From a7d1504f305c9b3ce0bbee1a435ee5ffff34d4cf Mon Sep 17 00:00:00 2001 From: David Mayerich Date: Fri, 26 Apr 2019 11:40:08 -0500 Subject: [PATCH] added python prototype --- python prototype/00_GT.obj | 29 +++++++++++++++++++++++++++++ python prototype/00_T.obj | 50 ++++++++++++++++++++++++++++++++++++++++++++++++++ python prototype/01_GT.obj | 9 +++++++++ python prototype/01_T.obj | 18 ++++++++++++++++++ python prototype/02_GT.obj | 21 +++++++++++++++++++++ python prototype/02_T.obj | 22 ++++++++++++++++++++++ python prototype/03_GT.obj | 40 ++++++++++++++++++++++++++++++++++++++++ python prototype/03_T.obj | 16 ++++++++++++++++ python prototype/04_GT.obj | 6 ++++++ python prototype/04_Ta.obj | 3 +++ python prototype/04_Tb.obj | 7 +++++++ python prototype/h1_GT.obj | 8392 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python prototype/netmets.py | 193 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ python prototype/test.nwt | Bin 0 -> 164428 bytes python prototype/test.py | 8 ++++++++ 18 files changed, 67294 insertions(+), 0 deletions(-) create mode 100644 python prototype/00_GT.obj create mode 100644 python prototype/00_T.obj create mode 100644 python prototype/01_GT.obj create mode 100644 python prototype/01_T.obj create mode 100644 python prototype/02_GT.obj create mode 100644 python prototype/02_T.obj create mode 100644 python prototype/03_GT.obj create mode 100644 python prototype/03_T.obj create mode 100644 python prototype/04_GT.obj create mode 100644 python prototype/04_Ta.obj create mode 100644 python prototype/04_Tb.obj create mode 100644 python prototype/h1_GT.obj create mode 100644 python prototype/h1_T.obj create mode 100644 python prototype/h2_GT.obj create mode 100644 python prototype/h2_T.obj create mode 100644 python prototype/netmets.py create mode 100644 python prototype/test.nwt create mode 100644 python prototype/test.py diff --git a/python prototype/00_GT.obj b/python prototype/00_GT.obj new file mode 100644 index 0000000..0e66fe5 --- /dev/null +++ b/python prototype/00_GT.obj @@ -0,0 +1,29 @@ +v 99 677 0 +v 229 510 0 +v 57 347 0 +v 344 724 0 +v 581 361 0 +v 341 199 0 +v 757 377 0 +v 981 152 0 +v 793 508 0 +v 941 600 0 +v 647 738 0 +v 88 563 0 +v 181 372 0 +v 316 596 0 +v 385 425 0 +v 481 165 0 +v 574 223 0 +v 818 229 0 +v 679 601 0 +l 1 12 2 +l 3 13 2 +l 2 14 4 +l 2 15 5 +l 6 16 17 5 +l 5 7 +l 8 18 7 +l 7 9 +l 9 10 +l 9 19 11 diff --git a/python prototype/00_T.obj b/python prototype/00_T.obj new file mode 100644 index 0000000..3eee399 --- /dev/null +++ b/python prototype/00_T.obj @@ -0,0 +1,50 @@ +v 119 675 0 +v 343 730 0 +v 59 346 0 +v 577 361 0 +v 347 199 0 +v 756 375 0 +v 588 483 0 +v 789 514 0 +v 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34.5705 +vt 20.2484 +vt 10.7027 +vt 10.8556 +vt 11.0107 +vt 8.96587 +vt 9.86246 +vt 17.6 +vt 13.8286 +vt 15.2114 +vt 16.7326 +vt 16.2623 +vt 14.6361 +vt 18.1906 +vt 22.6083 +vt 15.4393 +vt 13.4542 +vt 12.4932 +vt 10.8869 +vt 10.7314 +vt 9.04505 +vt 10.208 +vt 9.7705 +vt 9.91008 +vt 10.6179 +vt 14.9129 +vt 12.1434 +vt 11.9699 +vt 11.4569 +vt 10.9659 +vt 11.1225 +vt 10.3281 +vt 10.4756 +vt 10.6253 +vt 9.86633 +vt 10.2892 +vt 10.1422 +vt 9.9973 +vt 10.7114 + +#line structures +l 1\1 2\2 3\3 +l 4\4 5\5 6\6 7\7 8\8 9\9 10\10 11\11 12\12 13\13 14\14 15\15 16\16 17\17 18\18 19\19 20\20 21\21 22\22 23\23 24\24 25\25 26\26 27\27 +l 28\28 29\29 30\30 31\31 32\32 33\33 34\34 +l 35\35 36\36 37\37 38\38 39\39 40\40 41\41 42\42 43\43 44\44 45\45 46\46 47\47 48\48 49\49 50\50 51\51 52\52 