findMats fails in find-and-add-3-prongs.js
Closed this issue · 16 comments
koldat commented
Version: floMat 2.0.3
I am trying to findMats on complicated path with different results. I know I can try to split paths, but still would be nice to have robust tool. Code is simple:
let bezierLoops = getPathsFromStr(path);
let mats = findMats(bezierLoops, maxCurviness, maxLength);
-
findMats(bezierLoops, 3, 100) - This one pass, but there is one issue in calculated MAT (bezier go out of polygon). Interesting is that when I calculate just on that polygon result looks ok with same (3, 100).
-
findMats(bezierLoops) or findMats(bezierLoops, 0.5, 100) - Error
file:///C:/workspace/matcli/node_modules/flo-mat/node/mat/find-mat/find-and-add-3-prongs.js:131
calcPosOrder(threeProng.circle, threeProng.ps[i]));
^
TypeError: Cannot read properties of undefined (reading 'circle')
at findAndAdd3Prong (file:///C:/workspace/matcli/node_modules/flo-mat/node/mat/find-mat/find-and-add-3-prongs.js:131:33)
at findAndAdd3Prongs (file:///C:/workspace/matcli/node_modules/flo-mat/node/mat/find-mat/find-and-add-3-prongs.js:102:13)
at findAndAddAll3Prongs (file:///C:/workspace/matcli/node_modules/flo-mat/node/mat/find-mat/find-and-add-3-prongs.js:23:21)
at findMat (file:///C:/workspace/matcli/node_modules/flo-mat/node/find-mats.js:112:5)
at findMats (file:///C:/workspace/matcli/node_modules/flo-mat/node/find-mats.js:43:21)
It happens because of this:
const vectorToZeroV = calcVectorToZeroV_StraightToIt(x, circumCenter_);
if (!Number.isFinite(vectorToZeroV[0]) || !Number.isFinite(vectorToZeroV[1])) {
// TODO - the code can be cleaned up and sped up a lot if we don't
// use this function as is but instead use δs[0] and δs[2] as is
// and make δs[1] include all the rest of the beziers around the
// loop. This check, for instance, would be eliminated completely.
return undefined; <-- HERE it go
}
- findMats(bezierLoops, 1, 50) - This takes very long time and ends JavaScript heap out of memory (I tried even 6GB)
koldat commented
path is
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178.319,255.787 181.068,256.500 184.993 C 258.584 184.978,260.660 184.880,262.724 184.720 C 261.878 183.403,260.565 181.371,259.299 179.464 C 261.381 180.866,263.261 182.707,265.032 184.513 C 265.721 184.443,266.407 184.368,267.092 184.284 C 264.995 181.438,261.770 178.207,257.666 176.871 C 257.687 176.904,260.150 176.321,264.285 178.928 C 265.871 179.866,267.739 181.803,269.440 183.966 C 271.818 183.615,274.168 183.186,276.478 182.689 C 289.327 180.032,300.841 173.689,309.330 165.209 C 317.877 156.768,323.391 146.319,325.588 136.050 C 327.877 125.754,326.783 115.785,324.101 107.591 C 319.719 94.484,311.759 86.268,305.315 81.785 C 307.784 83.464,310.950 86.006,314.370 89.929 C 321.654 98.331,329.781 114.617,326.132 134.579 C 322.855 154.164,305.998 175.159,281.079 181.873 C 277.380 182.872,273.567 183.685,269.679 184.273 C 270.019 184.715,270.353 185.163,270.674 185.614 C 272.502 187.905,274.556 190.758,276.547 193.002 C 276.533 192.985,275.655 193.708,273.535 193.598 C 271.473 193.354,267.933 192.109,263.601 186.087 C 263.598 186.082,263.315 185.640,262.935 185.047 C 260.823 185.214,258.696 185.310,256.557 185.325 C 256.732 186.371,256.844 187.493,256.851 188.665 C 257.039 195.294,258.109 203.342,257.458 209.013 C 257.527 209.056,254.642 205.518,253.132 200.200 C 252.349 197.553,251.760 194.471,251.681 191.225 C 251.646 188.937,251.954 187.251,252.144 185.243 C 248.753 185.089,245.346 184.727,241.945 184.126 C 230.757 182.299,220.081 176.589,212.140 168.061 C 205.202 169.879,197.588 171.929,189.672 172.506 C 186.274 172.887,182.808 172.939,179.354 172.692 C 181.058 179.628,181.058 189.298,175.755 198.876 C 172.555 