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[Algorithm] leastsquareellipse DL : 0: 至少输入五个点，得到最小二乘模拟椭圆，最后得到椭圆左右焦点以及主轴与x轴夹角等具体参数-[Xc,Yc,A,B,Phi,P]=ELLIPSEFIT(X,Y) finds the least squares ellipse that best fits the data in X and Y. X and Y must have at least 5 data points. Xc and Yc are the x- and y-axis center of the ellipse respectively.
Date : 2025-12-28 Size : 2kb User : nancy
[Algorithm] FRACTIONAL_DIFFERINTEGRAL DL : 0: 通过傅里叶扩展计算的微分和积分函数，十分有用。-Description The n-th order derivative or integral of a function defined in a given range [a,b] is calculated through Fourier series expansion, where n is any real number and not necessarily integer. The necessary integrations are performed with the Gauss-Legendre quadrature rule. Selection for the number of desired Fourier coefficient pairs is made as well as for the number of the Gauss-Legendre integration points. Unlike many publicly available functions, the Gauss integration points k can be calculated for k>=46. The algorithm does not rely on the build-in Matlab routine roots to determine the roots of the Legendre polynomial, but finds the roots by looking for the eigenvalues of an alternative version of the companion matrix of the k th degree Legendre polynomial. The companion matrix is constructed as a symmetrical matrix, guaranteeing that all the eigenvalues (roots) will be real. On the contrary, the roots function us
Date : 2025-12-28 Size : 235kb User : 111