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Derivatives of Inverse Trigonometric Functions01:30

Derivatives of Inverse Trigonometric Functions

A ship tracking an approaching aircraft relies on geometric measurements to find out the aircraft’s position relative to the observer. By measuring the slant distance to the aircraft and the angle of elevation, the horizontal and vertical components of the distance can be obtained using trigonometric relationships. This geometric approach provides a basis for analyzing how the observed angle changes as the aircraft moves closer to the ship.To examine the mathematical behavior of the angle of...
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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Updated: May 27, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

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Published on: February 12, 2014

Moment-Reenacting: Inverse Motion Degradation With Cross-Shutter Guidance.

Xiang Ji, Guixu Lin, Zhengwei Yin

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |May 25, 2026
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a unified framework to fix motion blur and rolling shutter distortion by combining global shutter and rolling shutter images. This new method enables realistic high-speed video reconstruction even with fast motion.

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    Area of Science:

    • Computational Imaging
    • Computer Vision
    • Image Processing

    Background:

    • Motion degradation, including global shutter (GS) blur and rolling shutter (RS) distortion, poses significant challenges in capturing clear images under fast motion or low light.
    • Existing methods often address blur decomposition and RS temporal super-resolution independently, neglecting their inherent complementarity.

    Purpose of the Study:

    • To propose a unified framework for inverting motion degradation and reconstructing imaging moments by leveraging the complementary information from GS and RS imaging.
    • To resolve temporal and spatial ambiguities present in both GS and RS modalities.

    Main Methods:

    • Introduced a novel dual-shutter setup capturing synchronized GS-RS image pairs.
    • Extended the dual-shutter setup to a stereo Blur-RS configuration for performance-cost trade-offs.
    • Developed a triaxial imaging system for a real-world dataset with aligned GS-RS pairs and ground-truth high-speed frames.
    • Proposed a network with a dual-stream motion interpretation module and a self-prompted frame reconstruction stage.

    Main Results:

    • The dual-shutter approach effectively resolves temporal and spatial ambiguities.
    • The proposed network successfully disentangles motion into context-aware and temporally-sensitive representations.
    • Extensive experiments demonstrate the superiority and generalizability of the approach over existing methods.

    Conclusions:

    • The unified framework establishes a new paradigm for realistic high-speed video reconstruction under complex motion degradations.
    • Jointly leveraging GS and RS data offers significant advantages over separate processing.
    • The developed system and dataset enable robust training and evaluation for motion-degraded imaging.