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Application and Practice Analysis of Static Positioning Measurement Principles
Abstract: Static positioning is a commonly used measurement technology, which achieves by collecting the relative position information of target objects. Positioning of target objects. This article will discuss the principles of static positioning measurement and conduct in-depth analysis based on actual cases. At the same time, this article will also give specific code examples to help readers better understand and apply the principles of static positioning measurement.
1. Concept and classification of static positioning measurement principles
Static positioning is a positioning technology based on measurement principles. It determines the specific location of the target object by collecting the relative position information of the target object. There are three main methods commonly used for static positioning measurement: multi-point positioning, angle measurement and distance measurement.
2. Application Case Analysis of Static Positioning Measurement Principle
The following will take a vehicle positioning system as an example to analyze the application of static positioning measurement principle.
By collecting the distance between the vehicle and point A, point B and point C, we can use the principle of triangulation to calculate the position of the vehicle. Suppose we measure the distances between the vehicle and point A, point B and point C as d1, d2 and d3 respectively. We also need to know that the coordinates of point A, point B and point C are (x1, y1), (x2, y2) and (x3, y3) respectively. According to the properties of triangles, we can calculate the coordinates of the vehicle by the following formula:
x = (d1^2 - d2^2 x2^2 - x1^2 y2^2 - y1^2) / (2 * (x2 - x1))
y = (d1^2 - d3^2 x3^2 - x1^2 y3^2 - y1^2) / (2 * (y3 - y1))
By measuring the angles between the vehicle and points A, B, and C, we can calculate the vehicle's heading angle. Assuming that the measured angles between the vehicle and point A, point B and point C are α1, α2 and α3 respectively, we can calculate the vehicle's orientation angle θ as:
θ = atan2((y3 - y1), (x3 - x1))
Through these calculations, we can get the position and orientation information of the vehicle in space.
3. Specific code example
The following is a simple Python code example that demonstrates how to use the multi-point positioning method to calculate the position of the target object.
import math def calculate_position(d1, d2, d3, x1, y1, x2, y2, x3, y3): x = (d1**2 - d2**2 + x2**2 - x1**2 + y2**2 - y1**2) / (2 * (x2 - x1)) y = (d1**2 - d3**2 + x3**2 - x1**2 + y3**2 - y1**2) / (2 * (y3 - y1)) return (x, y) def calculate_heading(x1, y1, x3, y3): theta = math.atan2((y3 - y1), (x3 - x1)) return theta # Example usage d1 = 5 d2 = 3 d3 = 4 x1 = 0 y1 = 0 x2 = 0 y2 = 5 x3 = 5 y3 = 0 position = calculate_position(d1, d2, d3, x1, y1, x2, y2, x3, y3) heading = calculate_heading(x1, y1, x3, y3) print("Position: ", position) print("Heading: ", heading)
This code calculates and outputs the position and orientation angle of the vehicle by passing in the distance between the vehicle and the reference point and the coordinates of the reference point.
Summary: This article conducts an in-depth analysis of the principle of static positioning measurement and illustrates it through a practical application case of a vehicle positioning system. At the same time, this article also gives a Python code example to help readers better understand and apply the principle of static positioning measurement. Static positioning measurement technology has broad application prospects in practical applications. Readers can design and implement more complex positioning systems based on their actual needs and combined with the principles described in this article.
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