([[Hess, np.zeros((len(sigma), nparam - len(sigma)))], + [np.zeros((nparam - len(sigma), len(sigma))), np.zeros((nparam - len(sigma), nparam - len(sigma)))]]) + grad = np.concatenate([grad, np.zeros(nparam - len(sigma))]) + + return Hess, grad + + +if __name__ == '__main__': + from utils import EITFenics, create_disk_mesh + from dolfin import * + import pickle + L = 32 + F = 25 + n = 300 + radius = 0.115 + mesh = create_disk_mesh(radius, n, F) + myeit = EITFenics(mesh, L, background_conductivity=0.8) + H = FunctionSpace(myeit.mesh, 'CG', 1) + + plot(myeit.mesh) + + v2d = vertex_to_dof_map(H) + d2v = dof_to_vertex_map(H) + + sigma0 = 0.8*np.ones((myeit.mesh.num_vertices(), 1)) #linearization point + corrlength = radius#* 0.115 #used in the prior + var_sigma = 0.05 ** 2 #prior variance + mean_sigma = sigma0 + smprior = SMPrior(myeit.mesh.coordinates()[d2v], corrlength, var_sigma, mean_sigma) + + + sample = smprior.draw_samples(1) + fun = Function(H) + fun.vector().set_local(sample) + im = plot(fun) + plt.colorbar(im) + + mesh_file =XDMFFile('mesh_file_'+str(L)+'_'+str(n)+'.xdmf') + mesh_file.write(myeit.mesh) + mesh_file.close() + #%% + file = open('smprior_'+str(L)+'_'+str(n)+'.p', 'wb') + pickle.dump(smprior, file) + file.close() + + + + + + + + +# %% diff --git a/EITLib/KTCScoring.py b/EITLib/KTCScoring.py new file mode 100644 index 0000000..50b145e --- /dev/null +++ b/EITLib/KTCScoring.py @@ -0,0 +1,129 @@ +import numpy as np +import matplotlib.pyplot as plt +import scipy.signal as sps + +def Otsu(image, nvals, figno): + # binary Otsu's method for finding the segmentation level for sigma + histogramCounts, x = np.histogram(image.ravel(), nvals) + # plt.figure(figno) + # plt.clf() + # plt.hist(image.ravel(), 256) + # plt.hold(True) + + total = np.sum(histogramCounts) + top = 256 + sumB = 0 + wB = 0 + maximum = 0.0 + sum1 = np.dot(np.arange(top), histogramCounts) + for ii in range(1, top): + wF = total - wB + if wB > 0 and wF > 0: + mF = (sum1 - sumB) / wF + val = wB * wF * (((sumB / wB) - mF) ** 2) + if val >= maximum: + level = ii + maximum = val + wB = wB + histogramCounts[ii] + sumB = sumB + (ii - 1) * histogramCounts[ii] + + # plt.plot([x[level]] * 2, [0, np.max(histogramCounts)], linewidth=2, color='r') + # plt.title('histogram of image pixels') + # plt.gcf().set_size_inches(9, 5) + # plt.show() + + return level, x + +def Otsu2(image, nvals, figno): + # three class Otsu's method to find the semgentation point of sigma + histogramCounts, tx = np.histogram(image.ravel(), nvals) + x = (tx[0:-1] + tx[1:])/2 + # plt.figure(figno) + # plt.clf() + # plt.stairs(histogramCounts, tx) + # plt.hold(True) + + #total = np.sum(histogramCounts) + #top = 256 + maximum = 0.0 + muT = np.dot(np.arange(1, nvals+1), histogramCounts) / np.sum(histogramCounts) + for ii in range(1, nvals): + for jj in range(1, ii): + w1 = np.sum(histogramCounts[:jj]) + w2 = np.sum(histogramCounts[jj:ii]) + w3 = np.sum(histogramCounts[ii:]) + if w1 > 0 and w2 > 0 and w3 > 0: + mu1 = np.dot(np.arange(1, jj+1), histogramCounts[:jj]) / w1 + mu2 = np.dot(np.arange(jj+1, ii+1), histogramCounts[jj:ii]) / w2 + mu3 = np.dot(np.arange(ii+1, nvals+1), histogramCounts[ii:]) / w3 + + val = w1 * ((mu1 - muT) ** 2) + w2 * ((mu2 - muT) ** 2) + w3 * ((mu3 - muT) ** 2) + if val >= maximum: + level = [jj-1, ii-1] + maximum = val + + # plt.plot([x[level[0]]] * 