204.606,167.620 210.101,161.045 213.988 C 154.509 217.940,146.422 219.910,138.054 220.309 C 137.519 220.338,136.985 220.354,136.450 220.359 Z M 305.315 81.785 C 305.072 81.620,304.800 81.418,304.572 81.270 C 304.815 81.432,305.067 81.613,305.315 81.785 Z M 304.572 81.270 C 304.514 81.232,304.461 81.201,304.404 81.163 C 304.462 81.200,304.513 81.232,304.572 81.270 Z M 304.404 81.163 C 301.925 79.576,300.385 78.998,300.479 78.915 C 301.657 79.482,302.988 80.234,304.404 81.163 Z M 235.883 103.683 C 235.885 103.671,235.887 103.656,235.889 103.643 C 235.887 103.657,235.885 103.670,235.883 103.683 Z M 235.889 103.643 C 235.949 103.256,235.983 102.918,236.021 102.571 C 235.996 102.835,235.952 103.196,235.889 103.643 Z M 236.021 102.571 C 236.056 102.215,236.070 102.012,236.089 102.021 C 236.074 102.188,236.041 102.392,236.021 102.571 Z M 92.715 25.914 C 92.700 25.917,92.694 25.915,92.708 25.900 C 92.710 25.905,92.713 25.909,92.715 25.914 Z M 23.903 91.846 C 23.921 91.868,23.932 91.884,23.929 91.886 C 23.920 91.872,23.912 91.859,23.903 91.846 Z M 54.938 60.114 C 54.943 60.125,54.945 60.131,54.941 60.130 C 54.940 60.125,54.939 60.119,54.938 60.114 Z M 27.676 82.475 C 26.428 83.411,25.755 83.954,25.731 83.872 C 26.314 83.445,26.977 82.970,27.676 82.475 Z M 196.752 154.432 C 196.876 154.391,196.945 154.375,196.932 154.400 C 196.877 154.409,196.811 154.422,196.752 154.432 Z M 114.111 81.344 C 113.828 81.094,113.653 80.928,113.704 80.907 C 113.835 81.046,113.977 81.200,114.111 81.344 Z M 56.658 68.928 C 56.412 69.016,56.243 69.075,56.241 69.060 C 56.369 69.017,56.526 68.971,56.658 68.928 Z M 278.315 210.526 C 277.622 210.523,276.900 210.473,276.146 210.368 C 271.278 209.729,266.431 205.793,263.696 200.571 C 263.573 200.609,261.030 195.012,260.887 191.407 C 262.503 195.634,264.447 199.874,267.604 203.338 C 270.629 206.839,275.384 209.214,280.084 208.662 C 280.158 208.525,277.324 208.821,273.084 206.429 C 268.817 204.035,264.499 197.931,260.926 188.724 C 261.048 188.603,263.277 194.234,268.209 200.370 C 270.709 203.346,274.214 206.113,278.646 206.428 C 283.071 206.806,288.041 205.143,292.700 202.752 C 292.564 202.884,291.417 205.267,286.891 208.103 C 284.906 209.233,282.054 210.547,278.315 210.526 Z M 292.700 202.752 C 292.706 202.747,292.711 202.744,292.713 202.746 C 292.709 202.748,292.705 202.750,292.700 202.752 Z M 254.281 196.927 C 254.270 196.933,254.836 195.793,255.134 192.612 C 255.206 190.516,255.787 188.264,255.678 185.322 C 255.151 185.320,254.624 185.318,254.097 185.306 C 254.108 188.574,253.728 192.087,254.281 196.927 Z M 270.920 189.932 C 270.936 189.906,269.972 188.330,268.155 185.835 C 267.904 185.439,267.626 185.025,267.322 184.600 C 266.663 184.683,266.002 184.757,265.340 184.827 C 267.287 186.820,269.107 188.736,270.920 189.932 Z M 243.911 183.835 C 243.681 183.696,242.242 179.824,236.679 171.944 C 236.703 171.952,235.452 169.921,235.802 168.540 C 239.477 171.483,242.226 175.156,243.301 178.631 C 243.280 178.624,243.813 177.838,243.540 175.909 C 243.142 174.180,241.921 170.762,236.475 167.491 C 236.410 167.467,241.171 169.194,244.011 172.935 C 247.026 176.580,247.063 181.280,243.911 183.835 Z M 118.767 181.587 C 117.916 181.568,114.482 180.744,116.706 174.513 C 116.712 174.511,117.396 172.669,118.500 170.919 C 118.955 173.126,119.188 175.420,119.190 177.796 C 119.320 177.875,122.752 172.846,119.551 169.415 C 119.540 169.428,121.304 169.702,122.371 171.276 C 123.315 172.776,124.023 176.159,118.939 181.572 C 118.915 181.582,118.855 181.588,118.767 181.587 Z M 104.030 180.690 C 103.873 180.444,106.912 178.860,114.037 173.471 C 114.050 173.479,115.856 171.983,117.221 171.032 C 115.097 173.755,112.441 176.242,109.286 178.141 C 109.691 177.990,114.692 176.499,118.327 