Self-similarities in Hilbert Envelope Energy Regions on Motion Waveforms Application in Detecting Motion Irregularities in Video Frames

Year : 2024 | Volume : 14 | Issue : 03 | Page : 34-49
    By

    Dr. J.F. Peters,

  • E. Cui1,

  1. Student,, Department of Electrical & Computer Engineering, University of Manitoba, Winnipeg, Manitoba R3T 5V6, Manitoba, Canada
  2. Student,, Department of Electrical & Computer Engineering, University of Manitoba, Winnipeg, Manitoba R3T 5V6, Manitoba, Canada

Abstract

This paper introduces self-similar Hilbert envelope energy regions that are commonly found in oscillating spectral curves. The time-varying amplitudes and peak value frequencies in typical spectral curves reflect the response of a system to external stimuli. A Hilbert envelope is a smooth curve connected between spectral curve peak values. Each peak value  on an envelope curve  at time  identifies an envelope-bounded region with interior area (called Hilbert envelope energy region (denoted by)) which provides a measure of the size of a system response to a time-varying stimulus. A planar curve tangent to the peak values of an oscillating waveform is called a Hilbert envelope. Such an envelope is a series of pathways that extend between a nonlinear waveform’s maximum values. In other words, a Hilbert envelope provides a ‘Fingerprint’ of the spectral flow of an oscillating waveform  in as much as an envelope is tangent to every maximal value of the waveform. This paper includes an application of Hilbert energy envelope regions in tracking the self-similarities of either a walker or runner motion recorded in infrared videos.

Keywords: Aperiodic waveform, envelope, Hilbert energy region, infrared (IR), motion waveform, peak value, self-similarity, signal energy, spectral curve

[This article belongs to Trends in Opto-electro & Optical Communication ]

How to cite this article:
Dr. J.F. Peters, E. Cui1. Self-similarities in Hilbert Envelope Energy Regions on Motion Waveforms Application in Detecting Motion Irregularities in Video Frames. Trends in Opto-electro & Optical Communication. 2024; 14(03):34-49.
How to cite this URL:
Dr. J.F. Peters, E. Cui1. Self-similarities in Hilbert Envelope Energy Regions on Motion Waveforms Application in Detecting Motion Irregularities in Video Frames. Trends in Opto-electro & Optical Communication. 2024; 14(03):34-49. Available from: https://journals.stmjournals.com/toeoc/article=2024/view=183795


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Regular Issue Subscription Original Research
Volume 14
Issue 03
Received 21/09/2024
Accepted 22/10/2024
Published 18/11/2024
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