I have points scattered in 3D and they are irregularly sampled and are not sequenced in monotonic order. When I try simply to draw curve using plot3 i have messed up crossings from points across. Is there anyway to find smooth curve that only pass through nearest points? if not how can I approximate?
for example d =
0.0071 -0.0515 0.0202 0.0095 -0.0512 0.0200 -0.0175 0.0438 0.0297 -0.0149 0.0453 0.0289 0.0322 -0.0313 0.0331 0.0336 -0.0289 0.0338 -0.0268 -0.0316 0.0372 -0.0289 -0.0301 0.0370 0.0413 -0.0029 0.0374 0.0413 -0.0018 0.0374 0.0041 -0.0516 0.0206 0.0044 -0.0516 0.0206 -0.0396 0.0051 0.0388 -0.0398 0.0030 0.0389 -0.0284 0.0405 0.0257 -0.0300 0.0395 0.0254 -0.0395 0.0108 0.0378 -0.0398 0.0088 0.0380 0.0417 -0.0086 0.0360 0.0410 -0.0105 0.0363 0.0370 -0.0204 0.0364 0.0370 -0.0202 0.0365 -0.0010 -0.0516 0.0210 -0.0028 -0.0514 0.0214 0.0181 -0.0487 0.0202 0.0177 -0.0489 0.0201 -0.0079 -0.0493 0.0247 -0.0064 -0.0503 0.0232 -0.0396 0.0051 0.0388 -0.0396 0.0059 0.0388 -0.0399 -0.0090 0.0379 -0.0401 -0.0085 0.0378 -0.0356 -0.0193 0.0383 -0.0352 -0.0201 0.0383 -0.0390 -0.0114 0.0382 -0.0399 -0.0090 0.0379 -0.0401 -0.0085 0.0378 -0.0404 -0.0071 0.0378 -0.0370 0.0228 0.0350 -0.0370 0.0231 0.0348 -0.0300 0.0395 0.0254 -0.0311 0.0386 0.0254 -0.0344 0.0312 0.0308 -0.0343 0.0314 0.0307 -0.0365 0.0252 0.0338 -0.0364 0.0259 0.0333 -0.0353 0.0287 0.0322 -0.0361 0.0269 0.0328 -0.0343 0.0314 0.0307 -0.0342 0.0319 0.0304 -0.0147 0.0454 0.0288 -0.0149 0.0453 0.0289 -0.0119 0.0467 0.0281 -0.0145 0.0455 0.0288 -0.0099 0.0473 0.0278 -0.0092 0.0475 0.0277 0.0022 0.0483 0.0277 0.0047 0.0483 0.0275 -0.0064 0.0481 0.0275 -0.0038 0.0482 0.0278 -0.0036 0.0482 0.0278 -0.0038 0.0482 0.0278 0.0327 0.0351 0.0285 0.0332 0.0342 0.0289 0.0192 0.0410 0.0325 0.0176 0.0416 0.0326 0.0176 0.0416 0.0326 0.0163 0.0422 0.0326 0.0249 0.0373 0.0331 0.0249 0.0373 0.0331 0.0376 0.0259 0.0320 0.0380 0.0248 0.0324 0.0361 0.0287 0.0314 0.0376 0.0259 0.0320 0.0337 0.0333 0.0292 0.0332 0.0342 0.0289 0.0388 0.0231 0.0328 0.0388 0.0227 0.0330 0.0393 0.0202 0.0340 0.0393 0.0202 0.0340 0.0414 0.0013 0.0373 0.0415 0.0029 0.0371 0.0414 -0.0042 0.0370 0.0413 -0.0029 0.0374 0.0395 0.0145 0.0365 0.0392 0.0168 0.0359 0.0247 -0.0438 0.0240 0.0256 -0.0426 0.0251 0.0099 -0.0511 0.0199 0.0099 -0.0511 