53\53 54\54 55\55 56\56 +l 57\57 58\58 59\59 60\60 61\61 62\62 63\63 +l 64\64 65\65 66\66 67\67 68\68 69\69 +l 70\70 71\71 72\72 73\73 74\74 75\75 76\76 +l 77\77 78\78 79\79 80\80 81\81 82\82 83\83 84\84 85\85 86\86 87\87 88\88 89\89 90\90 91\91 92\92 93\93 94\94 95\95 96\96 97\97 98\98 99\99 +l 100\100 101\101 102\102 103\103 104\104 105\105 106\106 107\107 108\108 109\109 110\110 111\111 112\112 113\113 114\114 +l 115\115 116\116 117\117 118\118 +l 119\119 120\120 121\121 122\122 123\123 124\124 125\125 126\126 127\127 128\128 +l 129\129 130\130 131\131 132\132 133\133 134\134 135\135 +l 136\136 137\137 138\138 139\139 140\140 141\141 142\142 143\143 144\144 145\145 146\146 147\147 148\148 149\149 150\150 151\151 152\152 153\153 154\154 155\155 156\156 157\157 158\158 159\159 160\160 +l 161\161 162\162 163\163 +l 164\164 165\165 166\166 167\167 168\168 169\169 +l 170\170 171\171 172\172 173\173 174\174 175\175 176\176 177\177 178\178 179\179 180\180 181\181 182\182 183\183 184\184 185\185 186\186 187\187 +l 188\188 189\189 190\190 191\191 192\192 193\193 194\194 195\195 196\196 197\197 198\198 199\199 200\200 201\201 202\202 203\203 204\204 205\205 206\206 207\207 208\208 209\209 +l 210\210 211\211 212\212 213\213 214\214 +l 215\215 216\216 217\217 218\218 219\219 220\220 221\221 222\222 223\223 224\224 225\225 226\226 227\227 228\228 229\229 230\230 231\231 232\232 233\233 234\234 235\235 236\236 237\237 238\238 239\239 240\240 241\241 242\242 +l 243\243 244\244 245\245 246\246 247\247 248\248 249\249 250\250 251\251 252\252 +l 253\253 254\254 255\255 256\256 257\257 258\258 259\259 260\260 261\261 262\262 263\263 264\264 265\265 266\266 267\267 268\268 269\269 +l 270\270 271\271 272\272 273\273 +l 274\274 275\275 276\276 277\277 278\278 279\279 280\280 281\281 282\282 283\283 +l 284\284 285\285 +l 286\286 287\287 288\288 +l 289\289 290\290 291\291 292\292 293\293 294\294 295\295 296\296 297\297 298\298 +l 299\299 300\300 301\301 302\302 303\303 304\304 305\305 306\306 307\307 308\308 309\309 310\310 311\311 312\312 313\313 314\314 315\315 316\316 317\317 318\318 319\319 320\320 321\321 322\322 323\323 324\324 325\325 326\326 327\327 328\328 329\329 330\330 331\331 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65\65 66\66 67\67 68\68 +l 69\69 70\70 71\71 72\72 73\73 74\74 75\75 76\76 77\77 78\78 79\79 80\80 81\81 82\82 83\83 84\84 85\85 86\86 87\87 88\88 89\89 90\90 91\91 92\92 93\93 94\94 95\95 96\96 +l 97\97 98\98 99\99 +l 100\100 101\101 102\102 103\103 104\104 105\105 106\106 107\107 108\108 109\109 110\110 111\111 112\112 113\113 114\114 115\115 116\116 117\117 118\118 119\119 +l 120\120 121\121 122\122 123\123 124\124 125\125 126\126 127\127 128\128 129\129 130\130 131\131 132\132 133\133 134\134 135\135 +l 136\136 137\137 138\138 139\139 140\140 141\141 142\142 143\143 144\144 145\145 146\146 147\147 148\148 149\149 150\150 151\151 152\152 153\153 154\154 155\155 156\156 157\157 158\158 159\159 +l 160\160 161\161 162\162 163\163 164\164 165\165 166\166 167\167 168\168 169\169 170\170 171\171 172\172 +l 173\173 174\174 175\175 176\176 177\177 178\178 +l 179\179 180\180 181\181 182\182 183\183 184\184 185\185 186\186 187\187 188\188 189\189 190\190 191\191 192\192 193\193 194\194 195\195 196\196 197\197 198\198 199\199 200\200 201\201 202\202 203\203 204\204 205\205 206\206 207\207 208\208 209\209 210\210 211\211 212\212 213\213 214\214 215\215 +l 216\216 217\217 218\218 219\219 220\220 221\221 222\222 223\223 224\224 225\225 226\226 227\227 