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Related Concept Videos

Transformations of Functions III01:20

Transformations of Functions III

Transformations modify the graphical representation of a function without changing its fundamental form. One common transformation is reflection, which flips the graph across a designated axis. When the vertical coordinates of all points are multiplied by the negative one, the entire graph is mirrored over the horizontal axis. This transformation reverses the vertical orientation of peaks and troughs, akin to signal inversion in electrical systems, where a waveform is flipped, but the timing of...
Interference and Superposition of Waves01:07

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Partial Differential Equations01:21

Partial Differential Equations

A stone dropped into a still pond generates waves that propagate outward in circular patterns, creating a dynamic surface whose elevation depends on both position and time. At any given location, the water level oscillates as the wave passes, while at any fixed moment, the surface exhibits smooth, curved structures extending across space. This dual dependence requires a mathematical description that accounts for variation in multiple variables simultaneously.At a fixed point on the water...
Properties of DTFT I01:24

Properties of DTFT I

In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
The linearity property of DTFTs is fundamental. If two discrete-time signals are multiplied by constants a and b respectively, and then combined to...
Geometric Sequences01:30

Geometric Sequences

In systems where values diminish by a constant proportion at each stage, the resulting sequence follows a geometric structure. Each new value in the sequence is obtained by applying a fixed multiplier to the preceding term. This regular, proportional decline type is often used to represent processes involving gradual loss, such as energy dissipation or reduction in amplitude over time.When analyzing the total effect of such a process across unlimited iterations, the series of values is referred...
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Effective Value of a Periodic Waveform

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Related Experiment Video

Updated: Jun 22, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Geometric attack resistant watermarking in wavelet transform domain.

Choong-Hoon Lee, Heung-Kyu Lee

    Optics Express
    |June 5, 2009
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel autocorrelation function (ACF) based digital watermarking scheme in the discrete wavelet transform (DWT) domain. The proposed DWT-domain method enhances watermark robustness against geometric attacks compared to traditional spatial domain approaches.

    Related Experiment Videos

    Last Updated: Jun 22, 2026

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
    11:00

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

    Published on: July 19, 2016

    Area of Science:

    • Digital image processing
    • Information security
    • Signal processing

    Background:

    • Traditional autocorrelation function (ACF) based watermarking is typically performed in the spatial domain.
    • ACF-based methods rely on autocorrelation (AC) peaks for detecting geometric attacks.
    • Spatial domain embedding can limit the robustness and efficiency of ACF-based watermarking.

    Purpose of the Study:

    • To propose a novel ACF-based digital watermarking scheme in the discrete wavelet transform (DWT) domain.
    • To demonstrate that autocorrelation peaks, crucial for geometric attack detection, can be effectively extracted in the DWT domain.
    • To enhance the robustness of ACF-based watermarking against geometric distortions and removal attacks.

    Main Methods:

    • Embedding a periodic watermark in the DWT domain, considering autocorrelation peak strength and noise visibility.
    • Utilizing the undecimated DWT to address image shift issues during watermark detection.
    • Comparing the proposed DWT-domain scheme with conventional spatial domain ACF-based watermarking.

    Main Results:

    • The proposed DWT-domain watermarking scheme generates stronger autocorrelation peaks compared to spatial domain methods.
    • The scheme exhibits improved robustness against combined geometric attacks and removal attempts.
    • Effective handling of image shifts during watermark detection using the undecimated DWT.

    Conclusions:

    • Embedding watermarks in the DWT domain using ACF offers superior robustness compared to spatial domain methods.
    • The proposed scheme provides a more effective approach for detecting geometric attacks through enhanced AC peak strength.
    • The integration of undecimated DWT ensures reliable watermark detection even with image shifts.