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Related Concept Videos

Rolling Without Slipping01:09

Rolling Without Slipping

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People have observed the rolling motion without slipping ever since the invention of the wheel. For example, one can look at the interaction between a car's tires and the surface of the road. If the driver presses the accelerator to the floor so that the tires spin without the car moving forward, there must be kinetic friction between the wheels and the road's surface. If the driver slowly presses the accelerator, causing the car to move forward, the tires roll without slipping. It is...
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Rolling With Slipping01:14

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Rolling with slipping is a physical phenomenon that occurs when a rolling object experiences both rotational and linear motion but also experiences frictional forces that cause slipping. This phenomenon can occur in various situations, such as when a tire rolls on a wet road or a ball rolls on a rough surface.
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Absolute Value Inequalities01:23

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The absolute value is a mathematical tool that represents the distance of a number from zero on the number line, regardless of its sign. In the context of inequalities, absolute value expressions help define a range of permissible values or boundaries for a variable. These inequalities are commonly used in scientific modeling and data interpretation, where variability within or beyond a certain threshold must be captured precisely.An absolute value inequality of the form ∣x∣ ≤...
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Mean Absolute Deviation01:13

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The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
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Rolling Resistance01:21

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When a solid cylinder rolls steadily on a rigid surface, the normal force applied by the surface on the cylinder is perpendicular to the tangent at the contact point. However, since no materials are entirely rigid, the surface's reaction to the cylinder involves a range of normal pressures.
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Rolling Resistance: Problem Solving01:17

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Rolling resistance, also known as rolling friction, is the force that resists the motion of a rolling object, such as a wheel, tire, or ball, when it moves over a surface. It is caused by the deformation of the object and the surface in contact with each other, as well as other factors like internal friction, hysteresis, and energy losses within the materials. Rolling resistance opposes the object's motion, requiring additional energy to overcome it and maintain movement. In practical...
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In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
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Rolling Shutter Camera Absolute Pose.

Cenek Albl, Zuzana Kukelova, Viktor Larsson

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |January 25, 2019
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    Summary
    This summary is machine-generated.

    We developed fast, non-iterative computer vision solutions for determining the precise 3D position and orientation of rolling shutter cameras. These methods improve accuracy without needing initial camera pose estimates.

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    Area of Science:

    • Computer Vision
    • Robotics
    • Computational Geometry

    Background:

    • The absolute pose problem is crucial for 3D scene reconstruction and robot navigation.
    • Rolling shutter cameras are prevalent but introduce motion distortions, complicating pose estimation.
    • Existing methods often require initial guesses or iterative refinement, limiting real-time applications.

    Purpose of the Study:

    • To develop minimal, non-iterative solvers for the absolute pose problem with rolling shutter cameras.
    • To propose novel rolling shutter camera models suitable for polynomial solvers.
    • To eliminate the need for initial orientation estimates in rolling shutter pose estimation.

    Main Methods:

    • Formulation of two feasible rolling shutter camera models for a polynomial solver.
    • Simplification of the system of equations for a faster, linearized solver.
    • Development of a novel, non-linearized solver using Cayley parameterization for direct absolute pose estimation.

    Main Results:

    • The proposed polynomial solver achieves faster computation by simplifying equations.
    • The Cayley parameterization solver provides a direct, standalone solution without initial orientation.
    • Experimental results demonstrate superior performance compared to P3P with non-linear refinement for rolling shutter scenarios.

    Conclusions:

    • The presented non-iterative methods offer efficient and accurate solutions for the rolling shutter absolute pose problem.
    • The novel solver using Cayley parameterization is a significant advancement, enabling standalone pose estimation.
    • These algorithms are well-suited for real-time computer vision applications utilizing rolling shutter cameras.