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¶÷ ¶ÔµÄ£¬¾ßÌåµÄ·½·¨¿ÉÒÔÓÉcflibhelpµÃµ½~ ×£ÄãºÃÔË For curves: GROUP DESCRIPTION distribution - distribution models such as Weibull exponential - exponential function and sum of two exponential functions fourier - up to eight terms of fourier series gaussian - sum of up to eight gaussian models power - power function and sum of two power functions rational - rational equation models, up to 5th degree / 5th degree sin - sum of up to eight sin functions spline - splines interpolant - interpolating models polynomial - polynomial models up to degree nine For surfaces: GROUP DESCRIPTION interpolant - interpolating models polynomial - polynomial models up to degree five lowess - lowess smoothing models To list only the model equations for a group, type CFLIBHELP followed by the group name. Example: cflibhelp polynomial All models in the Curve Fitting Library: DISTRIBUTION MODELS MODELNAME EQUATION weibull Y = a*b*x^(b-1)*exp(-a*x^b) EXPONENTIAL MODELS MODELNAME EQUATION exp1 Y = a*exp(b*x) exp2 Y = a*exp(b*x)+c*exp(d*x) FOURIER SERIES MODELNAME EQUATION fourier1 Y = a0+a1*cos(x*p)+b1*sin(x*p) fourier2 Y = a0+a1*cos(x*p)+b1*sin(x*p)+a2*cos(2*x*p)+b2*sin(2*x*p) fourier3 Y = a0+a1*cos(x*p)+b1*sin(x*p)+...+a3*cos(3*x*p)+b3*sin(3*x*p) ... fourier8 Y = a0+a1*cos(x*p)+b1*sin(x*p)+...+a8*cos(8*x*p)+b8*sin(8*x*p) where p = 2*pi/(max(xdata)-min(xdata)). GAUSSIAN SUMS (Peak fitting) MODELNAME EQUATION gauss1 Y = a1*exp(-((x-b1)/c1)^2) gauss2 Y = a1*exp(-((x-b1)/c1)^2)+a2*exp(-((x-b2)/c2)^2) gauss3 Y = a1*exp(-((x-b1)/c1)^2)+...+a3*exp(-((x-b3)/c3)^2) ... gauss8 Y = a1*exp(-((x-b1)/c1)^2)+...+a8*exp(-((x-b8)/c8)^2) INTERPOLANT INTERPTYPE DESCRIPTION Curves & Surfaces: linearinterp linear interpolation nearestinterp nearest neighbor interpolation cubicinterp cubic spline interpolation Curves Only: pchipinterp shape-preserving (pchip) interpolation Surfaces Only: biharmonicinterp biharmonic (MATLAB 4 griddata) interpolation POLYNOMIAL MODELS MODELNAME EQUATION Curves: poly1 Y = p1*x+p2 poly2 Y = p1*x^2+p2*x+p3 poly3 Y = p1*x^3+p2*x^2+...+p4 ... poly9 Y = p1*x^9+p2*x^8+...+p10 Surfaces: Model names for polynomial surfaces are 'polyij', where i is the degree in x and j is the degree in y. The maximum for both i and j is five. The degree of the polynomial is the maximum of i and j. The degree of x in each term will be less than or equal to i, and the degree of y in each term will be less than or equal to j. For example: poly21 Z = p00 + p10*x + p01*y + p20*x^2 + p11*x*y poly13 Z = p00 + p10*x + p01*y + p11*x*y + p02*y^2 + p12*x*y^2 + p03*y^3 poly55 Z = p00 + p10*x + p01*y +...+ p14*x*y^4 + p05*y^5 POWER MODELS MODELNAME EQUATION power1 Y = a*x^b power2 Y = a*x^b+c RATIONAL MODELS Rational Models are polynomials over polynomials with the leading coefficient of the denominator set to 1. Model names are 'ratij', where i is the degree of the numerator and j is the degree of the denominator. The degrees go up to five for both the numerator and the denominator. For example: MODELNAME EQUATION rat02 Y = (p1)/(x^2+q1*x+q2) rat21 Y = (p1*x^2+p2*x+p3)/(x+q1) rat55 Y = (p1*x^5+...+p6)/(x^5+...+q5) SUM OF SINE FUNCTIONS MODELNAME EQUATION sin1 Y = a1*sin(b1*x+c1) sin2 Y = a1*sin(b1*x+c1)+a2*sin(b2*x+c2) sin3 Y = a1*sin(b1*x+c1)+...+a3*sin(b3*x+c3) ... sin8 Y = a1*sin(b1*x+c1)+...+a8*sin(b8*x+c8) SPLINES Spline models are only supported for curve fitting, not for surface fitting SPLINETYPE DESCRIPTION cubicspline cubic interpolating spline smoothingspline smoothing spline LOWESS Lowess models are only supported for surface fitting, not for curve fitting MODELNAME DESCRIPTION lowess local linear regression loess local quadratic regression |
5Â¥2010-12-20 20:56:45














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