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Equation of Motion: General Plane motion01:22

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In the context of a rigid body's movement within a general plane, it is important to understand that this motion is typically triggered by external forces or couple moments exerted onto it. This principle can be explained through Newton's second law, which stipulates the translational motion of the body's center of mass along each axis.
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Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
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Consider a lawn roller with a mass of 100 kg, a radius of 0.2 meters, and a radius of gyration of 0.15 meters. A force of 200 N is applied to this roller, angled at 60 degrees from the horizontal plane. What will be the angular acceleration of the lawn roller?
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The theory of projectile motion is very useful for players of several sports to improve their performance. For example, a javelin thrower needs to throw their javelin in such a way that it travels as far as possible. The javelin thrower takes a short run-up to increase the initial speed of the javelin. The range of a projectile is at its maximum at a 45° angle so javelin throwers try to angle their throw as close to 45° as possible.
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The torque-free motion refers to the movement of a rigid body in space when no external torques are acting upon it. This type of motion can be observed in environments where there are no external forces or frictions, like in outer space. For example, a rotation of Mars in space is a torque-free motion. Mars is an axisymmetric object, meaning it has an axis of symmetry along which it rotates, designated as the z-axis. The rotating frame of reference is defined such that the center of mass of...
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Human Fetal Blood Flow Quantification with Magnetic Resonance Imaging and Motion Compensation
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Plenoptic Image Motion Deblurring.

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    We developed a novel blind deconvolution method to remove motion blur from single light field images captured by moving plenoptic cameras. This technique efficiently recovers sharp images and camera motion, even with non-uniform blur.

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    Area of Science:

    • Computer Vision
    • Image Processing
    • Computational Photography

    Background:

    • Light field (LF) images captured by plenoptic cameras suffer from inherent aliasing and defocus blur due to scene 3D geometry.
    • Existing motion deblurring algorithms for standard cameras are not directly applicable to LF images.
    • High dimensionality of LF images makes traditional iterative blind deconvolution models computationally impractical.

    Purpose of the Study:

    • To propose a novel blind deconvolution method for removing motion blur from single light field images.
    • To address the challenges posed by the unique imaging characteristics of plenoptic cameras.
    • To enable accurate recovery of sharp scene textures and camera motion from blurry light field data.

    Main Methods:

    • Leveraging periodic patterns in plenoptic images to develop highly parallelizable image synthesis schemes.
    • Implementing efficient graphics processing unit (GPU) accelerated iterative methods for blind deconvolution.
    • Formulating the deblurring problem as a regularized energy minimization to recover latent sharp images and motion parameters.

    Main Results:

    • Successfully removed motion blur from synthetic and real light field data.
    • Demonstrated the capability to handle non-uniform motion blur caused by camera shake.
    • Achieved recovery of sharp high-resolution scene textures and accurate camera motion estimation.

    Conclusions:

    • The proposed method effectively addresses motion blur in light field images captured by moving plenoptic cameras.
    • Exploiting periodic patterns enables efficient GPU implementations for complex deconvolution tasks.
    • The formulation is robust and applicable to various motion blur scenarios, including camera shake.