2, [0, np.max(histogramCounts)], linewidth=2, color='r') + # plt.plot([x[level[1]]] * 2, [0, np.max(histogramCounts)], linewidth=2, color='r') + # plt.title('histogram of image pixels') + # plt.gcf().set_size_inches(9, 5) + # plt.show() + + return level, x + +def scoringFunction(groundtruth, reconstruction): + + if (np.any(groundtruth.shape != np.array([256, 256]))): + raise Exception('The shape of the given ground truth is not 256 x 256!') + + if (np.any(reconstruction.shape != np.array([256, 256]))): + return 0 + + truth_c = np.zeros(groundtruth.shape) + truth_c[np.abs(groundtruth - 2) < 0.1] = 1 + reco_c = np.zeros(reconstruction.shape) + reco_c[np.abs(reconstruction - 2) < 0.1] = 1 + + score_c = ssim(truth_c, reco_c) + + truth_d = np.zeros(groundtruth.shape) + truth_d[np.abs(groundtruth - 1) < 0.1] = 1 + reco_d = np.zeros(reconstruction.shape) + reco_d[np.abs(reconstruction - 1) < 0.1] = 1 + + score_d = ssim(truth_d, reco_d) + + score = 0.5*(score_c + score_d) + + return score + +def ssim(truth, reco): + + c1 = 1e-4 + c2 = 9e-4 + r = 80 + + ws = np.ceil(2*r) + wr = np.arange(-ws, ws+1) + X, Y = np.meshgrid(wr, wr) + ker = (1/np.sqrt(2*np.pi)) * np.exp(-0.5 * np.divide((np.square(X) + np.square(Y)), r**2)) + correction = sps.convolve2d(np.ones(truth.shape), ker, mode='same') + + gt = np.divide(sps.convolve2d(truth, ker, mode='same'), correction) + gr = np.divide(sps.convolve2d(reco, ker, mode='same'), correction) + + mu_t2 = np.square(gt) + mu_r2 = np.square(gr) + mu_t_mu_r = np.multiply(gt, gr) + + sigma_t2 = np.divide(sps.convolve2d(np.square(truth), ker, mode='same'), correction) - mu_t2 + sigma_r2 = np.divide(sps.convolve2d(np.square(reco), ker, mode='same'), correction) - mu_r2 + sigma_tr = np.divide(sps.convolve2d(np.multiply(truth, reco), ker, mode='same'), correction) - mu_t_mu_r; + + num = np.multiply((2*mu_t_mu_r + c1), (2*sigma_tr + c2)) + den = np.multiply((mu_t2 + mu_r2 + c1), (sigma_t2 + sigma_r2 + c2)) + ssimimage = np.divide(num, den) + + score = np.mean(ssimimage) + + return score + diff --git a/EITLib/eit_optimise.py b/EITLib/eit_optimise.py new file mode 100644 index 0000000..2949307 --- /dev/null +++ b/EITLib/eit_optimise.py @@ -0,0 +1,541 @@ +# %% +from dolfin import * +from matplotlib import pyplot as plt +from utils import * +import scipy.io as io +import nlopt +from KTCRegularization import SMPrior +import pickle +from scipy.ndimage import gaussian_filter +from segmentation import cv, scoring_function + +# set up parameters +high_conductivity = 1e1 +low_conductivity = 1e-2 +background_conductivity = 0.8 +radius = 0.115 +difficulty_level = 1 + +# %% set up data +case_name = 'case1' # 'case1' , case3', 'case4', 'case_ref' +input_dir = './input/' +output_dir = './output/' + +# %% Call KTC challange code to make reconstructions +#import sys +#sys.path.append("/Users/amal/Documents/research_code/CUQI-DTU/Collab-KTC2023/KTC_code") + +#from main import main + +#main(input_dir,output_dir,difficulty_level) + + +Imatr = io.loadmat(input_dir+"ref.mat")["Injref"] + +background_phantom_file_name = input_dir+"true1.mat" +background_phantom = io.loadmat(background_phantom_file_name)["truth"] +background_phantom[:] = 0 +background_Uel_ref = io.loadmat(input_dir+"ref.mat")["Uelref"].flatten() +background_phantom_float = np.zeros(background_phantom.shape) +background_phantom_float[:] = background_conductivity + +if case_name == 'case1': + phantom_file_name = input_dir+"true1.mat" + phantom = io.loadmat(phantom_file_name)["truth"] + Uel_ref = io.loadmat(input_dir+"data1.mat")["Uel"].flatten() + recon_KTC_file = output_dir+"1.mat" + + +elif case_name == 'case2': + phantom_file_name = input_dir+"true2.mat" + phantom = io.loadmat(phantom_file_name)["truth"] + Uel_ref = io.loadmat(input_dir+"data2.mat")["Uel"].flatten() + +elif case_name == 'case3': + phantom_file_name = input_dir+"true3.mat" + phantom = io.loadmat(phantom_file_name)["truth"] + Uel_ref = io.loadmat(input_dir+"data3.mat")["Uel"].flatten() + +elif case_name == 'case4': + phantom_file_name = input_dir+"true4.mat" + phantom = io.loadmat(phantom_file_name)["truth"] + Uel_ref = io.loadmat(input_dir+"data4.mat")["Uel"].flatten() + +elif case_name == 'case_ref': + + phantom = background_phantom + Uel_ref = background_Uel_ref + + +else: + raise Exception("unknown case") + + + +# # Update phantom to make it of float type with correct conductivity values +# Define conductivity +phantom_float = np.zeros(phantom.shape) +phantom_float[phantom == 0] = background_conductivity +phantom_float[np.isclose(phantom, 1, rtol=0.01)] = low_conductivity +phantom_float[phantom == 2] = high_conductivity + +# %% build eit-fenics model +L = 32 +mesh = Mesh() +with XDMFFile("mesh_file_32_300.xdmf") as infile: + infile.read(mesh) +myeit = EITFenics(mesh=mesh, L=L, background_conductivity=background_conductivity) +# #%% +# mysigma = interpolate(myeit.inclusion, myeit.H_sigma) +# sigma_values = mysigma.vector()[:] +# sigma_values = np.ones(myeit.mesh.num_cells()) +# myeit.evalute_target_external(Imatr, sigma_values, Uel_ref) + + +# %% Voltage with background phantom +background_Uel_sim, background_Q, background_q_list = myeit.solve_forward(Imatr, background_phantom_float, 76) + +# %% Prepare simulated/fake data +Uel_sim, Q, q_list = myeit.solve_forward(Imatr, phantom_float, 76) +myeit.add_background_sol_info(background_Uel_sim, background_Uel_ref, background_q_list) +myeit.SetInvGamma( 0.05, 0.01, meas_data=Uel_ref- background_Uel_ref) + +# %% +Uel_data = Uel_ref +#%% OBJECTIVE FUNCTION +# load smprior object +file = open("smprior_32_300.p", 'rb') +smprior = pickle.load(file) + +# %% +eva_count = 0 + +class Target: + def __init__(self, myeit, x0, delta) -> None: + self.myeit = myeit + self.x0 = x0 + q0 = Function(myeit.H_sigma) + q0.vector().set_local(x0) + self.tv_penalty = MyTV(q0, myeit.mesh, delta) + def eval(self, x, grad): + global eva_count + compute_grad = False + if grad.size >0: + compute_grad=True + v1, g1 = self.myeit.evaluate_target_external(Imatr, x, Uel_data, compute_grad=compute_grad) + + # v2, g2 = smprior.evaluate_target_external(x, compute_grad=compute_grad) # replace this with tv + qk = Function(self.myeit.H_sigma) + qk.vector().set_local(x) + v2 = self.tv_penalty.eval_TV(qk) + if compute_grad: + g2 = self.tv_penalty.eval_grad(qk).get_local() + if grad.size >0: + grad[:] = g1.flatten()+g2.flatten() + print("[",eva_count,"]:", v1+v2, "(", v1, "+", v2, ")") + eva_count += 1 + + + plt.figure() + im = plot(self.myeit.inclusion) + plt.colorbar(im) + plt.title("sigma") + plt.show() + + if (compute_grad): + g1_fenics = Function(self.myeit.H_sigma) + g1_fenics.vector()[:] = g1.flatten() + g2_fenics = Function(self.myeit.H_sigma) + g2_fenics.vector()[:] = g2.flatten() + g_fenics = Function(self.myeit.H_sigma) + g_fenics.vector()[:] = grad + plt.figure() + im = plot(g1_fenics) + plt.colorbar(im) + plt.title("grad 1") + plt.show() + plt.figure() + im = plot(g2_fenics) + plt.colorbar(im) + plt.title("grad 2") + plt.show() + plt.figure() + im = plot(g_fenics) + plt.colorbar(im) + plt.title("grad (1 + 2)") + plt.show() + + return v1+v2 + +# %% +delta = 1e-3 +# tv_penalty = MyTV(myeit.inclusion, myeit.mesh,delta) + + + +# %% +opt = nlopt.opt(nlopt.LD_SLSQP, myeit.H_sigma.dim()) +opt.set_lower_bounds(1e-5*np.ones(myeit.H_sigma.dim())) +opt.set_upper_bounds(1e2*np.ones(myeit.H_sigma.dim())) + + +#x0= 10*np.ones(myeit.H_sigma.dim()) + + +# %% +#my_target = Target(myeit, x0, delta) + +#opt.set_min_objective(my_target.eval) +#opt.set_xtol_rel(1e-4) +#opt.set_maxeval(100) + + + +#x = opt.optimize(x0) +#minf = opt.last_optimum_value() +#print('optimum at ', x) +#print('minimum value = ', minf) +#print('result code = ', opt.last_optimize_result()) +#print('nevals = ', opt.get_numevals()) +#print('initial step =', opt.get_initial_step(x0)) +# %% +#myeit.inclusion.vector()[:] = x +#im = plot(myeit.inclusion) +#plt.colorbar(im) +# %% + +# optimise using scipy + +# %% + +from scipy.optimize import minimize + +class Target_scipy: + def __init__(self, myeit, smprior, Imatr, Uel_data, factor=1) -> None: + self.myeit = myeit + self.smprior = smprior + self.Imatr = Imatr + self.Uel_data = Uel_data + self.v1 = None + self.v2 = None + self.g1 = None + self.g2 = None + self.factor = factor + self.counter = 0 + def obj_scipy(self,x): + self.counter +=1 + self.v1, self.g1 = self.myeit.evaluate_target_external(self.Imatr, x, self.Uel_data, compute_grad=True) + factor = self.factor + self.v2, self.g2 = self.smprior.evaluate_target_external(x, compute_grad=True) + + print(self.counter) + if self.counter % 5 == 0: + plt.figure() + im = plot(self.myeit.inclusion) + plt.colorbar(im) + plt.title("sigma "+str(self.counter)) + plt.show() + + if self.counter == 30: + self.factor = 1 + + + print(self.v1+factor*self.v2, "(", self.v1, "+",factor, "*", self.v2, ")") + + return self.v1+factor*self.v2 + + def obj_scipy_grad(self, x): + g1 = self.g1 + g2 = self.g2 + factor = self.factor + + if self.counter % 20 == 0: + g1_fenics = Function(self.myeit.H_sigma) + g1_fenics.vector()[:] = g1.flatten() + g2_fenics = Function(self.myeit.H_sigma) + g2_fenics.vector()[:] = g2.flatten() + g_fenics = Function(self.myeit.H_sigma) + g_fenics.vector()[:] = g1.flatten()+factor*g2.flatten() + plt.figure() + im = plot(g1_fenics) + plt.colorbar(im) + plt.title("grad 1") + plt.show() + plt.figure() + im = plot(g2_fenics) + plt.colorbar(im) + plt.title("grad 2") + plt.show() + plt.figure() + im = plot(g_fenics) + plt.colorbar(im) + plt.title("grad (1 + factor*2)") + plt.show() + # fig, axs = plt.subplots(1, 4) + # axs[0].plot(myeit.inclusion) + # axs[0].set_title("sigma") + # axs[1].plot(g1_fenics) + # axs[1].set_title("grad 1") + # axs[2].plot(g2_fenics) + # axs[2].set_title("grad 2") + # axs[3].plot(g_fenics) + # axs[3].set_title("grad = grad 1 + factor * grad 2") + + return g1.flatten()+factor*g2.flatten() + +target_scipy = Target_scipy( myeit, smprior, Imatr, Uel_data, factor=1e-4) + +# Class Target_scipy_TV for TV regularization that uses TV_reg + +class Target_scipy_TV: + def __init__(self, myeit, tv_reg, smprior, Imatr, Uel_data, factor=1, factor_sm=1) -> None: + self.myeit = myeit + self.tv_reg = tv_reg + self.Imatr = Imatr + self.Uel_data = Uel_data + self.v1 = None + self.v2 = None + self.v3 = None + self.g1 = None + self.g2 = None + self.g3 = None + self.factor = factor + self.factor_sm = factor_sm + self.smprior = smprior + self.counter = 0 + self.list_v1 = [] + self.list_v2 = [] + self.list_v3 = [] + + + def obj_scipy(self,x): + x_fun = Function(self.myeit.H_sigma) + x_fun.vector().set_local(x) + + self.counter +=1 + self.v1, self.g1 = self.myeit.evaluate_target_external(self.Imatr, x, self.Uel_data, compute_grad=True) + self.v3, self.g3 = self.smprior.evaluate_target_external(x, compute_grad=True) + factor = self.factor + self.v2 = self.tv_reg.cost_reg(x_fun ) + #self.factor = 0.6*((self.v1/2)/self.v2) + #self.factor_sm = 0.6*((self.v1/2)/self.v3) + self.list_v1.append(np.log(self.v1)) + self.list_v2.append(np.log(self.factor*self.v2)) + self.list_v3.append(np.log(self.factor_sm*self.v3)) + + + + + print(self.counter) + if self.counter % 5 == 0: + plt.figure() + im = plot(self.myeit.inclusion) + plt.colorbar(im) + plt.title("sigma "+str(self.counter)) + plt.show() + plt.figure() + plt.plot(self.list_v1) + plt.title("v1") + plt.show() + plt.figure() + plt.plot(self.list_v2) + plt.title("v2") + plt.show() + plt.figure() + plt.plot(self.list_v3) + plt.title("v3") + plt.show() + + + + + + print(self.v1+factor*self.v2, "(", self.v1, "+", factor*self.v2, "+", self.factor_sm*self.v3, ")") + + return self.v1+factor*self.v2+self.factor_sm*self.v3 + + def obj_scipy_grad(self, x): + x_fun = Function(self.myeit.H_sigma) + x_fun.vector().set_local(x) + g1 = self.g1 + g2 = self.tv_reg.grad_reg(x_fun).get_local() + self.g2 = g2 + g3 = self.g3 + + factor = self.factor + factor_sm = self.factor_sm + + if self.counter % 20 == 0: + g1_fenics = Function(self.myeit.H_sigma) + g1_fenics.vector()[:] = g1.flatten() + g2_fenics = Function(self.myeit.H_sigma) + g2_fenics.vector()[:] = g2.flatten() + g3_fenics = Function(self.myeit.H_sigma) + g3_fenics.vector()[:] = g3.flatten() + g_fenics = Function(self.myeit.H_sigma) + g_fenics.vector()[:] = g1.flatten()+factor*g2.flatten()+factor_sm*g3.flatten() + plt.figure() + im = plot(g1_fenics) + plt.colorbar(im) + plt.title("grad 1") + plt.show() + plt.figure() + im = plot(g2_fenics) + plt.colorbar(im) + plt.title("grad 2") + plt.show() + plt.figure() + im = plot(g3_fenics) + plt.colorbar(im) + plt.title("grad 3") + plt.figure() + im = plot(g_fenics) + plt.colorbar(im) + plt.title("grad (g1 + factor*g2 + factor_sm*g3)") + plt.show() + + + return g1.flatten()+factor*g2.flatten()+factor_sm*g3.flatten() + + + + + + +#%% + +# Create initial guess x0 + +recon_background_flag = False + +if recon_background_flag: + recon_KTC = io.loadmat(recon_KTC_file)["reconstruction"] + recon_KTC_float = np.zeros_like(recon_KTC) + recon_KTC_float[:] = recon_KTC + recon_KTC_float[recon_KTC_float == 0] = background_conductivity + recon_KTC_float[recon_KTC_float == 1] = low_conductivity + recon_KTC_float[recon_KTC_float == 2] = high_conductivity + + im = plt.imshow(np.flipud(recon_KTC_float)) + plt.title('KTC reconstruction, flipped for interpolation') + plt.colorbar(im) + + recon_KTC_float_smoothed = gaussian_filter(recon_KTC_float, sigma=30) + plt.figure() + im = plt.imshow(recon_KTC_float_smoothed) + plt.colorbar(im) + + + x0_exp = Inclusion(np.fliplr(recon_KTC_float_smoothed.T), radius, degree=1) + x0_fun = interpolate(x0_exp, myeit.H_sigma) + plot(x0_fun) + x0 = x0_fun.vector().get_local() +else: + x0 = 0.8 * np.ones(myeit.H_sigma.dim()) + + +tv_reg = TV_reg(myeit.H_sigma, None, 1, 1e-4) +target_scipy_TV = Target_scipy_TV( myeit, tv_reg, smprior=smprior, Imatr=Imatr, Uel_data=Uel_data, factor=5e6, factor_sm=0.6) +#%% + +# fenics function with circular inclusion +#myexp = Expression("x[0]*x[0] + x[1]*x[1] < r*r ? 0.8 : 0.8", r=0.115, degree=1) +#my_x0 = interpolate(myexp, myeit.H_sigma) +#x0 = my_x0.vector().get_local() +#plt.figure() +#im = plot(my_x0) +# time: +import time +start = time.time() +bounds = [(1e-5,100)]*myeit.H_sigma.dim() +res = minimize(target_scipy_TV.obj_scipy, x0, method='L-BFGS-B', jac=target_scipy_TV.obj_scipy_grad, options={'disp': True, 'maxiter':50} , bounds=bounds) +end = time.time() +print("time elapsed: ", end-start) +print("time elapsed in minutes: ", (end-start)/60) +# %% +#res_fenics = Function(myeit.H_sigma) +#res_fenics.vector().set_local( res['x']) +res_fenics = target_scipy.myeit.inclusion +plt.figure() +im = plot(res_fenics) +plt.colorbar(im) +# %% +#project and segment + +X, Y = np.meshgrid(np.linspace(-radius,radius,256),np.linspace(-radius,radius,256) ) +Z = np.zeros_like(X) + +# interpolate to the grid: +for i in range(256): + for j in range(256): + try: + Z[i,j] = res_fenics(X[i,j], Y[i,j]) + except: + Z[i,j] = background_conductivity + +#%% + +from KTCScoring import Otsu2 +deltareco_pixgrid = np.flipud(Z) +level, x = Otsu2(deltareco_pixgrid.flatten(), 256, 7) + + + + +deltareco_pixgrid_segmented = np.zeros_like(deltareco_pixgrid) +ind0 = deltareco_pixgrid < x[level[0]] +ind1 = np.logical_and(deltareco_pixgrid >= x[level[0]],deltareco_pixgrid <= x[level[1]]) +ind2 = deltareco_pixgrid > x[level[1]] +inds = [np.count_nonzero(ind0),np.count_nonzero(ind1),np.count_nonzero(ind2)] +bgclass = inds.index(max(inds)) #background clas +match bgclass: + case 0: + deltareco_pixgrid_segmented[ind1] = 2 + deltareco_pixgrid_segmented[ind2] = 2 + case 1: + deltareco_pixgrid_segmented[ind0] = 1 + deltareco_pixgrid_segmented[ind2] = 2 + case 2: + deltareco_pixgrid_segmented[ind0] = 1 + deltareco_pixgrid_segmented[ind1] = 1 +# fig, ax = plt.subplots() +# cax = ax.imshow(deltareco_pixgrid_segmented, cmap='gray') +# plt.colorbar(cax) +# plt.axis('image') +# plt.title('segmented linear difference reconstruction') +#%% +plt.figure() +cax = plt.imshow(deltareco_pixgrid_segmented) + + +# plot circle of radius 0.115 +theta = np.linspace(0, 2*np.pi, 100) +cir_rad = 256/2 +x = cir_rad*np.cos(theta) +y = cir_rad*np.sin(theta) +plt.plot(x+cir_rad, y+cir_rad, color='red', linewidth=2) +plt.title('segmented reconstruction') +plt.axis('image') +plt.colorbar(cax) + +#%% plot chan vesa segmentation +cv_seg = cv( np.log(deltareco_pixgrid) + deltareco_pixgrid, mu=.1, lambda1=0.5, lambda2=0.5, init_level_set='checkerboard') + +plt.figure() +im = plt.imshow(cv_seg, cmap='gray') +plt.colorbar(im) +plt.title('Chan Vese segmentation') + +#%% +plt.figure() +cax = plt.imshow(phantom, cmap='gray') +plt.title('phantom') +plt.colorbar(cax) +# %% +#print("KTC score: ", scoring_function(recon_KTC,phantom)) +print("CV score: ", scoring_function(cv_seg,phantom)) +print("Otsu score: ", scoring_function(deltareco_pixgrid_segmented,phantom)) + + + +# %% diff --git a/EITLib/mesh_file_32_300.h5 b/EITLib/mesh_file_32_300.h5 new file mode 100644 index 0000000000000000000000000000000000000000..699d0decb179a9161e8303ca620788b2c9bf3e04 GIT binary patch literal 63248 zcmeFZb+i}9wyupsa0np@5G)V~?j%^_79hC0ySux)ySpvc!nJXCcXxsWckc7DYM!