0.0200 0.0185 -0.0485 0.0203 0.0181 -0.0487 0.0202 0.0265 -0.0415 0.0262 0.0256 -0.0426 0.0251 0.0305 -0.0342 0.0317 0.0306 -0.0340 0.0319 -0.0222 -0.0371 0.0352 -0.0232 -0.0356 0.0361 -0.0340 -0.0230 0.0378 -0.0335 -0.0241 0.0374 -0.0352 -0.0201 0.0383 -0.0347 -0.0214 0.0380 -0.0335 -0.0241 0.0374 -0.0327 -0.0258 0.0370 -0.0307 -0.0286 0.0367 -0.0318 -0.0273 0.0368 -0.0289 -0.0301 0.0370 -0.0307 -0.0286 0.0367 -0.0327 -0.0258 0.0370 -0.0318 -0.0273 0.0368 -0.0261 -0.0323 0.0373 -0.0241 -0.0345 0.0366 -0.0268 -0.0316 0.0372 -0.0261 -0.0323 0.0373 -0.0211 -0.0389 0.0338 -0.0208 -0.0396 0.0332 -0.0174 -0.0427 0.0313 -0.0155 -0.0440 0.0305 -0.0118 -0.0464 0.0285 -0.0109 -0.0471 0.0276 -0.0222 -0.0371 0.0352 -0.0211 -0.0389 0.0338 -0.0241 -0.0345 0.0366 -0.0232 -0.0356 0.0361 -0.0203 -0.0403 0.0328 -0.0208 -0.0396 0.0332 -0.0174 -0.0427 0.0313 -0.0182 -0.0422 0.0315 -0.0182 -0.0422 0.0315 -0.0203 -0.0403 0.0328 -0.0146 -0.0446 0.0301 -0.0144 -0.0448 0.0300 -0.0109 -0.0471 0.0276 -0.0091 -0.0485 0.0259 -0.0079 -0.0493 0.0247 -0.0091 -0.0485 0.0259 -0.0064 -0.0503 0.0232 -0.0040 -0.0512 0.0217 -0.0028 -0.0514 0.0214 -0.0037 -0.0513 0.0215 -0.0037 -0.0513 0.0215 -0.0040 -0.0512 0.0217 -0.0144 -0.0448 0.0300 -0.0118 -0.0464 0.0285 -0.0155 -0.0440 0.0305 -0.0146 -0.0446 0.0301 -0.0407 -0.0052 0.0377 -0.0407 -0.0027 0.0380 -0.0356 -0.0193 0.0383 -0.0364 -0.0173 0.0385 -0.0340 -0.0230 0.0378 -0.0347 -0.0214 0.0380 -0.0379 -0.0143 0.0383 -0.0381 -0.0138 0.0383 -0.0404 -0.0071 0.0378 -0.0407 -0.0056 0.0377 -0.0381 -0.0138 0.0383 -0.0390 -0.0114 0.0382 -0.0364 -0.0173 0.0385 -0.0375 -0.0151 0.0384 -0.0379 -0.0143 0.0383 -0.0375 -0.0151 0.0384 -0.0407 -0.0027 0.0380 -0.0408 -0.0023 0.0380 -0.0407 -0.0056 0.0377 -0.0407 -0.0052 0.0377 -0.0408 -0.0023 0.0380 -0.0406 0.0001 0.0382 -0.0406 0.0003 0.0382 -0.0406 0.0001 0.0382 -0.0406 0.0003 0.0382 -0.0404 0.0011 0.0384 -0.0404 0.0011 0.0384 -0.0398 0.0030 0.0389 -0.0398 0.0083 0.0381 -0.0396 0.0059 0.0388 -0.0382 0.0145 0.0379 -0.0380 0.0151 0.0379 -0.0376 0.0176 0.0373 -0.0376 0.0174 0.0373 -0.0376 0.0174 0.0373 -0.0380 0.0151 0.0379 -0.0382 0.0145 0.0379 -0.0387 0.0132 0.0378 -0.0387 0.0132 0.0378 -0.0393 0.0117 0.0377 -0.0398 0.0088 0.0380 -0.0398 0.0083 0.0381 -0.0395 0.0108 0.0378 -0.0393 0.0117 