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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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Related Experiment Video

Updated: Dec 27, 2025

Author Spotlight: Enhancement of Salient Object Detection for Smart Grid Applications
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Deep Collaborative Multi-view Hashing for Large-scale Image Search.

Lei Zhu, Xu Lu, Zhiyong Cheng

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |February 25, 2020
    PubMed
    Summary
    This summary is machine-generated.

    Deep Collaborative Multi-view Hashing (DCMVH) enhances large-scale image search by deeply fusing multi-view features. This novel deep learning framework improves hash code learning and achieves superior performance in multi-view image retrieval.

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    Area of Science:

    • Computer Science
    • Machine Learning
    • Artificial Intelligence

    Background:

    • Hashing accelerates large-scale image search by mapping high-dimensional features to binary Hamming space.
    • Multi-view hashing leverages multiple features for binary hash learning.
    • Existing methods struggle with deep feature correlations or insufficient semantics.

    Purpose of the Study:

    • To propose a novel Deep Collaborative Multi-view Hashing (DCMVH) method.
    • To deeply fuse multi-view features and collaboratively learn hash codes.
    • To address limitations of shallow and unsupervised deep multi-view hashing.

    Main Methods:

    • DCMVH employs view-specific networks for hidden representation extraction.
    • A fusion network learns multi-view fused hash codes.
    • Instance-wise and pair-wise semantic labels enhance discriminative capabilities and feature complementarity.
    • A fast discrete hash optimization method is utilized.

    Main Results:

    • DCMVH achieves substantial performance improvements over state-of-the-art methods.
    • The framework effectively exploits the complementarity of different view features.
    • Deep fusion enhances the discriminative capability of representation layers.

    Conclusions:

    • DCMVH offers a powerful deep learning framework for multi-view hashing.
    • The method significantly advances the state-of-the-art in multi-view image search.
    • Effective deep fusion and collaborative learning are key to improved performance.