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d="M 1393.7812,931.6875 C 1391.6339,933.12075 1389.4666,934.52889 1387.25,935.875 C 1382.8416,938.55219 1378.2045,941.0909 1373.5,943.6875 C 1373.7237,944.13657 1374.0685,944.61646 1374.2812,945.0625 C 1375.9908,948.64617 1377.3251,952.14094 1378.3125,955.59375 C 1379.2728,958.95157 1379.8923,962.28041 1380.2188,965.59375 C 1383.8667,962.31637 1387.4908,959.13261 1391,956.1875 C 1393.0373,954.4777 1394.879,952.89705 1396.875,951.25 C 1396.9406,950.03483 1397.1612,948.86987 1397.125,947.625 C 1397.0794,946.05785 1396.9747,944.47418 1396.75,942.84375 C 1396.5253,941.21332 1396.1752,939.5494 1395.75,937.84375 C 1395.3248,936.1381 1394.8034,934.38654 1394.1562,932.59375 C 1394.0502,932.29987 1393.8927,931.98423 1393.7812,931.6875 z " />
d="M 1426.3069,925.44194 C 1420.6494,930.43731 1402.8286,946.3372 1396.875,951.25 C 1396.7754,953.09436 1396.7682,954.97002 1396.4688,956.75 C 1395.972,959.70273 1395.2256,962.5709 1394.3125,965.4375 C 1393.3994,968.3041 1392.3455,971.15536 1391.1875,974.03125 C 1390.3857,976.02248 1383.0458,994.55806 1382.1962,996.59247 C 1385.7955,993.09681 1401.0358,979.61193 1404.7327,977.45036 C 1408.7336,966.3972 1422.9349,938.85173 1426.3069,925.44194 z "
d="M 1427.5774,904.71994 C 1425.5734,906.89875 1411.3765,917.64662 1409.3125,919.5625 C 1406.9859,921.72212 1404.6272,923.73218 1402.2188,925.625 C 1399.8103,927.51782 1397.3714,929.27141 1394.875,930.96875 C 1394.5147,931.21374 1394.1435,931.44573 1393.7812,931.6875 C 1393.8927,931.98423 1394.0502,932.29987 1394.1562,932.59375 C 1394.8034,934.38654 1395.3248,936.1381 1395.75,937.84375 C 1396.1752,939.5494 1396.5253,941.21332 1396.75,942.84375 C 1396.9747,944.47418 1397.0794,946.05785 1397.125,947.625 C 1397.1612,948.86987 1396.9406,950.03483 1396.875,951.25 C 1402.8286,946.3372 1419.0266,932.06014 1424.6841,927.06477 C 1426.3982,920.24825 1429.0208,913.53698 1427.5774,904.71994 z "
d="M 1418.8846,886.33633 C 1416.5012,889.34037 1405.677,902.13398 1403.1875,904.59375 C 1400.5281,907.22144 1397.8194,909.5492 1395.0312,911.65625 C 1392.2431,913.7633 1389.3935,915.65353 1386.4688,917.34375 C 1386.4485,917.35545 1386.4265,917.36331 1386.4062,917.375 C 1387.2353,918.66184 1388.0965,919.97752 1388.8125,921.21875 C 1389.9679,923.22161 1390.9844,925.17064 1391.875,927.0625 C 1392.6196,928.64425 1393.2126,930.17403 1393.7812,931.6875 C 1394.1435,931.44573 1394.5147,931.21374 1394.875,930.96875 C 1397.3714,929.27141 1399.8103,927.51782 1402.2188,925.625 C 1404.6272,923.73218 1406.9859,921.72212 1409.3125,919.5625 C 1411.3765,917.64662 1421.7868,909.60345 1423.7908,907.42464 C 1422.9357,902.20089 1421.4191,892.5286 1418.8846,886.33633 z "
d="M 1416.0386,874.48506 C 1414.8624,876.1121 1403.6735,889.88019 1402.4688,891.34375 C 1401.0363,893.0839 1399.5988,894.69427 1398.125,896.21875 C 1396.6512,897.74323 1395.1415,899.17442 1393.625,900.5 C 1392.1085,901.82558 1390.5602,903.04405 1389,904.1875 C 1386.3134,906.15641 1383.5399,907.78466 1380.7188,909.28125 C 1382.2169,911.24381 1383.6432,913.16893 1384.9062,915.03125 C 1385.4545,915.83963 1385.8975,916.58538 1386.4062,917.375 C 1386.4265,917.36331 1386.4485,917.35545 1386.4688,917.34375 C 1389.3935,915.65353 1392.2431,913.7633 1395.0312,911.65625 C 1397.8194,909.5492 1400.5281,907.22144 1403.1875,904.59375 C 1405.677,902.13398 1419.2059,886.09472 1421.5893,883.09068 C 1420.319,879.98715 1417.8116,877.8695 1416.0386,874.48506 z "