170.329 C 118.265 170.465,117.666 172.396,115.579 174.796 C 113.473 177.261,109.371 180.176,104.030 180.690 Z M 118.327 170.329 C 118.330 170.323,118.332 170.319,118.332 170.320 C 118.331 170.323,118.329 170.326,118.327 170.329 Z M 104.674 175.813 C 103.954 175.811,103.326 175.759,102.795 175.697 C 100.628 175.395,99.812 174.869,99.811 174.891 C 104.850 173.824,109.088 172.780,112.427 171.577 C 115.736 170.420,117.981 169.325,118.004 169.371 C 110.374 173.723,105.850 174.502,105.844 174.745 C 109.722 174.264,113.596 172.883,117.128 170.588 C 115.878 172.082,113.434 173.562,113.418 173.519 C 109.809 175.392,106.832 175.821,104.674 175.813 Z M 110.159 171.680 C 108.586 171.674,107.137 171.228,106.248 170.241 C 106.332 170.135,109.741 169.184,115.331 168.125 C 115.321 168.128,116.792 167.919,117.498 168.210 C 114.989 169.334,112.453 170.019,110.011 170.239 C 110.340 170.376,112.447 171.661,117.972 168.603 C 117.997 168.607,116.022 170.244,113.424 171.110 C 112.371 171.484,111.236 171.685,110.159 171.680 Z M 178.767 171.082 C 178.620 170.601,178.467 170.130,178.304 169.672 C 173.061 169.600,166.900 168.434,161.369 165.771 C 153.308 162.093,147.032 156.259,143.145 151.944 C 142.667 152.133,142.200 152.337,141.747 152.555 C 143.741 155.122,146.100 157.575,148.860 159.753 C 155.548 165.121,164.235 168.890,173.429 170.445 C 175.198 170.742,176.980 170.950,178.767 171.082 Z M 178.811 170.749 C 178.806 170.753,178.794 170.712,178.773 170.629 C 178.785 170.669,178.799 170.709,178.811 170.749 Z M 177.300 167.984 C 177.416 167.984,177.532 167.982,177.648 167.980 C 176.269 164.703,174.545 162.097,172.994 160.217 C 174.213 161.651,176.046 164.140,177.772 167.979 C 177.792 167.979,177.812 167.979,177.833 167.979 C 176.370 164.385,174.315 161.297,171.948 158.746 C 171.856 158.741,171.763 158.734,171.671 158.729 C 171.985 159.054,172.316 159.424,172.658 159.822 C 172.088 159.180,171.734 158.834,171.658 158.728 C 171.607 158.726,171.556 158.722,171.505 158.719 C 173.610 160.927,175.386 163.449,176.738 166.168 C 175.432 163.764,173.392 160.933,171.171 158.700 C 168.794 158.541,166.333 158.205,163.828 157.639 C 158.244 156.405,152.907 153.796,148.440 150.569 C 146.656 150.814,144.956 151.253,143.379 151.856 C 147.396 156.018,153.791 161.557,161.771 164.837 C 166.925 167.086,172.498 168.002,177.300 167.984 Z M 172.658 159.822 C 172.743 159.919,172.829 160.021,172.923 160.130 C 172.833 160.022,172.746 159.926,172.658 159.822 Z M 172.923 160.130 C 172.947 160.159,172.970 160.188,172.994 160.217 C 172.971 160.190,172.945 160.156,172.923 160.130 Z M 117.495 167.909 C 116.183 167.905,113.566 167.447,113.150 164.851 C 113.144 164.880,115.290 164.301,117.635 166.068 C 117.634 166.069,118.201 166.594,118.281 167.253 C 117.103 166.787,115.959 166.283,114.851 165.745 C 114.901 165.818,115.278 167.382,118.243 167.824 C 118.225 167.861,117.933 167.911,117.495 167.909 Z M 262.443 166.327 C 262.231 166.328,262.002 166.319,261.755 166.300 C 259.196 166.215,254.386 164.653,246.456 163.844 C 246.435 163.832,242.224 163.365,238.577 163.028 C 243.488 161.528,249.118 160.885,255.319 162.087 C 255.333 162.106,252.625 160.531,248.585 159.930 C 244.642 159.304,239.478 159.919,235.506 162.622 C 235.596 162.509,236.535 160.294,240.578 158.639 C 242.684 157.836,245.669 157.191,249.819 157.759 C 253.960 158.333,259.574 160.373,264.994 165.491 C 265.007 165.510,264.499 166.327,262.443 166.327 Z M 235.506 162.622 C 235.502 162.626,235.500 162.628,235.499 162.627 C 235.501 162.625,235.503 162.624,235.506 162.622 Z M 133.387 159.394 C 135.110 156.594,137.531 154.385,140.328 152.800 C 140.303 152.764,140.278 152.728,140.252 152.692 C 135.653 155.355,133.934 158.350,133.387 159.394 Z M 170.470 157.259 C 167.923 