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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.
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Relative Motion Analysis using Rotating Axes01:25

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Curvilinear Motion: Polar Coordinates01:27

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Absolute Motion Analysis- General Plane Motion01:24

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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Exact global motion compensation for holographic video compression.

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    This study presents a novel holographic video compression pipeline. It achieves significant improvements over traditional codecs by using motion compensation and optimized quantization for holographic data.

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    Area of Science:

    • Optics and Photonics
    • Digital Signal Processing
    • Computer Vision

    Background:

    • Holographic video technology offers immersive experiences but faces challenges with high data rates for storage and transmission.
    • Existing compression methods are insufficient for the unique characteristics of holographic video data.

    Purpose of the Study:

    • To develop an efficient end-to-end compression pipeline specifically for holographic video sequences.
    • To address the impractical bitrates associated with uncompressed holographic video.

    Main Methods:

    • The pipeline utilizes a motion compensation algorithm based on the rotational transformation of an angular spectrum.
    • Residual data is processed using short-time Fourier transforms and uniform mid-rise quantizers.
    • Bit depth is optimized using a Lagrangian rate-distortion criterion with mean squared error as the distortion metric.

    Main Results:

    • The proposed compression pipeline demonstrates significant gains, achieving approximately 20 dB Bjøntegaard delta peak signal-to-noise ratio improvement.
    • Results show substantial efficiency compared to conventional image and video codecs when applied to computer-generated holographic videos.

    Conclusions:

    • The developed compression strategy effectively reduces holographic video bitrates while maintaining high quality.
    • This approach offers a viable solution for practical storage and transmission of holographic video content.