d="M 1401.5097,864.79865 C 1393.6385,876.76847 1377.15,888.97802 1367.7285,893.89665 C 1369.5329,896.01102 1378.5773,906.46873 1380.125,908.46875 C 1380.3418,908.74893 1380.5068,909.0036 1380.7188,909.28125 C 1383.5399,907.78466 1386.3134,906.15641 1389,904.1875 C 1390.5602,903.04405 1392.1085,901.82558 1393.625,900.5 C 1395.1415,899.17442 1396.6512,897.74323 1398.125,896.21875 C 1399.5988,894.69427 1401.0363,893.0839 1402.4688,891.34375 C 1403.6735,889.88019 1413.7806,877.19398 1414.9568,875.56694 C 1413.461,872.71156 1403.3984,867.87038 1401.5097,864.79865 z "
d="M 1400.0625,876.21875 C 1400.4025,876.75831 1400.6412,877.24847 1400.9688,877.78125 C 1401.0068,877.72341 1401.0557,877.68304 1401.0938,877.625 C 1401.0938,877.625 1400.0625,876.21873 1400.0625,876.21875 z " />
</g>
<text
xml:space="preserve"
style="font-size:16px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
x="73.244087"
y="53.224361"
id="text5284"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5286"
x="73.244087"
y="53.224361">Imagine we have an arbitrary </tspan><tspan
sodipodi:role="line"
x="73.244087"
y="73.224361"
id="tspan5292">gradient mesh like this:</tspan></text>
<text
sodipodi:linespacing="125%"
id="text5288"
y="53.051678"
x="458.52991"
style="font-size:16px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
xml:space="preserve"><tspan
y="53.051678"
x="458.52991"
id="tspan5290"
sodipodi:role="line">Each cell is a shape made out </tspan><tspan
y="73.051678"
x="458.52991"
sodipodi:role="line"
id="tspan5296">of 4 bezier curves. Each node </tspan><tspan
y="93.051678"
x="458.52991"
sodipodi:role="line"
id="tspan4304">has a color assigned to it.</tspan><tspan
y="113.05168"
x="458.52991"
sodipodi:role="line"
id="tspan5294">Let's take one such shape with </tspan><tspan
y="133.05168"
x="458.52991"
sodipodi:role="line"
id="tspan3247">its 4 colors:</tspan></text>
<path
id="path5298"
sodipodi:nodetypes="cccscccsc"
d="M 623.11633,244.376 C 631.55787,221.05538 656.05812,200.61441 623.58105,149.07469 C 623.58105,149.07469 624.60586,150.48023 624.60586,150.48023 C 600.66724,187.03926 570.42749,184.28446 531.09197,183.66984 C 507.20273,183.29658 499.49576,200.88167 495.65956,224.94834 C 495.65956,224.94834 495.52217,225.80822 495.52217,225.80822 C 529.21573,244.95373 575.68891,274.05401 561.33375,318.98906 C 570.13601,313.25772 578.46644,304.06926 586.1618,289.57336 C 598.47251,266.38341 610.42582,251.79631 623.11633,244.376 z "
style="font-size:16px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
x="47.022469"
y="504.19568"
id="text5300"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
x="47.022469"
y="504.19568"
id="tspan5317">Interpolate the opposite </tspan><tspan
sodipodi:role="line"
x="47.022469"
y="524.19568"
id="tspan4422">sides, similarly to the way </tspan><tspan
sodipodi:role="line"
x="47.022469"
y="544.19568"
id="tspan4401">it's done for curvilinear </tspan><tspan
style="font-size:16px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
xml:space="preserve"><tspan
id="tspan5327"
y="504.62204"
x="320.45407"
sodipodi:role="line">Now interpolate the </tspan><tspan
y="524.62204"
x="320.45407"
sodipodi:role="line"
id="tspan4316">4 colors:</tspan></text>
<text
xml:space="preserve"
