我有一组应该定义光滑表面的数据点。 X / Z以间隔指定,Y取决于Y / Z。
将点的位置四舍五入到固定公差范围内。
如果通过X或Z切片绘制一条曲线(例如样条曲线),则四舍五入会使曲线呈锯齿形或创建台阶。
例如,一组形成直线的线性值,当四舍五入为整数时,形成一个台阶:
1 1 2 2 3 instead of 1 1.5 2 2.5 3
要做的是公平地处理数据,将舍入后的值转换为能产生平滑曲线的实值,该平滑曲线将定义平滑表面而不会产生振荡。
有一些工具可以在2D上执行此操作。他们寻找2d导数的振荡。在我的案例中,这产生的问题是,沿X / Y曲线的光顺可能沿相交的Y / X曲线的光顺。我需要创建一些可以同时沿X / Y和Y / Z对齐的东西。
我想知道是否有人知道这样做的算法。
1392,175.8125,378
1296,161.0625,378
1128,231.375,725.5
1152,233.625,723.8125
1176,235.875,722.125
1200,238.25,720.4375
1224,240.5,718.875
1248,242.875,717.25
1272,245.375,715.625
1296,247.75,714.125
1320,250.25,712.5625
1344,252.8125,711.125
1368,255.375,709.5625
1392,258.0625,708.0625
1416,260.75,706.625
1440,263.5,705.25
1464,266.125,703.8125
1128,100.875,0
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1392,109.1875,0
1416,109.8125,0
1440,110.4375,0
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1128,115.5,3
1152,116.75,3
1176,117.8125,3
1200,118.875,3
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1296,123,3
1320,124,3
1344,125,3
1368,126,3
1392,126.875,3
1416,127.875,3
1440,128.875,3
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1128,122.25,6
1152,123.4375,6
1176,124.5625,6
1200,125.75,6
1224,126.875,6
1248,128,6
1272,129.125,6
1296,130.25,6
1320,131.375,6
1344,132.4375,6
1368,133.5,6
1392,134.5625,6
1416,135.625,6
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1128,131.375,12
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1392,145,12
1416,146.1875,12
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1464,148.5,12
1128,144.9375,24
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1176,147.5,24
1200,148.75,24
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1248,151.4375,24
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1296,154.125,24
1320,155.4375,24
1344,156.75,24
1368,158,24
1392,159.25,24
1416,160.5625,24
1440,161.875,24
1464,163.125,24
1128,161.625,48
1152,162.8125,48
1176,164.1875,48
1200,165.625,48
1224,166.9375,48
1248,168.3125,48
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1296,171.25,48
1320,172.6875,48
1344,174,48
1368,175.375,48
1392,176.75,48
1416,178.1875,48
1440,179.625,48
1464,181.0625,48
1128,168.75,72
1152,170.25,72
1176,171.75,72
1200,173.25,72
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1248,176.375,72
1272,178,72
1296,179.5,72
1320,181.1875,72
1344,182.75,72
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1392,185.8125,72
1416,187.5,72
1440,189.125,72
1464,190.75,72
1128,170.1875,96
1152,171.875,96
1176,173.5,96
1200,175.25,96
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1296,182.25,96
1320,184,96
1344,185.75,96
1368,187.5625,96
1392,189.3125,96
1416,191.125,96
1440,193,96
1464,194.9375,96
1128,169.0625,120
1152,170.8125,120
1176,172.75,120
1200,174.625,120
1224,176.5,120
1248,178.375,120
1272,180.3125,120
1296,182.625,120
1320,184.25,120
1344,186.25,120
1368,188.125,120
1392,190.1875,120
1416,192.125,120
1440,194.25,120
1464,196.3125,120
1128,166.625,144
1152,168.625,144
1176,170.625,144
1200,172.625,144
1224,174.75,144
1248,176.75,144
1272,178.8125,144
1296,181,144
1320,183.0625,144
1344,185.25,144
1368,187.4375,144
1392,189.5,144
1416,191.75,144
1440,194,144
1464,196.3125,144
1128,163.75,168
1152,165.75,168
1176,168,168
1200,170.1875,168
1224,172.4375,168
1248,174.625,168
1272,176.75,168
1296,179.125,168
1320,181.375,168
1344,183.625,168
1368,186,168
1392,188.625,168
1416,190.75,168
1440,193.125,168
1464,195.625,168
1128,160.5625,192
1152,162.875,192
1176,165.1875,192
1200,167.5,192
1224,169.875,192
1248,172.25,192
1272,174.625,192
1296,177.0625,192
1320,179.4375,192
1344,181.9375,192
1368,184.4375,192
1392,186.875,192
1416,189.5,192
1440,192.0625,192
1464,194.6875,192
1128,157.3125,216
1152,159.8125,216
1176,162.3125,216
1200,164.8125,216
1224,167.25,216
1248,169.6875,216
1272,172.3125,216
1296,174.875,216
1320,177.3125,216
1344,179.9375,216
1368,182.625,216
1392,185.25,216
1416,188,216
1440,190.8125,216
1464,193.5625,216
1128,154.1875,240
1152,156.75,240
1176,159.375,240
1200,161.9375,240
1224,164.5,240