0.0377 -0.0374 0.0191 0.0367 -0.0376 0.0176 0.0373 -0.0372 0.0201 0.0363 -0.0374 0.0191 0.0367 -0.0370 0.0231 0.0348 -0.0365 0.0252 0.0338 -0.0372 0.0203 0.0362 -0.0372 0.0201 0.0363 -0.0364 0.0259 0.0333 -0.0361 0.0269 0.0328 -0.0334 0.0341 0.0287 -0.0329 0.0352 0.0279 -0.0334 0.0341 0.0287 -0.0342 0.0319 0.0304 -0.0344 0.0312 0.0308 -0.0353 0.0287 0.0322 -0.0372 0.0203 0.0362 -0.0370 0.0228 0.0350 -0.0257 0.0412 0.0274 -0.0270 0.0409 0.0265 -0.0324 0.0368 0.0265 -0.0329 0.0352 0.0279 -0.0311 0.0386 0.0254 -0.0324 0.0368 0.0265 -0.0270 0.0409 0.0265 -0.0284 0.0405 0.0257 -0.0257 0.0412 0.0274 -0.0246 0.0413 0.0282 -0.0202 0.0425 0.0299 -0.0201 0.0426 0.0298 -0.0230 0.0418 0.0289 -0.0246 0.0413 0.0282 -0.0230 0.0418 0.0289 -0.0223 0.0418 0.0293 -0.0175 0.0438 0.0297 -0.0201 0.0426 0.0298 -0.0223 0.0418 0.0293 -0.0202 0.0425 0.0298 -0.0202 0.0425 0.0298 -0.0202 0.0425 0.0299 -0.0092 0.0475 0.0277 -0.0070 0.0480 0.0275 -0.0145 0.0455 0.0288 -0.0147 0.0454 0.0288 -0.0009 0.0482 0.0280 -0.0011 0.0482 0.0280 -0.0009 0.0482 0.0280 0.0016 0.0483 0.0277 -0.0064 0.0481 0.0275 -0.0070 0.0480 0.0275 -0.0119 0.0467 0.0281 -0.0099 0.0473 0.0278 -0.0011 0.0482 0.0280 -0.0036 0.0482 0.0278 0.0275 0.0370 0.0314 0.0249 0.0373 0.0331 0.0206 0.0401 0.0328 0.0221 0.0389 0.0333 0.0249 0.0373 0.0331 0.0231 0.0383 0.0333 0.0192 0.0410 0.0325 0.0206 0.0401 0.0328 0.0144 0.0429 0.0326 0.0163 0.0422 0.0326 0.0138 0.0432 0.0325 0.0135 0.0433 0.0324 0.0022 0.0483 0.0277 0.0019 0.0483 0.0277 0.0103 0.0455 0.0305 0.0105 0.0453 0.0307 0.0075 0.0476 0.0280 0.0060 0.0480 0.0277 0.0103 0.0455 0.0305 0.0075 0.0476 0.0280 0.0120 0.0442 0.0318 0.0105 0.0453 0.0307 0.0060 0.0480 0.0277 0.0047 0.0483 0.0275 0.0016 0.0483 0.0277 0.0019 0.0483 0.0277 0.0138 0.0432 0.0325 0.0144 0.0429 0.0326 0.0120 0.0442 0.0318 0.0135 0.0433 0.0324 0.0249 0.0373 0.0331 0.0249 0.0373 0.0331 0.0337 0.0333 0.0292 0.0347 0.0315 0.0302 0.0299 0.0370 0.0290 0.0299 0.0370 0.0290 0.0299 0.0370 0.0290 0.0275 0.0370 0.0314 0.0299 0.0370 0.0290 0.0300 0.0370 0.0290 0.0300 0.0370 0.0290 0.0327 0.0351 0.0285 0.0231 0.0383 0.0333 0.0221 0.0389 0.0333 0.0388 0.0227 0.0330 0.0393 0.0202 0.0340 0.0360 0.0288 0.0314 0.0360 0.0287 0.0314 0.0347 0.0315 0.0302 0.0351 0.0307 0.0306 0.0388 0.0231 0.0328 0.0380 0.0248 