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Updated: Jan 21, 2026

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Sparse Coding of Shape Trajectories for Facial Expression and Action Recognition.

Amor Ben Tanfous, Hassen Drira, Boulbaba Ben Amor

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |August 10, 2019
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    Summary

    This study uses Sparse Coding and Dictionary Learning to analyze human shape trajectories in videos. The method effectively recognizes actions and expressions by addressing nonlinearities in shape data.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Human Behavior Analysis

    Background:

    • Human landmark detection and tracking in videos are crucial for automatic behavior understanding.
    • Time-varying geometric data from RGB-D sensors present challenges due to nonlinear shape manifolds.
    • Conventional machine learning struggles with the inherent nonlinearity of shape trajectories.

    Purpose of the Study:

    • To develop a robust method for studying time-varying shapes and their temporal evolution (trajectories).
    • To apply Sparse Coding and Dictionary Learning to Kendall shape spaces for analyzing 2D and 3D landmark data.
    • To enhance action and expression recognition using shape trajectory analysis.

    Main Methods:

    • Utilized Sparse Coding and Dictionary Learning on Kendall shape spaces for 2D and 3D landmark data.
    • Explored intrinsic and extrinsic solutions to overcome the nonlinearity of shape spaces.
    • Applied the approach to 3D skeletal sequences for action recognition and 2D facial landmarks for expression recognition.

    Main Results:

    • Shape trajectories provide more discriminative time-series data.
    • The proposed method yields computational properties like sparsity and vector space structure.
    • Demonstrated competitiveness against state-of-the-art methods on standard datasets.

    Conclusions:

    • Sparse Coding and Dictionary Learning effectively model nonlinear shape trajectories for human behavior analysis.
    • The approach enhances the discriminative power of time-series data for action and expression recognition.
    • The method offers a computationally efficient and effective solution for analyzing complex geometric data in videos.