228\228 229\229 230\230 231\231 232\232 233\233 234\234 235\235 236\236 237\237 238\238 239\239 240\240 +l 241\241 242\242 243\243 244\244 245\245 246\246 247\247 248\248 249\249 250\250 251\251 252\252 253\253 254\254 255\255 256\256 257\257 258\258 259\259 260\260 261\261 262\262 263\263 +l 264\264 265\265 266\266 267\267 +l 268\268 269\269 270\270 271\271 272\272 273\273 274\274 275\275 +l 276\276 277\277 278\278 279\279 +l 280\280 281\281 282\282 283\283 284\284 285\285 286\286 287\287 288\288 +l 289\289 290\290 291\291 292\292 293\293 294\294 295\295 +l 296\296 297\297 298\298 299\299 300\300 301\301 302\302 303\303 304\304 305\305 306\306 307\307 308\308 309\309 310\310 311\311 312\312 313\313 314\314 315\315 316\316 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438\438 439\439 440\440 441\441 442\442 443\443 444\444 445\445 446\446 447\447 448\448 449\449 +l 450\450 451\451 452\452 453\453 454\454 455\455 456\456 +l 457\457 458\458 +l 459\459 460\460 461\461 +l 462\462 463\463 464\464 465\465 +l 466\466 467\467 +l 468\468 469\469 470\470 +l 471\471 472\472 473\473 474\474 475\475 476\476 477\477 478\478 479\479 480\480 481\481 482\482 483\483 484\484 485\485 +l 486\486 487\487 488\488 489\489 490\490 491\491 492\492 493\493 494\494 495\495 496\496 497\497 498\498 499\499 +l 500\500 501\501 +l 502\502 503\503 504\504 505\505 506\506 507\507 508\508 509\509 510\510 511\511 512\512 513\513 514\514 515\515 516\516 517\517 518\518 519\519 520\520 521\521 522\522 523\523 +l 524\524 525\525 526\526 527\527 528\528 529\529 530\530 531\531 532\532 533\533 534\534 535\535 536\536 537\537 538\538 539\539 540\540 541\541 542\542 543\543 544\544 +l 545\545 546\546 547\547 548\548 549\549 550\550 551\551 552\552 553\553 554\554 555\555 556\556 557\557 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12120\12120 12121\12121 12122\12122 12123\12123 12124\12124 12125\12125 12126\12126 +l 12127\12127 12128\12128 12129\12129 12130\12130 12131\12131 +l 12132\12132 12133\12133 12134\12134 12135\12135 diff --git a/python prototype/netmets.py b/python prototype/netmets.py new file mode 100644 index 0000000..6f82645 --- /dev/null +++ b/python prototype/netmets.py @@ -0,0 +1,193 @@ + +import struct +import numpy as np +import os +import math +import scipy as sp +import scipy.spatial +import scipy.signal +import matplotlib.pyplot as plt + +class vertex: + def __init__(self, x, y, z, e_out, e_in): + self.p = np.array([x, y, z]) + self.Eout = e_out + self.Ein = e_in + +class edge: + def __init__(self, v0, v1, p): + self.v = (v0, v1) + self.p = p + +class linesegment: + def __init__(self, p0, p1): + self.p = (p0, p1) + + #return a set of points sampling the line segment at the specified spacing + def pointcloud(self, spacing): + v = self.p[1] - self.p[0] + l = math.sqrt(v[0] ** 2 + v[1] ** 2 + v[2] ** 2) + n = int(np.ceil(l / spacing)) + if n == 0: + return [self.p[0], self.p[1]] + + pc = [] + for i in range(n+1): + pc.append(self.p[0] + v * (i/n)) + return pc + +class NWT: + def __init__(self, filename): + [_, fext] = os.path.splitext(filename) #get the file extension so that we know the file type + if fext == ".nwt": #if the file extension is NWT + self.load_nwt(filename) #load a NWT file + elif fext == ".obj": #if the file extension is OBJ + self.load_obj(filename) #load an OBJ file + else: #otherwise raise an exception + raise ValueError("file type is unsupported as a network") + + def load_nwt(self, filename): + fid = open(filename, "rb") #open a binary file for