Binomial fitting interpolation photoelectric tracing positioning calculation method

Abstract

The invention provides a binomial fitting interpolation photoelectric tracing positioning calculation method. The method is used for calculating the relative position between the photoelectric tracing module and the line. According to the process, all the photoelectric sensors are numbered at the beginning, the numbering rule is that the middle photoelectric sensor is zero, the first photoelectric sensor on the left side is negative first, the first photoelectric sensor on the right side is positive first, the second photoelectric sensor on the right side is positive second, and all the sensors are numbered in the same manner. After numbering is completed, measuring the photosensitive intensity of all the sensors through voltage measurement, and querying the sensor n corresponding to the minimum voltage value and the voltage value y (n) according to the measurement result. And simultaneously acquiring a voltage value y (n-1) of the sensor n-1 and a voltage value y (n + 1) of the sensor n + 1. And substituting into a binomial expression y = ax < 2 > + bx + c. And calculating values of a, b and c. According to a binomial optimal value calculation method, when a binomial derivative y '= 2ax + b = 0, the calculated sensor optimal position x =-2a / b.

Description

Technical Field

[0001] The present invention relates to a binomial fitting interpolation photoelectric tracing and positioning calculation method, belonging to the field of electronic product applications. Background Art

[0002] Photoelectric tracing and positioning uses photoelectric sensors to detect and track specific light sources or reflected light. In various fields, such as robot navigation, automatic control systems, and military target tracking, photoelectric tracing is a commonly used method. In the fields of data processing and signal processing, binomial fitting is a mathematical method used to find the polynomial function that best represents a data set. This method works by minimizing the difference between the actual data points and the fitting curve. In a photoelectric tracing system, binomial fitting can be used to optimize the interpretation of sensor data, thereby improving the tracking accuracy. The binomial fitting interpolation method is mainly used in photoelectric tracing and positioning calculations to improve the accuracy of tracking targets and the response speed of the system. This method optimizes data processing through a mathematical model, enabling the system to more accurately estimate the target position, thereby maintaining high efficiency and accuracy in complex or high-speed application scenarios. Summary of the Invention

[0003] The purpose of the present invention is to provide a binomial fitting interpolation photoelectric tracing and positioning calculation method for position calculation during the photoelectric tracing process.

[0004] The specific technical solution adopted by the present invention is as follows: When starting, all photoelectric sensors are numbered. The numbering rule is that the middle one is numbered 0, the first one on the left is numbered -1, the first one on the right is numbered +1, the second one on the right is numbered +2, and so on for all sensors. After numbering, the light-sensitive intensity of all sensors is measured using voltage measurement, and the sensor n corresponding to the lowest voltage value and the voltage value y(n) are queried from the measurement results. At the same time, the voltage value y(n - 1) of sensor n - 1 and the voltage value y(n + 1) of sensor n + 1 are obtained. Then, substitute into the binomial y = ax2 + bx + c. Calculate the values of a, b, and c. According to the binomial optimal value calculation method, when the binomial derivative y’ = 2ax + b = 0, the optimal position x of the sensor is calculated as x = -2a / b. Description of the Drawings

[0005] Figure 1 It is a binomial fitting interpolation photoelectric tracing and positioning calculation method of this patent. Embodiment

[0006] The following further describes the present invention with reference to the drawings.

[0007] The application method of the present invention is as follows: Number all the photoelectric sensors. The numbering rule is that the one in the middle is numbered 0, the first one on the left is numbered -1, the first one on the right is numbered +1, the second one on the right is numbered +2, and so on to number all the sensors. After numbering, measure the light-sensing intensity of all sensors using voltage measurement, and query the sensor n corresponding to the lowest voltage value and the voltage value y(n) from the measurement results. At the same time, obtain the voltage value y(n - 1) of sensor n - 1 and the voltage value y(n + 1) of sensor n + 1. Then substitute them into the quadratic equation y = ax2 + bx + c. Calculate the values of a, b, and c. According to the optimal value calculation method of the quadratic equation, when the derivative of the quadratic equation y’ = 2ax + b = 0, the optimal position x of the sensor is calculated as x = -2a / b.

[0008] The feature of this usage method is: In the first step, first find the lowest value, and then find the two sensors near the lowest value. Therefore, it can be determined that there must be a minimum value near the lowest value. Substitute the three values into a quadratic equation y = ax 2 + bx + c. Use the three known values to find the three unknowns a, b, and c. Since there is a maximum value when the derivative is zero, the optimal position of the photoelectric sensor can be calculated as x = -2a / b.

Claims

1. A binomial fitting interpolation optoelectronic tracing positioning calculation method, which is used to calculate the relative position between the optoelectronic tracing module and the line. The process is as follows: when starting, all optoelectronic sensors are numbered. The numbering rule is that the middle one is numbered 0, the first one on the left is numbered -1, the first one on the right is numbered +1, the second one on the right is numbered +2, and so on for all sensors. After numbering, the light-sensing intensity of all sensors is measured using voltage measurement. From the measurement results, the sensor n corresponding to the lowest voltage value and the voltage value y(n) are queried. At the same time, the voltage value y(n - 1) of sensor n - 1 and the voltage value y(n + 1) of sensor n + 1 are obtained, and then substituted into the binomial y = ax 2 + bx + c 。 Calculate the values of a, b, and c. According to the binomial optimal value calculation method, when the binomial derivative y’ = 2ax + b = 0, the optimal position x of the sensor calculated is x = -2a / b.

2. A binomial fitting interpolation photoelectric tracing positioning calculation method according to claim 1, which requires the use of the formula y = ax 2 + bx + c.

3. According to the binomial fitting interpolation photoelectric tracing positioning calculation method described in claim 1, the required result is that the optimal position x of the sensor is x = -2a / b.

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