154.864,165.109 153.038,162.332 151.813 C 157.847 149.908,153.467 149.347,149.688 149.652 C 149.813 149.739,149.938 149.827,150.065 149.914 C 152.196 149.764,154.343 149.900,156.412 150.337 C 161.488 151.273,166.150 153.752,169.946 157.201 C 170.121 157.221,170.296 157.241,170.470 157.259 Z M 169.475 157.146 C 166.710 154.762,164.174 153.540,164.199 153.509 C 159.729 151.111,155.059 150.179,150.737 150.363 C 152.700 151.651,154.814 152.817,157.060 153.785 C 161.023 155.571,165.288 156.630,169.475 157.146 Z M 114.931 156.970 C 114.459 156.969,113.974 156.922,113.481 156.823 C 113.469 156.595,115.043 153.297,119.665 149.485 C 119.672 149.485,120.947 148.494,122.192 148.044 C 121.025 150.445,119.221 152.619,117.089 154.395 C 116.785 154.412,121.524 154.366,123.300 147.760 C 123.315 147.733,123.594 150.005,122.137 152.554 C 120.963 154.759,118.239 156.980,114.931 156.970 Z M 202.485 153.424 C 205.334 152.121,206.579 150.758,206.708 150.657 C 205.131 151.269,203.542 151.845,201.943 152.381 C 202.119 152.731,202.304 153.076,202.485 153.424 Z M 141.469 152.199 C 141.914 151.980,142.367 151.777,142.827 151.588 C 142.784 151.540,142.739 151.491,142.697 151.443 C 142.234 151.651,141.796 151.863,141.376 152.079 C 141.406 152.119,141.438 152.159,141.469 152.199 Z M 143.041 151.503 C 144.599 150.883,146.231 150.438,147.892 150.166 C 147.783 150.085,147.674 150.004,147.566 149.922 C 146.395 150.129,145.300 150.420,144.300 150.780 C 143.812 150.966,143.349 151.159,142.901 151.355 C 142.947 151.404,142.995 151.454,143.041 151.503 Z M 52.053 150.134 C 51.114 150.113,50.202 149.568,49.438 148.199 C 49.612 148.467,50.409 149.498,51.506 148.788 C 52.716 147.981,53.152 144.380,52.288 137.850 C 52.331 137.857,51.968 134.393,52.589 131.849 C 54.911 136.826,56.194 142.221,54.487 145.748 C 54.630 145.546,55.753 144.393,56.506 142.062 C 57.302 139.551,57.333 135.204,53.412 129.863 C 53.321 129.821,57.117 132.626,58.464 137.178 C 59.114 139.400,58.996 140.930,57.763 144.973 C 57.103 146.716,54.488 150.187,52.053 150.134 Z M 49.438 148.199 C 49.409 148.153,49.395 148.127,49.404 148.138 C 49.415 148.159,49.427 148.178,49.438 148.199 Z M 168.521 150.094 C 164.558 150.040,160.292 149.340,156.101 147.657 C 149.507 144.854,143.248 139.704,139.528 132.816 C 135.786 125.918,134.683 118.120,132.760 111.191 C 130.997 104.169,127.853 98.060,124.485 93.050 C 117.757 83.180,111.145 77.218,109.832 75.408 C 110.382 75.975,115.063 79.883,120.964 86.895 C 124.111 90.658,127.635 95.344,130.440 101.093 C 133.336 106.831,134.834 113.679,136.585 120.476 C 138.271 127.276,141.038 134.077,146.030 138.996 C 150.946 143.945,157.214 147.248,163.498 148.275 C 176.057 150.410,186.570 145.657,192.324 143.121 C 190.957 143.910,185.048 147.781,175.248 149.568 C 173.168 149.927,170.899 150.127,168.521 150.094 Z M 192.324 143.121 C 192.522 143.007,192.627 142.955,192.633 142.985 C 192.540 143.026,192.420 143.078,192.324 143.121 Z M 109.832 75.408 C 109.791 75.366,109.768 75.338,109.774 75.333 C 109.789 75.354,109.815 75.385,109.832 75.408 Z M 45.353 149.510 C 45.353 149.508,45.354 149.506,45.355 149.504 C 45.356 149.508,45.356 149.510,45.353 149.510 Z M 45.355 149.504 C 45.313 149.339,42.246 145.306,48.229 135.061 C 48.232 135.064,49.265 132.569,50.586 131.289 C 49.695 135.350,48.634 139.379,47.432 143.329 C 47.716 142.845,50.880 139.143,51.780 130.410 C 51.778 130.410,52.286 133.365,51.483 137.166 C 50.736 140.993,46.555 146.154,45.355 149.504 Z M 81.034 148.375 C 80.425 148.352,77.145 137.653,64.311 131.650 C 64.320 131.613,60.894 129.753,58.706 127.782 C 64.841 128.779,71.473 130.507,76.560 136.432 C 76.572 136.485,75.982 133.859,72.902 130.940 C 69.863 128.074,64.286 125.546,57.133 125.960 C 57.520 125.878,61.628 124.324,67.808 