reading + self.header = fid.read(14).decode("utf-8") #load the header + self.desc = fid.read(58).decode("utf-8") #load the description + nv = struct.unpack("I", fid.read(4))[0] #load the number of vertices and edges + ne = struct.unpack("I", fid.read(4))[0] + + self.v = [] #create an empty list to store the vertices + for _ in range(nv): #iterate across all vertices + p = np.fromfile(fid, np.float32, 3) #read the vertex position + E = np.fromfile(fid, np.uint32, 2) #read the number of edges + e_out = np.fromfile(fid, np.uint32, E[0]) #read the indices of the outgoing edges + e_in = np.fromfile(fid, np.uint32, E[1]) #read the indices of the incoming edges + v = vertex(p[0], p[1], p[2], e_out, e_in) #create a vertex + self.v.append(v) + + self.e = [] #create an empty array to store the edges + for _ in range(ne): #iterate over all edges + v = np.fromfile(fid, np.uint32, 2) #load the vertex indices that this edge connects + npts = struct.unpack("I", fid.read(4))[0] #read the number of points defining this edge + pv = np.fromfile(fid, np.float32, 4*npts) #read the array of points + p = [(pv[i],pv[i+1]) for i in range(0,npts,2)] #conver the point values to an array of 4-element tuples + self.e.append(edge(v[0], v[1], p)) #create and append the edge to the edge list + + def load_obj(self, filename): + fid = open(filename, "r") #open the file for reading + vertices = [] #create an array of vertices + lines = [] #create an array of lines + for line in fid: #for each line in the file + elements = line.split(" ") #split it into token elements + if elements[0] == "v": #if the element is a vertex + c = [float(i) for i in elements[1:]] #get the point coordinates + vertices.append(c) #add the coordinates to the vertex list + if elements[0] == "l": #if the element is a line + idx = [int(i) for i in elements[1:]] #get the indices for the points that make up the line + lines.append(idx) #add this line to the line list + + self.header = "nwtfileformat " #assign a header and description + self.desc = "File generated from OBJ" + #insert the first and last vertex ID for each line into a set + vertex_set = set() #create an empty set + for line in lines: #for each line in the list of lines + vertex_set.add(line[0]) #add the first and last vertex to the vertex set (this will remove redundancies) + vertex_set.add(line[-1]) + + obj2nwt = dict() #create a new dictionary - will be used to map vertex IDs in the OBJ to IDs in the NWT object + + #create a mapping between OBJ vertex indices and NWT vertex indices + vi = 0 #initialize a vertex counter to zero + for si in vertex_set: #for each vertex in the set of vertices + obj2nwt[si] = vi #assign the mapping + vi = vi + 1 #increment the vertex counter + + #iterate through each line (edge), assigning them to their starting and ending vertices + v_out = [list() for _ in range(len(vertex_set))] #create an array of empty lists storing the inlet and outlet edges for each vertex + v_in = [list() for _ in range(len(vertex_set))] + + self.e = [] #create an empty list storing the NWT vertex IDs for each edge (inlet and outlet) + for li in range(len(lines)): #for each line + v0 = obj2nwt[lines[li][0]] #get the NWT index for the starting and ending points (vertices) + v1 = obj2nwt[lines[li][-1]] + + v_out[v0].append(li) #add the line index to a list of inlet edges + v_in[v1].append(li) #add the line index to a list of outlet edges + + p = [] #create an emptu array of points used to store point positions in the NWT graph + for pi in range(1, len(lines[li]) - 