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Scaling

Scaling

In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...

Relative Motion Analysis using Rotating Axes - Acceleration

Relative Motion Analysis using Rotating Axes - Acceleration

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...

Relative Motion Analysis - Acceleration

Relative Motion Analysis - Acceleration

A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...

Kinematic Equations - II

Kinematic Equations - II

The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...

Relative Motion Analysis - Velocity

Relative Motion Analysis - Velocity

A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
When an external force is exerted, it sets the crank into a rotational movement. This, in turn, instigates the motion of the connecting rod, leading to what is referred to as a general plane motion. This process involves two key points - point A on the connecting rod...

Curvilinear Motion: Rectangular Components

Curvilinear Motion: Rectangular Components

Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...

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Related Experiment Video

Updated: Dec 26, 2025

Author Spotlight: Efficient Image Recognition Using Directional Gradient Histogram Technique and Support Vector Machines

Author Spotlight: Efficient Image Recognition Using Directional Gradient Histogram Technique and Support Vector Machines

Published on: January 5, 2024

Car speed estimation based on image scale factor.

Luciano R Costa¹, Michelle S Rauen¹, Andressa B Fronza¹

¹Instituto Geral de Perícias de Santa Catarina, Rua Pastor William Richard Schisler Filho, 590 - Bairro Itacorubi, Florianópolis, SC, Brazil(1).

Forensic Science International

|March 16, 2020

Summary

This summary is machine-generated.

This study introduces a novel video analysis method to estimate vehicle speed using the image scale factor. This technique offers a reliable alternative for traffic accident investigations.

Keywords:

Forensic science Photogrammetry Vehicle speed Video analysis

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Area of Science:

Forensic Science
Computer Vision
Traffic Engineering

Background:

Video analysis is a common method for vehicle speed estimation in traffic accidents.
Current methods often rely on on-site measurements or photogrammetric techniques.
There is a need for alternative, accessible methods for speed estimation.

Purpose of the Study:

To propose an alternative method for estimating vehicle speed using video analysis.
To calculate vehicle speed based on the image scale factor in pixels.
To validate the method's accuracy through simulations.

Main Methods:

Utilizing the 'image scale factor in pixels' to determine vehicle distance from the camera.
Analyzing longitudinal vehicle trajectories (approaching or receding).
Calculating average vehicle speed across different video frames.

Main Results:

The proposed method successfully estimated vehicle speed.
Simulations with known vehicle speeds showed small deviations, indicating accuracy.
The method demonstrated potential for forensic applications.

Conclusions:

The image scale factor method provides a viable alternative for vehicle speed estimation.
The technique is suitable for vehicles moving longitudinally relative to the camera.
The method's accuracy supports its use in forensic video analysis for traffic accidents.