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单词 Data fitting
释义

Data fitting

中文百科

曲线拟合 Curve fitting

(重定向自Data fitting)

曲线拟合,俗称拉曲线,是一种把现有数据透过数学方法来代入一条数式的表示方式。科学和工程问题可以通过诸如采样、实验等方法获得若干离散的数据,根据这些数据,我们往往希望得到一个连续的函数(也就是曲线)或者更加密集的离散方程与已知数据相吻合,这过程就叫做拟合 (fitting)

本条目讲述如何透过拉曲线的方法来进行插值法运算及递归分析的基础。

英语百科

Curve fitting 曲线拟合

(重定向自Data fitting)
Fitting of a noisy curve by an asymmetrical peak model, with an iterative process (Gauss–Newton algorithm with variable damping factor α).  Top: raw data and model. Bottom: evolution of the normalised sum of the squares of the errors.
Polynomial curves fitting points generated with a sine function. 
Red line is a first degree polynomial, green line is second degree, orange line is third degree and blue is fourth degree
Circle fitting with the Coope method, the points describing a circle arc, centre (1 ; 1), radius 4.
different models of ellipse fitting

Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints. Curve fitting can involve either interpolation, where an exact fit to the data is required, or smoothing, in which a "smooth" function is constructed that approximately fits the data. A related topic is regression analysis, which focuses more on questions of statistical inference such as how much uncertainty is present in a curve that is fit to data observed with random errors. Fitted curves can be used as an aid for data visualization, to infer values of a function where no data are available, and to summarize the relationships among two or more variables. Extrapolation refers to the use of a fitted curve beyond the range of the observed data, and is subject to a degree of uncertainty since it may reflect the method used to construct the curve as much as it reflects the observed data.

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更新时间:2025/6/22 12:51:53