1): #for each point in the line that is not an end point (vertex) + p.append(np.array(vertices[lines[li][pi]-1])) #add the coordinates for that point as a tuple into the point list + self.e.append(edge(v0, v1, p)) #create an edge, specifying the inlet and outlet vertices and all defining points + + #for each vertex in the set, create a NWT vertex containing all of the necessary edge information + self.v = [] #create an empty list to store the vertices + for s in vertex_set: #for each OBJ vertex in the vertex set + vi = obj2nwt[s] #calculate the corresponding NWT index + self.v.append(vertex(vertices[s-1][0], vertices[s-1][1], vertices[s-1][2], v_out[vi], v_in[vi])) #create a vertex object, consisting of a position and attached edges + + #return a set of line segments connecting all points in the network + def linesegments(self): + + s = [] #create an empty list of line segments + for e in self.e: #for each edge in the graph + p0 = self.v[e.v[0]].p #load the first point (from the starting vertex) + + for p in e.p: #for each point in the edge + p1 = np.array([p[0], p[1], p[2]]) #get the second point for the line segment + s.append(linesegment(p0, p1)) #append the line segment to the list of line segments + p0 = p1 #update the start point for the next segment to the end point of this one + + p1 = self.v[e.v[1]].p #load the last point (from the ending vertex) + s.append(linesegment(p0, p1)) #append the last line segment for this edge to the list + return s + + #return a point cloud sampling the centerline of the network at the given spacing + def pointcloud(self, spacing): + ls = self.linesegments() + pc = [] + for l in ls: + pc = pc + l.pointcloud(spacing) + return pc + +def gaussian(X, sigma): + return np.exp(-0.5 * (X ** 2 / sigma ** 2)) + +#set the input parameters +sigma = 10 +GTfile = "04_GT.obj" +Tfile = "04_Ta.obj" + +#tunable constants +subdiv = 4 #fraction of sigma used to sample each network +shadow = 10 #thickness of the shadow network when displaying geometric results + +#load the ground truth and test case networks +GT = NWT(GTfile) +T = NWT(Tfile) + +#generate point clouds representing both networks +P_T = np.array(T.pointcloud(sigma/subdiv)) +P_GT = np.array(GT.pointcloud(sigma/subdiv)) + +#generate KD trees for each network +GT_tree = sp.spatial.cKDTree(P_GT) +T_tree = sp.spatial.cKDTree(P_T) + +#query each KD tree to get the corresponding geometric distances +[T_dist, _] = GT_tree.query(P_T) +[GT_dist, _] = T_tree.query(P_GT) + +#convert distances to Gaussian metrics +T_metric = gaussian(T_dist, sigma) +GT_metric = gaussian(GT_dist, sigma) + +#calculate the TPR and FPR +print("FNR = " + str(1 - np.mean(GT_metric))) +print("FPR = " + str(1 - np.mean(T_metric))) + +plt.subplot(1, 2, 1) +plt.scatter(P_GT[:, 0], P_GT[:, 1], s=sigma*shadow, c="grey") +plt.scatter(P_T[:, 0], P_T[:, 1], s=sigma, c=T_metric, cmap = "plasma") + +plt.subplot(1, 2, 2) +plt.scatter(P_T[:, 0], P_T[:, 1], s=sigma*shadow, c="grey") +plt.scatter(P_GT[:, 0], P_GT[:, 1], s=sigma, c=GT_metric, cmap = "plasma") + + diff --git a/python prototype/test.nwt b/python prototype/test.nwt new file mode 100644 index 0000000..8f21d65 Binary files /dev/null and b/python prototype/test.nwt differ diff --git a/python prototype/test.py b/python prototype/test.py new file mode 100644 index 0000000..84f04fa --- /dev/null +++ b/python prototype/test.py @@ -0,0 +1,8 @@ +N = 10 + +m = 31 +a = 4 +x = 3 +for i in range(N): + x = (a * x) % m + print(x) \ No newline at end of file -- libgit2 0.21.4