125.654 C 71.008 126.389,74.895 128.092,78.144 132.007 C 81.394 135.802,83.199 142.629,81.085 148.344 C 81.071 148.366,81.054 148.376,81.034 148.375 Z M 57.133 125.960 C 57.114 125.964,57.101 125.966,57.101 125.961 C 57.112 125.961,57.123 125.961,57.133 125.960 Z M 59.039 146.328 C 58.667 146.328,58.465 146.301,58.488 146.303 C 60.648 145.604,60.028 141.126,59.209 138.593 C 57.608 133.395,54.876 128.462,55.030 128.507 C 60.136 135.187,61.980 139.595,62.297 141.348 C 62.605 143.081,62.776 143.255,62.835 143.352 C 63.964 142.296,64.318 140.028,63.318 137.240 C 62.332 134.478,60.261 131.511,57.719 128.779 C 61.105 129.566,64.457 132.978,64.342 133.000 C 67.111 136.435,67.688 139.760,66.906 141.742 C 66.211 143.763,64.729 144.734,63.379 145.376 C 61.499 146.205,59.857 146.330,59.039 146.328 Z M 97.865 139.410 C 101.174 133.207,104.732 127.235,107.619 121.118 C 105.798 121.126,103.928 121.600,102.262 122.530 C 98.783 124.348,96.282 128.213,96.179 132.384 C 96.137 134.778,96.722 137.230,97.865 139.410 Z M 195.793 136.853 C 195.966 136.667,196.134 136.478,196.300 136.288 C 196.078 136.303,195.855 136.315,195.632 136.327 C 195.686 136.502,195.739 136.678,195.793 136.853 Z M 53.538 126.525 C 53.534 126.534,52.188 125.957,49.701 125.113 C 48.460 124.699,46.919 124.217,45.158 123.763 C 44.734 123.655,44.239 123.532,43.865 123.453 C 42.507 123.049,42.399 122.958,41.577 122.677 C 40.284 122.157,38.922 121.550,37.613 120.714 C 32.327 117.561,27.162 111.421,25.823 103.343 C 25.701 102.606,25.607 101.857,25.545 101.101 C 20.986 97.592,17.190 92.671,15.315 86.773 C 9.446 71.249,15.361 53.248,24.402 43.091 C 33.480 32.440,44.545 29.058,48.634 28.407 C 48.757 28.503,41.183 29.874,32.326 36.842 C 23.495 43.520,14.514 57.252,14.449 72.992 C 14.416 80.706,16.737 88.610,21.261 94.658 C 22.501 96.347,23.920 97.864,25.460 99.195 C 25.434 96.434,25.841 93.599,26.812 90.829 C 28.262 86.472,31.326 82.497,35.331 79.829 C 43.242 74.509,55.573 74.681,62.639 83.199 C 65.980 87.228,67.408 92.668,66.634 97.697 C 66.088 102.678,62.556 107.887,57.934 110.049 C 53.256 112.353,47.996 112.338,43.506 109.979 C 42.017 109.175,40.741 108.122,39.695 106.916 C 35.420 106.557,30.894 104.842,26.853 102.052 C 27.698 109.968,32.486 116.782,38.459 120.365 C 41.462 122.377,45.229 123.210,47.208 123.911 C 49.542 124.729,51.674 125.614,53.538 126.525 Z M 58.795 124.479 C 58.671 124.479,58.549 124.479,58.426 124.476 C 63.318 119.534,68.798 115.012,75.162 111.350 C 75.177 111.353,71.670 110.515,67.488 111.976 C 63.265 113.369,58.569 117.019,55.062 124.068 C 55.115 124.077,55.479 118.642,58.760 112.998 C 60.450 110.206,62.938 107.349,67.066 105.558 C 71.219 103.912,76.952 102.787,85.930 106.637 C 85.940 106.613,86.660 110.434,84.141 114.007 C 81.749 117.732,75.826 120.212,67.042 123.212 C 67.007 123.185,62.625 124.463,58.795 124.479 Z M 205.883 123.991 C 205.599 123.993,205.296 123.975,204.975 123.933 C 204.975 123.933,204.216 123.790,203.775 123.431 C 204.982 123.306,206.193 123.150,207.406 122.961 C 207.409 122.934,206.159 122.208,203.497 123.073 C 203.879 122.877,206.774 120.897,209.296 122.657 C 209.298 122.668,208.199 123.977,205.883 123.991 Z M 203.497 123.073 C 203.470 123.087,203.455 123.093,203.454 123.087 C 203.468 123.082,203.482 123.078,203.497 123.073 Z M 200.440 122.784 C 198.651 122.788,194.919 122.159,192.776 118.515 C 192.871 118.549,195.619 116.736,199.819 119.530 C 199.819 119.526,200.858 120.411,201.277 121.604 C 199.426 120.760,197.565 120.030,195.704 119.415 C 195.701 119.399,197.086 121.750,201.451 122.659 C 201.417 122.712,201.037 122.783,200.440 122.784 Z M 192.776 118.515 C 192.774 118.515,192.773 118.513,192.774 118.511 C 192.775 118.512,192.775 118.514,192.776 118.515 Z M 203.802 122.604 