What is Motion analysis: Definition and 23 Discussions

Motion analysis is used in computer vision, image processing, high-speed photography and machine vision that studies methods and applications in which two or more consecutive images from an image sequences, e.g., produced by a video camera or high-speed camera, are processed to produce information based on the apparent motion in the images. In some applications, the camera is fixed relative to the scene and objects are moving around in the scene, in some applications the scene is more or less fixed and the camera is moving, and in some cases both the camera and the scene are moving.
The motion analysis processing can in the simplest case be to detect motion, i.e., find the points in the image where something is moving. More complex types of processing can be to track a specific object in the image over time, to group points that belong to the same rigid object that is moving in the scene, or to determine the magnitude and direction of the motion of every point in the image. The information that is produced is often related to a specific image in the sequence, corresponding to a specific time-point, but then depends also on the neighboring images. This means that motion analysis can produce time-dependent information about motion.
Applications of motion analysis can be found in rather diverse areas, such as surveillance, medicine, film industry, automotive crash safety, ballistic firearm studies, biological science, flame propagation, and navigation of autonomous vehicles to name a few examples.

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  1. J

    Deriving a mathematical model for a stick falling over

    this is how far i have come with my model, i am trying to first the most simple model, meaning no friction involved and then testing that against an actual stick falling by using tracking software. I am currently stuck as my model still has an acceleration in the y direction that i cannot seem...
  2. vinicius_linhares

    Analysis of the Ground Function: f(x) with $$f''(\bar{x})=0$$

    If f(x) is the function of the "ground": My first assumption is that in a certain $$\bar{x}$$, $$f''(\bar{x})=0$$, and from that point I will analyse the situation. The object has initial energy $$E_0=\frac{mv^2}{2}+mgf(x),$$ then $$v=\sqrt{\frac{2}{m}}\sqrt{E_0-mgf(x)}.$$ In each point the...
  3. rudransh verma

    B What is the relationship between force and distance in planetary motion?

    https://www.feynmanlectures.caltech.edu/I_09.html 9-7 "From this figure we see that the horizontal component of the force is related to the complete force in the same manner as the horizontal distance x is to the complete hypotenuse r, because the two triangles are similar. Also, if x is...
  4. rudransh verma

    B What is the concept of distance as an integral in Feynman lectures on physics?

    From Feynman lectures on physics: https://www.feynmanlectures.caltech.edu/I_08.html Page 8-7 (Ch 8 Motion) “ To be more precise, it is the sum of the velocity at a certain time, let us say the ith time, multiplied by deltat. ##s=\sum_{i} v({t_i})\Delta t##” Now I suppose ##{t_i}## is some time...
  5. A

    I Why Is Moving Backwards on Skates Challenging for Humans?

    Can we apply Newton's laws of motion to the following use case mentioned below? Why is it difficult for Humans to move backwards with Skates? With practice & balance, is it possible to achieve this feat? Humans do can move backwards with their legs.
  6. mncyapntsi

    Motion - How do you find the time in the air of an object

    Hi! I am really stuck on the concept, wouldn't we not have enough variables? I tried equation the equation for the y of the object to the slope of the hill, but I am missing several variables. Any help is greatly appreciated :) thanks!
  7. V

    Finding the y-component of a velocity vector

    The first thing I did, was to find the equations for player A (p) and ball's (b) path (for each i and j component I used the equation I wrote in the relevant equations) and then I found the derivative of both equations so I could have the velocity: $$\vec{r}_p(t)=(6t^2+3t)\hat{i}+20\hat{j}...
  8. computing

    Has this particle exceeded 30 km/h on a velocity vs. time graph?

    hi how can i draw velocity - time graph to determine whetere this particle has ever exceeeded the 30 km/h velocity or not ?
  9. S

    Motion of body in water under 7 bar pressure

    Is entering force will be same when a body enter in two box one filled with water and other filled with air. Both boxes have same pressure 7 bar and velocity of body at entering point is 9 m/s
  10. sergiokapone

    I The metrics to describe a wormhole

    Lets consider some kind of metrics: \begin{equation} ds^2 = dt^2 - \frac{dr^2}{1-\frac{2M}{r}} - r^2(d\theta^2 + \sin^2\theta d\phi^2). \end{equation} here ##r = l/2\pi## is the radial coordinte like in Schwarzschild metrics. As far as I know, this metrics is describe the whormhole. Lets put...
  11. C

