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Related Concept Videos

Correlations02:20

Correlations

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Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
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Deconvolution01:20

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Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
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Correlation of Experimental Data01:23

Correlation of Experimental Data

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Dimensional analysis simplifies complex physical problems and guides experimental investigations, but it does not provide complete solutions. It identifies the dimensionless groups that influence a phenomenon, but experimental data is needed to establish the specific relationships and validate theoretical predictions.
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Coefficient of Correlation01:12

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The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable x and the dependent variable y.
If you suspect a linear relationship between x and y, then r can measure how strong the linear relationship is.
What the VALUE of r tells us:
The value of r is always between –1 and +1: –1 ≤ r ≤ 1.
The size of the correlation r indicates the...
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Correlation01:09

Correlation

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In statistics, two variables are said to be correlated if the values of one variable are associated with the other variable. Depending on the relationship between two variables, correlation can be of three types– positive correlation, negative correlation, and zero correlation.
Two variables, for example, a and b, are said to be positively correlated if both variables move in the same direction. In other words, a positive correlation exists between two variables, a and b, if:
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Calibration Curves: Correlation Coefficient01:10

Calibration Curves: Correlation Coefficient

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In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the...
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Transient Optical Clearing Using Absorbing Molecules for Ex Vivo and In Vivo Imaging
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Image denoising by exploring external and internal correlations.

Huanjing Yue, Xiaoyan Sun, Jingyu Yang

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    |March 18, 2015
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    This study introduces a novel image denoising method using internal and external image correlations. The technique significantly improves denoising performance by leveraging web images for enhanced patch matching and filtering.

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    Area of Science:

    • Computer Vision
    • Image Processing
    • Signal Processing

    Background:

    • Single image denoising is challenging due to limited data within a single noisy image.
    • Existing methods often struggle with accurate patch selection and noise reduction.

    Purpose of the Study:

    • To propose a novel image denoising scheme utilizing both internal and external image correlations.
    • To enhance denoising performance by effectively utilizing web images.

    Main Methods:

    • Constructing internal and external data cubes from similar patches in noisy and web images.
    • Employing a two-stage denoising strategy with graph-based optimization for external denoising and frequency truncation for internal denoising.
    • Utilizing transform domain filtering and fusing results from internal and external denoising stages.

    Main Results:

    • The proposed method achieves superior performance compared to state-of-the-art denoising schemes.
    • Experimental results demonstrate significant improvements in both subjective and objective quality measurements.
    • The method achieves over 2 dB gain compared to BM3D across various noise levels.

    Conclusions:

    • The novel image denoising scheme effectively leverages internal and external correlations for superior noise reduction.
    • The two-stage filtering approach, enhanced by preliminary denoising results, improves patch matching and parameter estimation.
    • The method offers a robust and high-performing solution for single image denoising problems.