C 205.015 121.029,206.158 119.284,207.126 117.464 C 207.074 117.425,205.441 118.393,203.267 122.413 C 203.634 121.462,205.081 116.248,208.598 114.562 C 208.585 114.491,208.915 118.281,205.485 121.724 C 205.501 121.727,204.567 122.520,203.802 122.604 Z M 203.186 122.563 C 203.213 122.513,203.240 122.463,203.267 122.414 C 203.229 122.512,203.202 122.565,203.186 122.563 Z M 202.688 122.180 C 202.686 122.180,202.685 122.178,202.684 122.174 C 205.255 117.197,204.391 113.791,204.366 113.541 C 203.954 116.193,203.375 118.793,202.484 121.250 C 202.331 120.074,202.565 118.385,202.530 118.382 C 203.262 111.925,204.711 109.356,204.823 109.348 C 207.268 116.297,202.844 122.225,202.688 122.180 Z M 261.308 122.118 C 258.312 122.052,255.315 121.075,252.978 119.099 C 246.783 113.648,245.736 104.483,247.877 97.189 C 249.870 89.652,255.182 83.545,261.152 79.656 C 267.221 75.739,274.117 74.089,280.416 73.928 C 293.242 73.628,303.203 79.260,308.759 84.071 C 312.468 87.298,314.660 90.040,315.766 91.544 C 307.076 80.079,294.407 74.640,283.687 74.226 C 272.427 73.646,263.307 77.791,257.789 82.669 C 252.206 87.613,249.661 92.822,248.654 96.326 C 247.862 98.897,247.671 100.578,247.606 101.303 C 249.203 87.693,261.449 77.289,274.504 75.129 C 287.860 72.627,302.098 77.489,311.538 87.126 C 307.875 83.466,302.039 79.626,296.799 77.698 C 291.571 75.745,287.261 75.231,287.285 75.248 C 270.656 72.899,256.459 81.478,251.018 92.064 C 245.358 102.688,247.829 114.196,253.891 118.987 C 260.260 123.446,267.194 121.552,269.529 118.846 C 272.052 115.997,271.516 113.743,271.721 113.868 C 271.712 117.901,268.257 121.324,264.278 121.884 C 263.305 122.061,262.306 122.140,261.308 122.118 Z M 315.766 91.544 C 316.072 91.948,316.374 92.357,316.670 92.776 C 316.646 92.803,316.349 92.336,315.766 91.544 Z M 201.805 121.813 C 201.677 121.540,198.735 117.511,198.834 112.368 C 198.874 112.420,201.312 113.484,202.247 118.707 C 202.278 118.703,202.373 120.116,202.107 121.083 C 201.613 119.018,200.966 117.063,200.150 115.202 C 200.110 115.258,200.159 117.587,201.805 121.813 Z M 198.834 112.368 L 198.834 112.367 C 198.833 112.367,198.834 112.366,198.834 112.366 C 198.834 112.367,198.834 112.367,198.834 112.368 Z M 107.987 115.183 C 108.767 115.168,109.541 115.058,110.286 114.864 C 111.135 112.599,111.814 110.291,112.315 107.972 C 111.495 109.404,110.062 110.302,108.728 110.584 C 104.932 111.354,103.105 107.787,103.669 106.376 C 103.221 107.955,105.430 111.229,108.868 110.150 C 110.430 109.723,111.930 108.355,112.345 106.443 C 112.778 104.541,112.092 102.459,110.629 100.975 C 107.583 97.772,101.497 99.224,99.726 103.418 C 97.721 107.578,100.215 112.744,104.141 114.421 C 105.374 114.970,106.690 115.207,107.987 115.183 Z M 232.966 113.026 C 232.944 113.016,233.096 112.759,233.342 112.292 C 233.224 112.536,233.102 112.779,232.976 113.022 C 232.971 113.026,232.968 113.027,232.966 113.026 Z M 233.342 112.292 C 236.689 105.396,237.006 98.291,235.895 92.663 C 234.729 86.756,231.978 82.360,229.303 79.453 C 224.476 74.793,220.542 73.975,219.448 73.768 C 226.448 75.557,231.799 81.352,234.227 88.007 C 236.632 94.348,236.753 101.465,234.781 107.924 C 236.306 102.555,235.778 94.661,235.534 94.713 C 234.264 86.038,229.540 79.174,224.036 76.174 C 218.543 72.812,212.775 73.179,209.436 75.611 C 205.968 77.829,204.588 80.847,204.465 82.804 C 204.329 84.800,204.833 85.736,204.763 85.738 C 203.026 81.655,205.791 77.051,209.340 74.846 C 212.921 72.285,217.792 72.308,221.622 73.851 C 229.670 76.742,234.193 84.462,235.759 90.893 C 238.299 102.100,234.576 109.953,233.342 112.292 Z M 234.781 107.924 C 234.656 108.363,234.520 108.787,234.366 109.187 C 234.513 108.769,234.652 108.348,234.781 107.924 Z M 50.460 110.573 C 52.637 110.579,54.851 