    B How to calculate travel time as a function of distance

    I need help calculating travel time as a function of distance using drag equation: F_drag = crossection area * density * ballistic coefficient * 0.5 * v^2. Not posted in homework cause it's not, and I don't know how to solve integrals so I could not fill solution attempt box
  12. Oklid

    Question about Absolute Dependent Motion Analysis

    Homework Statement [/B] Find accelerations of these masses and the pulley are weightless. Homework Equations [/B] Sb+Sc=Length of the second rope (L2) The Attempt at a Solution [/B] Just like I did, I placed all variables from datum to the masses. In the second system, I write the...
  13. B

    Velocities when generating an Archimedean spiral trajectory

    hey, I just want to know, if I am to send a velocity commands to generate a spiral trajectory, What would be these velocities (angular and linear)?? Thanks in advance
  14. NoahCygnus

    Motion analysis of an accelerating wedge and a block

    I don't understand the motion of an accelerating wedge and a block. I'd really appreciate if you make me understand the motion in both an inertial and a non inertial reference frame. Here's a figure I have made, a0 is the acceleration on the wedge with respect to an inertial frame, towards right.
  15. E

    Stair Descent Physics: Share Lecture Illustration

    I am working on some litigation support tasking and need to illustrate, utilizing stick figures and some basic applied physics, to explain the act of walking down a staircase and how a divergent stair riser may affect the stride of a human descending the stairs...I have seen illustrations in...
  16. jdawg

    Dynamics: Relative Motion Analysis

    Homework Statement [/B] If bar AB has an angular velocity of 6 rad/s, determine the velocity of the slider block C at the instant shown. 2. Homework Equations The Attempt at a Solution vB=vA+wABxrB/A vA=0 vB= -0.8485i+0.8485j So then C relative to B: vC=vB+wBCxrC/B -vCi=...
  17. S

    Relative Motion Analysis: Acceleration

    Mentor note: moved to homework forum later, therefore no template. When doing a rigid body relative motion (accel) problem using vector analysis, how do I know when it's appropriate to substitute sin/cos values vs when to use just the numbers given as the velocity?
  18. _N3WTON_

    Relative Motion Analysis: Acceleration of rotating disk

    Homework Statement A slotted link AC is is driven by the peg P connected to a rotating disk. Point A is fixed. Determine the link's angular velocity, \omega_{ac} and acceleration, \alpha_{ac} when the angular velocity and acceleration are \omega and \alpha , respectively. \omega = 6...
  19. M

    Dynamics, dependent motion analysis

    Homework Statement All of this is in the attachment, but here is the question anyways. "Two blocks of masses A, 50 kg and B, 30 kg are connected to a mass*less pulley which is connected to a wall. Determine the velocity of block B after it moves 0.5 m from its original position. Assume no...
  20. Andy Resnick

    Help Needed: Fnding Simple Motion Analysis Setup

    I'm hoping someone here an help out; I've gotten rather frustrated trying to do something simple. A colleague asked me to help him put together a simple motion analysis setup (Physics I style) as a lab tool. Standard video rates (30 fps etc) are more than sufficient. What *is* important is...
  21. P

    Is my relative motion analysis correct for this engineering problem?

    Homework Statement The attempt at a solution I used the concept of relative motion analysis for velocity: VB = VA + VB/A (4) = (-2) + ω(3) ω = 2 rad/s (CCW) Is this correct?
  22. C

    Projectile Motion Analysis: Golf Ball Speed, Distance, and Height

    Homework Statement A golf ball is struck at ground level. The speed of the golf ball as a function of time is shown in the figure below, where t = 0 at the instant the ball is struck. The graph is marked in increments of 0.55 s along the time axis, and vmin = 18.92 m/s and vmax = 32.93 m/s...
  23. P

    Planar Kinematics of a Rigid Body (Relative Motion Analysis using Rotating Axes)

    Let me start by saying thank you to any responses I receive. I understand the methods for solving this problem but I have concluded that either part or all of my solution is incorrect. After solving for the angular velocity, I differentiated my answer in order to check the angular...