Method and equipment for solving bivariate error-containing straight line fitting problem

A straight-line fitting and bivariate technique, applied in the field of survey adjustment, can solve problems such as complex mathematical models and iterative formats, which are not fully utilized

Pending Publication Date: 2019-09-10
NO 63921 UNIT OF PLA
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Problems solved by technology

[0004] Although the straight line fitting problem in the case of bivariate errors can be solved correctly by the theory and model of WTLS, its mathematical model and iterative format are complicated, and the characteristics of this special case and the advantages of classical adjustment theory are not fully utilized.

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  • Method and equipment for solving bivariate error-containing straight line fitting problem
  • Method and equipment for solving bivariate error-containing straight line fitting problem
  • Method and equipment for solving bivariate error-containing straight line fitting problem

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Embodiment Construction

[0065] The present invention proposes a new straight line fitting method aiming at the problem of bivariate straight line fitting with error. The method adopts the principle of indirect adjustment to obtain the best estimation of the slope and intercept of the straight line and completes the accuracy evaluation.

[0066] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0067] figure 1 is a flowchart of a method for solving a bivariate error-containing straight line fitting problem according to the present invention. Such as figure 1 As shown, the method 100 of the present invention first begins to execute step 101, and in this step, the function model and the stochastic model of the indirect adjustment are established; then the method 100 enters into the 102 step, and in this step, the initialization parameter X 0 and solve for the parameter correction Method 100 then proceeds to step 103, whe...

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Abstract

The invention provides a method and equipment for solving bivariate error-containing straight line fitting problem. The method comprises the following steps: establishing a function model and a randommodel of indirect adjustment; initializing X0 and solving a parameter correction amount; updating the parameter estimation value and carrying out iterative solution until convergence; and performingprecision assessment. By means of the scheme, the problem of optimal estimation of the linear slope and the intercept under the condition that bivariates contain errors is solved, and precision evaluation is completed. According to the method, a complex model and an iteration format of a weighted overall least squares (WTLS) method are avoided, the model is clear, the mathematical form is simple,and programming calculation is easy.

Description

technical field [0001] The present invention relates generally to the field of survey adjustments. More specifically, the present invention relates to a method and apparatus for solving a bivariate error-containing straight line fitting problem. Background technique [0002] Straight line fitting is often encountered in various data analysis or processing, it can be described as: for a given set of observation data (x i ,y i ), (i=1, 2, . For the above problem, if the observed value of the independent variable x does not contain errors (only the observed value of y contains errors), then y=kx+b can be directly used as the observation model and solved by the classical least squares adjustment theory. However, if the observed values ​​of x and y contain errors, the line fitting problem becomes more complicated, and the above observation model is no longer applicable. [0003] In fact, the problem of straight line fitting with errors in two variables is a special case of th...

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Application Information

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IPC IPC(8): G06F17/10
CPCG06F17/10
Inventor 徐得珍徐双敬李海涛李赞
Owner NO 63921 UNIT OF PLA
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