110.103,56.932 109.106 C 60.825 107.337,64.026 103.373,64.943 98.989 C 65.955 94.749,65.250 89.959,62.838 86.075 C 60.513 82.173,56.287 79.188,51.851 78.284 C 47.509 77.261,42.768 77.726,38.710 79.650 C 34.622 81.508,31.212 84.798,29.189 88.759 C 27.265 92.513,26.639 96.364,26.735 100.233 C 30.362 103.017,34.535 104.823,38.600 105.472 C 37.148 103.277,36.362 100.748,36.335 98.318 C 36.104 94.027,38.458 89.433,41.937 87.427 C 45.312 85.290,49.190 85.271,51.897 86.309 C 51.941 86.477,49.401 85.110,45.024 86.374 C 42.914 87.047,40.468 88.593,38.814 91.308 C 37.159 94.119,36.651 97.376,37.535 100.927 C 37.948 102.570,38.756 104.203,39.905 105.643 C 42.846 105.952,45.623 105.738,47.852 104.571 C 50.123 103.292,51.844 100.845,52.951 98.779 C 55.036 94.568,54.938 90.647,54.281 88.271 C 54.516 88.895,55.093 90.455,55.091 92.940 C 55.041 96.139,53.695 101.116,49.267 104.932 C 46.895 106.368,44.098 107.018,41.135 106.983 C 42.201 107.994,43.465 108.849,44.902 109.463 C 46.649 110.188,48.540 110.568,50.460 110.573 Z M 54.281 88.271 C 54.205 88.069,54.163 87.963,54.192 87.959 C 54.223 88.058,54.252 88.165,54.281 88.271 Z M 174.663 101.644 C 174.248 101.639,173.583 101.564,173.001 101.221 C 174.412 100.381,175.744 99.428,177.013 98.423 C 176.951 98.433,174.663 97.636,172.265 100.609 C 172.520 100.172,173.725 95.063,178.915 96.797 C 178.984 96.712,179.336 100.560,175.070 101.622 C 175.072 101.626,174.912 101.647,174.663 101.644 Z M 172.243 100.636 C 172.250 100.627,172.257 100.619,172.264 100.610 C 172.257 100.623,172.249 100.632,172.243 100.636 Z M 92.577 96.861 C 92.300 96.828,88.598 94.854,83.763 91.922 C 78.434 88.858,73.396 85.711,63.793 81.656 C 63.823 81.592,58.788 79.236,54.812 76.024 C 64.524 74.743,75.239 76.816,83.107 83.681 C 83.043 83.520,82.660 79.927,78.061 75.862 C 73.562 71.783,63.217 67.960,51.642 72.919 C 51.550 73.066,57.931 66.648,69.996 67.192 C 75.829 67.485,83.029 70.150,87.976 75.868 C 92.981 81.484,94.936 89.611,92.594 96.858 C 92.592 96.861,92.586 96.862,92.577 96.861 Z M 152.133 91.927 C 150.622 91.934,149.084 91.675,147.610 91.151 C 147.538 91.283,143.276 89.077,142.369 86.217 C 145.058 87.683,148.126 88.581,151.214 88.492 C 154.253 88.430,157.459 86.933,158.951 84.298 C 158.907 84.183,157.272 85.359,154.636 85.779 C 151.923 86.159,148.054 86.128,141.939 83.908 C 141.895 83.798,146.476 84.564,150.395 83.773 C 152.487 83.372,153.868 82.807,154.958 82.040 C 155.711 81.511,156.434 81.092,157.070 80.435 C 157.714 79.825,158.259 78.446,157.443 76.567 C 157.451 76.576,157.899 76.416,158.993 76.550 C 159.913 76.757,161.893 77.602,162.632 80.249 C 163.411 82.852,162.531 86.318,159.850 88.981 C 157.804 90.931,155.018 91.913,152.133 91.927 Z M 54.678 54.390 C 55.112 54.222,55.514 54.061,55.954 53.891 C 57.419 53.315,58.961 52.731,60.507 52.147 C 62.070 47.991,64.581 44.240,68.673 42.137 C 68.560 42.096,65.905 40.617,61.785 42.732 C 58.603 44.323,55.292 48.535,54.678 54.390 Z M 78.583 32.036 C 78.583 32.036,78.581 32.034,78.580 32.034 C 78.583 32.035,78.587 32.035,78.590 32.036 C 78.589 32.038,78.587 32.038,78.583 32.036 Z M 78.580 32.034 C 69.847 30.114,61.491 29.075,54.658 29.368 C 47.894 29.560,42.971 30.649,42.953 30.562 C 51.083 28.290,57.196 27.981,61.300 27.895 C 65.402 27.828,67.522 27.901,67.523 27.871 C 60.057 26.179,52.068 26.583,44.685 29.008 C 47.165 27.086,52.161 25.763,52.163 25.798 C 61.939 23.762,69.203 26.160,73.166 28.185 C 77.068 30.231,78.454 31.958,78.580 32.034 Z
koldat commented
Issue for findMats(bezierLoops, 3, 100)
hariharan382 commented
hi have you solved the issue?
koldat commented
No
FlorisSteenkamp commented
Hi. I've have a look into it and get back to you.
hariharan382 commented
Hi. I've have a look into it and get back to you.
