VATECH 허승현 CURVE FITTING(08.01.28)
PROBLEM XLS DATA MATLAB X->Y , Y->X 변환. Curve Fitting ToolBox v1.0 이용 X가 0인 지점에서 음수가 아닌 수 식을 찾는다.
PROBLEM 해석 Linear model Poly9 X = 0.1 인 지점에서의 값 : -0.2218
Solve1 해석 1st data = 0 두고 Linear model Poly9 X=0.09 에서의 값 -0.003817
Solve2 해석 완전한 볼 팬텀
Solve2 해석 완전한 볼 팬텀 Curve Fitting.
Solve3 해석 영점에 접하고 미분 가능한 Curve fitting 수식을 찾는다.
Solve3 해석 3 Order CFit_1(x) = a*x+b*x^2+c*x^3 Coefficients (with 95% confidence bounds): a = 6.684e-011 (-0.1193, 0.1193) b = 0.05754 (0.0566, 0.05847) c = -6.649e-014 (-0.0001223, 0.0001223)
Solve3 해석 4 Order CFit_2(x) = a*x+b*x^2+c*x^3+d*x^4 Coefficients (with 95% confidence bounds): a = 5.269e-010 (-0.01569, 0.01569) b = -0.00238 (-0.003031, -0.001729) c = -5.246e-013 (-1.609e-005, 1.609e-005) d = 5.961e-005 (5.898e-005, 6.025e-005)
Solve3 해석 5 Order CFit_3(x) = a*x+b*x^2+c*x^3+d*x^4+e*x^5 Coefficients (with 95% confidence bounds): a = 1.625e-009 (-0.03711, 0.03711) b = -0.00238 (-0.003031, -0.001728) c = -3.911e-012 (-9.271e-005, 9.271e-005) d = 5.961e-005 (5.898e-005, 6.025e-005) e = 2.201e-015 (-5.55e-008, 5.55e-008)
Solve3 해석 5 Order CFit_4(x) = a*x+b*x^2+c*x^3+d*x^4+e*x^5+f*x^6 Coefficients (with 95% confidence bounds): a = 0.1472 (0.1341, 0.1603) b = 0.01977 (0.01909, 0.02045) c = -0.000345 (-0.0003778, -0.0003122) d = 6.591e-006 (5.029e-006, 8.152e-006) e = 1.846e-007 (1.65e-007, 2.043e-007) f = 2.974e-008 (2.887e-008, 3.061e-008)