1248,167.1875,240
1272,169.875,240
1296,172.625,240
1320,175.4375,240
1344,178.0625,240
1368,180.875,240
1392,183.6875,240
1416,186.5,240
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1128,151,264
1152,153.6875,264
1176,156.4375,264
1200,159.125,264
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1296,170.3125,264
1320,173.25,264
1344,176.125,264
1368,179.125,264
1392,182.0625,264
1416,185.125,264
1440,188.1875,264
1464,191.3125,264
1128,147.6875,288
1152,150.5,288
1176,153.3125,288
1200,156.1875,288
1224,159.125,288
1248,162.0625,288
1272,165.0625,288
1296,168.125,288
1320,171.1875,288
1344,174.25,288
1368,177.3125,288
1392,180.5,288
1416,183.6875,288
1440,186.9375,288
1464,190.25,288
1128,143.625,318
1152,146.6875,318
1176,149.6875,318
1200,152.75,318
1224,155.875,318
1248,159,318
1272,162.25,318
1296,165.625,318
1320,168.875,318
1344,172.125,318
1368,175.375,318
1392,178.75,318
1416,182.125,318
1440,185.6875,318
1464,189.1875,318
1128,139.875,348
1152,143.125,348
1176,146.3125,348
1200,149.5,348
1224,152.9375,348
1248,156.1875,348
1272,159.75,348
1296,163.1875,348
1320,166.625,348
1344,170.125,348
1368,173.75,348
1392,177.125,348
1416,180.75,348
1440,184.5,348
1464,188.25,348
1128,136.25,378
1152,139.6875,378
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1200,146.5625,378
1224,150.125,378
1248,153.6875,378
1272,157.375,378
1320,164.6875,378
1344,168.3125,378
1368,172.0625,378
1416,179.625,378
1440,183.5,378
1464,187.4375,378
1128,132.5625,415.25
1152,136.125,415.25
1176,139.8125,415.25
1200,143.4375,415.25
1224,147.1875,415.25
1248,151,415.25
1272,154.875,415.25
1296,158.6875,415.25
1320,162.625,415.25
1344,166.5625,415.25
1368,170.5,415.25
1392,174.375,415.25
1416,178.5625,415.25
1440,182.6875,415.25
1464,186.875,415.25
1128,130.9375,444
1152,134.625,444
1176,138.625,444
1200,142.1875,444
1224,146,444
1248,149.9375,444
1272,153.9375,444
1296,157.9375,444
1320,162,444
1344,166,444
1368,170.125,444
1392,174.25,444
1416,178.375,444
1440,182.625,444
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1320,162.875,474
1344,166.9375,474
1368,171.25,474
1392,175.5,474
1416,179.75,474
1440,184,474
1464,188.375,474
1128,132.1875,501
1152,136.125,501
1176,140.125,501
1200,144.1875,501
1224,148.25,501
1248,152.375,501
1272,156.5,501
1296,160.75,501
1320,165,501
1344,169.25,501
1368,173.5625,501
1392,177.75,501
1416,182.3125,501
1440,186.75,501
1464,191.125,501
1128,135.25,528
1152,139.375,528
1176,143.375,528
1200,147.5,528
1224,151.625,528
1248,155.8125,528
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1296,164.25,528
1320,168.625,528
1344,172.875,528
1368,177.25,528
1392,181.625,528
1416,186.25,528
1440,190.625,528
1464,195.125,528
1128,142.125,564
1152,146.25,564
1176,150.4375,564
1200,154.5625,564
1224,158.6875,564
1248,162.9375,564
1272,167.1875,564
1296,171.5,564
1320,176.0625,564
1344,180.375,564
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1392,189.25,564
1416,193.75,564
1440,198.3125,564
1464,202.8125,564
1128,153.4375,600
1152,157.5,600
1176,161.75,600
1200,165.9375,600
1224,170.125,600
1248,174.25,600
1272,178.625,600
1296,182.9375,600
1320,187.25,600
1344,191.625,600
1368,196,600
1392,200.375,600
1416,204.75,600
1440,209.25,600
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1152,173.4375,636
1176,177.5625,636
1200,181.6875,636
1224,185.875,636
1248,190.0625,636
1272,194.25,636
1296,198.375,636
1320,202.375,636
1344,206.75,636
1368,211,636
1392,215.3125,636
1416,219.5,636
1440,223.8125,636
1464,228.0625,636
1128,190.25,672
1152,194.1875,672
1176,198.25,672
1200,202.125,672
1224,206.1875,672
1248,210.125,672
1272,214.1875,672
1296,218.1875,672
1320,222.1875,672
1344,226.25,672
1368,230.3125,672
1392,234.375,672
1416,238.375,672
1440,242.5,672
1464,246.5625,672
1128,207.0625,696
1152,211,696
1176,214.875,696
1200,218.75,696
1224,222.625,696
1248,226.5625,696
1272,230.4375,696
1296,234.3125,696
1320,238.125,696
1344,242,696
1368,245.75,696
1392,249.75,696
1416,253.5,696
1440,257.375,696
1464,261.125,696