0.0324 0.0360 0.0287 0.0314 0.0361 0.0287 0.0314 0.0351 0.0307 0.0306 0.0360 0.0288 0.0314 0.0392 0.0174 0.0356 0.0393 0.0202 0.0340 0.0392 0.0174 0.0356 0.0392 0.0168 0.0359 0.0395 0.0145 0.0365 0.0396 0.0142 0.0366 0.0415 0.0044 0.0369 0.0415 0.0029 0.0371 0.0409 0.0087 0.0369 0.0400 0.0115 0.0371 0.0396 0.0142 0.0366 0.0400 0.0116 0.0371 0.0415 0.0058 0.0368 0.0412 0.0070 0.0369 0.0400 0.0116 0.0371 0.0400 0.0115 0.0371 0.0415 0.0058 0.0368 0.0415 0.0044 0.0369 0.0409 0.0087 0.0369 0.0412 0.0070 0.0369 0.0417 -0.0074 0.0362 0.0416 -0.0057 0.0367 0.0412 0.0000 0.0375 0.0413 -0.0018 0.0374 0.0373 -0.0189 0.0369 0.0376 -0.0174 0.0373 0.0376 -0.0174 0.0373 0.0378 -0.0169 0.0373 0.0407 -0.0115 0.0363 0.0401 -0.0125 0.0366 0.0389 -0.0145 0.0372 0.0378 -0.0169 0.0373 0.0401 -0.0125 0.0366 0.0389 -0.0145 0.0372 0.0410 -0.0105 0.0363 0.0407 -0.0115 0.0363 0.0417 -0.0074 0.0362 0.0417 -0.0086 0.0360 0.0373 -0.0189 0.0369 0.0370 -0.0202 0.0365 0.0361 -0.0239 0.0351 0.0364 -0.0230 0.0354 0.0338 -0.0285 0.0339 0.0340 -0.0282 0.0340 0.0364 -0.0230 0.0354 0.0370 -0.0204 0.0364 0.0336 -0.0289 0.0338 0.0338 -0.0285 0.0339 0.0353 -0.0258 0.0346 0.0361 -0.0239 0.0351 0.0416 -0.0057 0.0367 0.0414 -0.0042 0.0370 0.0414 0.0013 0.0373 0.0412 0.0000 0.0375 0.0209 -0.0472 0.0210 0.0223 -0.0461 0.0219 0.0209 -0.0472 0.0210 0.0185 -0.0485 0.0203 0.0071 -0.0515 0.0202 0.0068 -0.0515 0.0202 0.0099 -0.0511 0.0200 0.0095 -0.0512 0.0200 0.0013 -0.0517 0.0208 -0.0010 -0.0516 0.0210 0.0013 -0.0517 0.0208 0.0017 -0.0517 0.0207 0.0041 -0.0516 0.0206 0.0017 -0.0517 0.0207 0.0068 -0.0515 0.0202 0.0044 -0.0516 0.0206 0.0177 -0.0489 0.0201 0.0153 -0.0498 0.0199 0.0133 -0.0504 0.0197 0.0153 -0.0498 0.0199 0.0099 -0.0511 0.0199 0.0126 -0.0506 0.0197 0.0126 -0.0506 0.0197 0.0133 -0.0504 0.0197 0.0240 -0.0445 0.0235 0.0223 -0.0461 0.0219 0.0274 -0.0398 0.0278 0.0265 -0.0415 0.0262 0.0306 -0.0340 0.0319 0.0308 -0.0337 0.0320 0.0293 -0.0365 0.0302 0.0305 -0.0342 0.0317 0.0293 -0.0365 0.0302 0.0283 -0.0384 0.0288 0.0240 -0.0445 0.0235 0.0247 -0.0438 0.0240 0.0279 -0.0390 0.0284 0.0283 -0.0384 0.0288 0.0340 -0.0282 0.0340 0.0353 -0.0258 0.0346 0.0308 -0.0337 0.0320 0.0322 -0.0313 0.0331 0.0274 -0.0398 0.0278 0.0279 -0.0390 0.0284
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