style="font-size:16px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
x="538.32141"
y="504.55927"
id="text5338"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
x="538.32141"
y="504.55927"
id="tspan5340">Subdivide the shape and </tspan><tspan
style="font-size:16px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
xml:space="preserve"><tspan
id="tspan5348"
y="824.23975"
x="115.99799"
sodipodi:role="line">Now group all and </tspan><tspan
y="844.23975"
x="115.99799"
sodipodi:role="line"
id="tspan3333">blur the group:</tspan></text>
<text
xml:space="preserve"
style="font-size:16px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
x="388.32138"
y="824.55927"
id="text5352"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
x="388.32138"
y="824.55927"
id="tspan5354">Finally, clip it with the original shape, </tspan><tspan
sodipodi:role="line"
x="388.32138"
y="844.55927"
id="tspan2336">and extend the outer edges of the edge </tspan><tspan
sodipodi:role="line"
x="388.32138"
y="864.55927"
id="tspan4407">segments by at least the blur radius, </tspan><tspan
sodipodi:role="line"
x="388.32138"
y="884.55927"
id="tspan2338">so that the edges are solid:</tspan></text>
<text
sodipodi:linespacing="125%"
id="text5356"
y="1131.817"
x="188.63039"
style="font-size:19.93614197px;font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:125%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Serif"
xml:space="preserve"><tspan
y="1131.817"
x="188.63039"
sodipodi:role="line"
id="tspan5360">Eventually, all of this must be done </tspan><tspan
y="1156.7834"
x="188.63039"
sodipodi:role="line"
id="tspan4344"><tspan
style="font-weight:bold"
id="tspan4440">automatically </tspan>for <tspan
style="font-weight:bold"
id="tspan4340">all</tspan> parts of the mesh, </tspan><tspan
y="1181.7035"
x="188.63039"
sodipodi:role="line"
id="tspan5362">creating a compound object that updates </tspan><tspan
y="1206.6237"
x="188.63039"
sodipodi:role="line"
id="tspan4357">itself when you node-edit the mesh lines </tspan><tspan
y="1231.5901"
x="188.63039"
sodipodi:role="line"
id="tspan4361">or change colors. This is <tspan
style="font-weight:bold"
id="tspan4367">not yet </tspan></tspan><tspan
y="1256.5564"
x="188.63039"
sodipodi:role="line"
id="tspan4377"><tspan
style="font-weight:bold"
id="tspan4371">implemented</tspan> in Inkscape 0.45, but with</tspan><tspan
y="1281.4766"
x="188.63039"
sodipodi:role="line"
id="tspan4383">blur, you can already do it manually. </tspan><tspan
y="1306.3968"
x="188.63039"
sodipodi:role="line"
id="tspan4458" /><tspan
y="1331.3169"
x="188.63039"
sodipodi:role="line"
id="tspan4385">And the good news is, the lib2geom </tspan><tspan
y="1356.2371"
x="188.63039"
sodipodi:role="line"
id="tspan4391">development library, planned to be </tspan><tspan
y="1381.1573"
x="188.63039"
sodipodi:role="line"
id="tspan4466">eventually integrated into Inkscape, has all </tspan><tspan
y="1406.0775"
x="188.63039"
sodipodi:role="line"
id="tspan4498">the algorithms necessary for subdividing </tspan><tspan
y="1430.9976"
x="188.63039"
sodipodi:role="line"
id="tspan4494">gradient mesh beziergons. You can </tspan><tspan
y="1455.9178"
x="188.63039"
sodipodi:role="line"
id="tspan4504">download it, play with it, and even export </tspan><tspan
y="1480.838"
x="188.63039"
sodipodi:role="line"
id="tspan4508">your mesh to SVG for blurring in Inkscape:</tspan><tspan
