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Method for detecting inflection points of curves in real time on basis of curvature

A technology of real-time detection and curve inflection point, which is applied in the direction of instrumentation, computing, electrical digital data processing, etc., can solve the problems of real-time curve inflection point misjudgment, inflection point misjudgment, inflection point missed judgment, etc., and achieve the effect of improving inflection point detection performance

Inactive Publication Date: 2016-07-06
NANJING UNIV OF SCI & TECH
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Problems solved by technology

However, this method will lead to misjudgment and missed judgment of the inflection point of the real-time curve. Neighborhood radius needs to be adjusted in real time, so the inflection point will be missed; (2) The measured value obtained by the ordinary system usually jitters in a small range on both sides of the real value, and the probability of two adjacent differential values ​​having different signs is high , a misjudgment of the inflection point will occur

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  • Method for detecting inflection points of curves in real time on basis of curvature
  • Method for detecting inflection points of curves in real time on basis of curvature
  • Method for detecting inflection points of curves in real time on basis of curvature

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Embodiment Construction

[0029] combine figure 1 , the present invention is based on the curvature of the real-time detection curve inflection point method comprising the following steps:

[0030] The first step is to select three points P on the measurement curve to be measured n-2r ,P n-r ,P n , where P n is the current point, P n-2r ,P n-r is the current point P n Based on the two points obtained forward, point P n-2r ,P n-r ,P n The coordinates of are shown in formula (1),

[0031] P n-2r = [n-2r, θ n-2r ], P n-r =[n-r, θ n-r ], P n = [n, theta n ](1)

[0032] In formula (1), r is the neighborhood radius, and the empirical value is r=2; θ n is the measured value of this time, and n>2r, n∈N + , N + is a positive integer; among the coordinates of the three points, the ordinate is the measured value, P n-2r ,P n-r The ordinate θ of n-2r and θ n-r Respectively, according to the neighborhood radius r in this measurement value θ n Obtained by taking the value forward on the basis...

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Abstract

The invention proposes a method for detecting the inflection point of a curve in real time based on the curvature. Select three points on the measurement curve to be measured, one of which is the current point, and the other two points are two points obtained forward based on the current point; preprocess the coordinate values ​​of the three selected points; Calculate the curvature corresponding to the coordinates of the three selected points; if the curvature value is greater than the radius of the neighborhood, it is judged that the position of the current point is the inflection point of the measurement curve. The invention can avoid misjudgment or missed judgment, and improves the performance of inflection point detection.

Description

technical field [0001] The invention belongs to the technical field of real-time measurement curve detection, and in particular relates to a method for real-time detection of curve inflection points based on curvature. Background technique [0002] The common way to find the inflection point is to take the derivative for the continuous signal and take the difference for the discrete signal. In a real-time system, to obtain the inflection point of the curve to be measured, the commonly used method is differential inflection point detection, that is, to calculate a backward difference between the current measured value and the measured value obtained in the previous cycle, and then judge the difference value. If the difference value of this time is in a small neighborhood centered on 0, or if the difference value of this time is different from the last difference value, it can be determined that an inflection point appears on the curve to be measured at this time. However, th...

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Application Information

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IPC IPC(8): G06F17/50
Inventor 蒋兵兵韩玉兵张仁李李静盛卫星马晓峰
Owner NANJING UNIV OF SCI & TECH
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