%p 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numpy as np +from skimage.metrics import structural_similarity as ssim + + +def cv(deltareco_pixgrid, mu=0.1, lambda1=1, lambda2=1, init_level_set="checkerboard"): + mu = np.mean(deltareco_pixgrid) + # Feel free to play around with the parameters to see how they impact the result + cv = chan_vese(abs(deltareco_pixgrid), mu=mu, lambda1=lambda1, lambda2=lambda2, tol=1e-6, + max_num_iter=1000, dt=2.5, init_level_set=init_level_set, + extended_output=True) + + labeled_array, num_features = ndimage.label(cv[0]) + # Initialize a list to store masks for each region + region_masks = [] + + # Loop through each labeled region + deltareco_pixgrid_segmented = np.zeros((256,256)) + + for label in range(1, num_features + 1): + # Create a mask for the current region + region_mask = labeled_array == label + region_masks.append(region_mask) + if np.mean(deltareco_pixgrid[region_mask]) < mu: + deltareco_pixgrid_segmented[region_mask] = 1 + else: + deltareco_pixgrid_segmented[region_mask] = 2 + + return deltareco_pixgrid_segmented + + +def otsu(deltareco_pixgrid): + level, x = KTCScoring.Otsu2(deltareco_pixgrid.flatten(), 256, 7) + deltareco_pixgrid_segmented = np.zeros_like(deltareco_pixgrid) + + ind0 = deltareco_pixgrid < x[level[0]] + ind1 = np.logical_and(deltareco_pixgrid >= x[level[0]],deltareco_pixgrid <= x[level[1]]) + ind2 = deltareco_pixgrid > x[level[1]] + inds = [np.count_nonzero(ind0),np.count_nonzero(ind1),np.count_nonzero(ind2)] + bgclass = inds.index(max(inds)) #background class + + match bgclass: + case 0: + deltareco_pixgrid_segmented[ind1] = 2 + deltareco_pixgrid_segmented[ind2] = 2 + case 1: + deltareco_pixgrid_segmented[ind0] = 1 + deltareco_pixgrid_segmented[ind2] = 2 + case 2: + deltareco_pixgrid_segmented[ind0] = 1 + deltareco_pixgrid_segmented[ind1] = 1 + + return deltareco_pixgrid_segmented + + +def scoring_function(truth, recon): + + truth_c = np.zeros((256,256)) + truth_c[truth == 2] = 1 + recon_c = np.zeros((256,256)) + recon_c[recon == 2] = 1 + s_c = ssim(truth_c, recon_c, data_range = 2.0, gaussian_weights = True, + K1 = 1*1e-4, K2 = 9*1e-4, sigma = 80.0, win_size = 255) + + truth_r = np.zeros((256,256)) + truth_r[truth == 1] = 1 + recon_r = np.zeros((256,256)) + recon_r[recon == 1] = 1 + s_r = ssim(truth_r, recon_r, data_range = 2.0, gaussian_weights = True, + K1 = 1*1e-4, K2 = 9*1e-4, sigma = 80.0, win_size = 255) + return 0.5*(s_c+s_r) + \ No newline at end of file diff --git a/EITLib/smprior_32_300.p b/EITLib/smprior_32_300.p new file mode 100644 index 0000000000000000000000000000000000000000..63f2a9055c7ecf4252d9188db40aedddcdc34d9b GIT binary patch literal 18837832 zcmeF)bx_uAw=Zz8P_Ymj6&nKsMNm;#(ufiQQYs}#NOyON(jtN&Eg(uMCN9Cm77+yl zTd_qHlk@DoXU~~AGw00Nd%y4VKJmT(fB}AStS@@>>S3aEz? z8b8v>)6vCu-fxFk&vW$L;$dgu=4RoW8b8R)&DzS@$=$=v)5_zwYsL5d_XB^szSE}v zI3y)iQy?-`NzgJiI(2R8OijTxzxrwlMy1*gjPJY2!`H?7-_Gh~vm`Y(=06VT9WS^% zRZB~2RnKp)fB&K>;E`$>tN4DtfWWSde|x=Dz;`%c4)8ue4j>1R1IPj70CE61fE+*$ 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