跪求五点三次平滑公式和七点五次平滑公式？
答案:1 悬赏:50 手机版
解决时间 2021-02-01 19:30
- 提问者网友：战魂
- 2021-02-01 00:37
跪求五点三次平滑公式和七点五次平滑公式？
最佳答案
- 五星知识达人网友：廢物販賣機
- 2021-02-01 02:03
五点三次平滑法(cubical smoothing algorithm with five-point approximation)
Y=a0+a1x+a2x^2+a3x^3 三次多项式拟合:
yo(-2)=(69*yi(-2)+4*yi(-1)-6*yi(0)+4*yi(1)-yi(2))/70
yo(-1)=(2*yi(-2)+27*yi(-1)+12*yi(0)-8*yi(1)+2*yi(2))/35
yo(0) =(-3*yi(-2)+12*yi(-1)+17*yi(0)+12*yi(1)-3*yi(2))/35 (除了前两项和后两项外，都可用此式)
yo(1) =(2*yi(-2)-8*yi(-1)+12*yi(0)+27*yi(1)+2*yi(2))/35
yo(2) =(-yi(-2)+4*yi(-1)-6*yi(0)+4*yi(1)+69*yi(2))/70
七点三次平滑法：yo(0) =(-2*yi(-3)+3*yi(-2)+6*yi(-1)+7*yi(0)+6*yi(1)+3*yi(2)-2*yi(3))/21
Y=a0+a1x+a2x^2+a3x^3 三次多项式拟合:
yo(-2)=(69*yi(-2)+4*yi(-1)-6*yi(0)+4*yi(1)-yi(2))/70
yo(-1)=(2*yi(-2)+27*yi(-1)+12*yi(0)-8*yi(1)+2*yi(2))/35
yo(0) =(-3*yi(-2)+12*yi(-1)+17*yi(0)+12*yi(1)-3*yi(2))/35 (除了前两项和后两项外，都可用此式)
yo(1) =(2*yi(-2)-8*yi(-1)+12*yi(0)+27*yi(1)+2*yi(2))/35
yo(2) =(-yi(-2)+4*yi(-1)-6*yi(0)+4*yi(1)+69*yi(2))/70
七点三次平滑法：yo(0) =(-2*yi(-3)+3*yi(-2)+6*yi(-1)+7*yi(0)+6*yi(1)+3*yi(2)-2*yi(3))/21
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