d="M 99,192 C 23.333328,345.33333 227.66667,408 176,464 M 131.90509,155.80092 C 66.321762,298.05632 254.62732,371.75618 196.82176,438.56712 M 162.24074,129.90741 C 107.7963,259.96913 281.12962,343.58643 218.24074,420.09259 M 190.4375,112.625 C 148.02083,229.6875 307.27083,322.41667 240.1875,407.8125 M 216.92592,102.25926 C 187.25926,205.82716 333.14815,307.17284 262.59259,400.96297 M 242.13658,97.115738 C 225.77547,187.00386 358.85879,296.78087 285.38658,398.78009 M 266.5,95.5 C 263.83333,171.83333 384.5,290.16667 308.5,400.5 M 290.44676,95.71759 C 301.69676,158.93132 410.16898,286.25618 331.86342,405.35879 M 314.40741,96.074081 C 339.62962,146.91357 435.96297,283.97531 355.40741,412.59259 M 338.8125,94.875 C 377.89583,134.39583 461.97917,282.25 379.0625,421.4375 M 364.09259,90.425919 C 416.75926,119.99382 488.31482,280.00618 402.75926,431.12962 M 390.67824,81.03241 C 456.48379,102.3233 515.06712,276.16975 426.42824,440.90509 M 419,65 C 497.33333,80 542.33333,269.66667 450,450 M 99,192 C 236.33333,24.333328 301.66667,144.66667 419,65 M 85.606476,228.49306 C 230.34723,52.200623 310.42129,155.35263 437.82871,72.28241 M 82.018524,261.5 C 230.31482,79.956787 321.27777,169.30247 454.90741,86.203705 M 86.375,291.3125 C 234.875,107.58333 333.375,186.1875 469.875,106.125 M 96.814819,318.22223 C 242.66667,135.06172 345.85185,205.67902 482.37038,131.40741 M 111.47685,342.52083 C 252.32871,162.37346 357.84723,227.4483 492.03241,161.41203 M 128.5,364.5 C 262.5,189.5 368.5,251.16667 498.5,195.5 M 146.02315,384.45139 C 271.81944,216.42284 376.94908,276.5054 501.41203,233.03241 M 162.18518,402.66667 C 278.92592,243.12346 382.33333,303.1358 500.40741,273.37038 M 175.125,419.4375 C 282.45833,269.58333 383.79167,330.72917 495.125,315.875 M 182.98148,435.05556 C 281.05556,295.78395 380.46297,358.95679 485.20371,359.90741 M 183.89352,449.8125 C 273.35648,321.70679 371.48611,387.48998 470.28241,404.82871 M 176,464 C 258,347.33333 356,416 450,450"
d="M 99,192 C 110.44444,178.02777 121.38889,166.05556 131.90509,155.80092 C 126.43982,167.65555 122.73766,179.03407 120.50926,189.97223 C 109.28087,201.05158 97.668213,213.80202 85.606476,228.49306 C 88.333328,216.92592 92.694443,204.77777 99,192"
d="M 131.90509,155.80092 C 142.42129,145.54629 152.50926,137.00926 162.24074,129.90741 C 157.70371,140.74588 154.74846,151.26183 153.10648,161.47801 C 142.58179,169.48463 131.73766,178.89287 120.50926,189.97223 C 122.73766,179.03407 126.43982,167.65555 131.90509,155.80092"
d="M 162.24074,129.90741 C 171.97223,122.80556 181.34723,117.13889 190.4375,112.625 C 186.90277,122.3802 184.76852,131.96643 183.78703,141.39352 C 173.83643,146.86638 163.63118,153.47139 153.10648,161.47801 C 154.74846,151.26183 157.70371,140.74588 162.24074,129.90741"
d="M 190.4375,112.625 C 199.52777,108.11111 208.33333,104.75 216.92592,102.25926 C 214.45371,110.88992 213.20062,119.50514 212.93982,128.10185 C 203.43364,131.57993 193.73766,135.92065 183.78703,141.39352 C 184.76852,131.96643 186.90277,122.3802 190.4375,112.625"
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d="M 82.018524,261.5 C 94.376541,246.3714 106.33643,233.12398 117.95602,221.50116 C 118.3858,231.59419 120,241.28253 122.50926,250.60185 C 110.77777,262.51273 98.75,276.00174 86.375,291.3125 C 83.805557,281.875 82.25,271.95371 82.018524,261.5"
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