gaussfitn

版本 1.1.2 (3.1 KB) 作者: Matt J

Fit N-dimensional scattered points with Gaussian+constant

关注

5.0

(1)

558.0 次下载

更新时间 2022/8/11

查看许可证

This function uses lsqcurvefit to fit parameters D, A, mu, sig to the R^N-->R

Gaussian+constant model function,

z(x) = D + A*exp( -0.5 * (x-mu).' * inv(sig) *(x-mu) )

Here A and D are unknown scalars, mu is an unknown Nx1 mean vector, and sig is an

unknown NxN covariance matrix. By imposing lower and upper bounds 0<=D<=0 (see below), this can also be used to perform pure Gaussian fitting.

SYNTAX:

[params,resnorm, residual,exitflag,output] = gaussfitn(xdata,zdata,params0,LB,UB,Name,Value)

INPUTS (required):

xdata: MxN matrix whose rows specify M scattered samples in R^N

zdata: Mx1 vector of corresponding samples z(xdata)

INPUTS (optional)

params0: Cell array of initial parameter estimates {D0,A0,mu0,sig0}.

Can also be empty [] in which case default initial guesses

are autogenerated. Can also consist of cell array of empty

and non-empty elements like {D0,[],mu0,[]} in which case

default initial guesses are generated for select parameters.

LB: Cell array of lower bounds {D_LB, A_LB, mu_LB} on D, A, and mu.

UB: Cell array of upper bounds {D_UB, A_UB, mu_UB} on D, A, and mu.

Name,Value: Name/Value option pairs compatible with lsqcurvefit. See,

<https://www.mathworks.com/help/optim/ug/lsqcurvefit.html#buuhcjo-options>.

By default, however, SpecifyConstraintGradient=true unless

over-ridden.

OUTPUTS:

params: Final estimate of the parameters as a cell array {D,A,mu,sig}

resnorm: As in lsqcurvefit

residual: As in lsqcurvefit

exitflag: As in lsqcurvefit

output: As in lsqcurvefit

引用格式

Matt J (2024). gaussfitn (https://www.mathworks.com/matlabcentral/fileexchange/69116-gaussfitn), MATLAB Central File Exchange. 检索来源 2024/7/23.

MATLAB 版本兼容性

创建方式 R2018a

与 R2016b 及更高版本兼容

平台兼容性

Windows macOS Linux

类别

MATLAB > Mathematics > Numerical Integration and Differential Equations > Ordinary Differential Equations >

在 Help Center 和 MATLAB Answers 中查找有关 Ordinary Differential Equations 的更多信息

标签添加标签

致谢

参考作品: 2D Rotated Gaussian Fit, Fit 2D gaussian function to data, Fit 2D Gaussian with Optimization Toolbox, Fit 1D and 2D gaussian to noisy data

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

gaussfitn

版本	已发布	发行说明
1.1.2	2022/8/11	Typo correction	下载
1.1.1	2018/10/22	Small fix to the improved mu0/sig0 estimation method	下载
1.1.0	2018/10/22	Improved initial guesses of mu0 and sig0.	下载
1.0.2	2018/10/19	No change	下载
1.0.1	2018/10/15	Description modification	下载
1.0.0	2018/10/15		下载

gaussfitn