Hi. I've have a look into it and get back to you.
please say why are you culling when finding the 2 prongs,I could no where see you using a circle curve intersection in the code without that how are you refining the radius, and are you culling in order to reduce computation, because for cubic bezier and circle intersection I am getting polynomial of degree 6, which is very slow computation please just help here
hariharan382 commented
No
do you why are culling to find 2 prong?,
FlorisSteenkamp commented
Hi koldat.
There was a bug in the boolean operation library (flo-boolean) that's now fixed.
Also, please use a low value for both parameters 2 and 3, e.g. findMats(bezierLoops, 0.4, 4) instead of findMats(bezierLoops, 3, 100) else too little MAT points are generated causing the algorithm to fail under certain circumstances. With the low values it should be robust now.
I am currently working to ensure robustness even with high parameter values.
FlorisSteenkamp commented
Hi hari
There is no need to find bezier circle intersections even though one could easily think so (and in fact it will also work doing it that way).
See the paper for details. There are 3 points, x,y and z. x is the center of the MAT circle to be found. y is a fixed boundary point
and z is the closest point to x on the boundary.
You only need to find the next x iteratively to within some tolerance by finding the foot point from x on the boundary. In the code it is called getFootpointPolyDd and it is defined in the library flo-bezier. Even then, it is still a 5th order polynomial and to find it's roots accurately by controlling the error is an immensely difficult task due to the high condition number of some polynomials, see e.g. https://epubs.siam.org/doi/book/10.1137/1.9780898718027 and google condition
number. See also here https://people.mpi-inf.mpg.de/~mehlhorn/ftp/classroomExamplesNonrobustness.pdf
why controlling the error is important.
The culling of beziers is simply an optimization to eliminate some beziers that is guaranteed not to contain z.
Unfortunately I do not currently have the time to help you further with the algorithm itself here. I suggest you ask on Stack Overflow. Github issues are only for bug reports and feature requests.
If you want a fast, accurate algorithm for circle/bezier intersection it is defined here: https://github.com/FlorisSteenkamp/FloBezier/blob/master/src/intersection/circle-bezier-intersection/circle-bezier-intersection.ts
koldat commented
Hi Floris,
Thank you so much. It is much better. Unfotunatelly there are still some artifacts I am not able to tune.
I tried these:
findMats(bezierLoops, 0.4, 4);
findMats(bezierLoops, 0.1, 1)
Still some extreme parts of image that go to thin strip fails. Any idea what I can tune? I do not care if output will be very large. I just try to have correct one (Working on slicer for my CNC....).
FlorisSteenkamp commented
Thanks for the feedback.
It is a very specific issue that occurs at the corners. Best will be for me to fix it.
I'll see what I can do.
FlorisSteenkamp commented
The reason the algorithm is struggling so much is if you zoom in about a million times on to the points where individual beziers meet they're not smooth (see the image).
koldat commented
I am trying to find your zoom and not able to find it :)
This one seems clean to me (I was able to move by point in Inkscape as individual ones.
koldat commented
When I cut just the portion of the image with crossings it works. So something around is affecting it.
This is correct
FlorisSteenkamp commented
Hi koldat. Ok, I've finally fixed some bugs and added extra details specifically
on the sharp corners that should make it incredibly accurate everywhere.
See the before and after images below that also shows the construction circles.
The new package is a major version upgrade from version 2.x.x to 3.x.x due to
breaking changes, specifically:
Instead of, for example:
import { findMats } from 'flo-mat';
const mats = findMats(bezierLoops, 0.4, 4);
const cpNode = mats[0].cpNode;
// use functions:
cpNode.getAllOnLoop();
cpNode.isTerminating();
cpNode.isSharp();
// etc.the functions are now not part of the CpNode class anymore, thus:
import { findMats, getAllOnLoop, isTerminating, isSharp } from 'flo-mat';
const mats = findMats(bezierLoops, 0.4, 4);
const cpNode = mats[0].cpNode;
getAllOnLoop(cpNode);
isTerminating(cpNode);
isSharp(cpNode);The demo and examples repos have been updated to reflect this.
FlorisSteenkamp commented
To romove 'noise' I also recommend using:
const satScale = 1.1; // a number > 1 and <= 1.5 works best, the higher the more noise is removed.
let sats = findMats(bezierLoops, 0.4, 4).map(mat => toScaleAxis(mat, satScale));instead of:
let mats = findMats(bezierLoops, 0.4, 4);