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Gaussian blur and Gaussian function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Gaussian blur and Gaussian function

Gaussian blur vs. Gaussian function

In image processing, a Gaussian blur (also known as Gaussian smoothing) is the result of blurring an image by a Gaussian function (named after mathematician and scientist Carl Friedrich Gauss). In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the form: for arbitrary real constants, and.

Similarities between Gaussian blur and Gaussian function

Gaussian blur and Gaussian function have 10 things in common (in Unionpedia): Carl Friedrich Gauss, Computer vision, Convolution, Digital image processing, Gaussian filter, Normal distribution, Scale space, Scale space implementation, Standard deviation, Weierstrass transform.

Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.

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Computer vision

Computer vision is a field that deals with how computers can be made for gaining high-level understanding from digital images or videos.

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Convolution

In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.

Convolution and Gaussian blur · Convolution and Gaussian function · See more »

Digital image processing

In computer science, Digital image processing is the use of computer algorithms to perform image processing on digital images.

Digital image processing and Gaussian blur · Digital image processing and Gaussian function · See more »

Gaussian filter

In electronics and signal processing, a Gaussian filter is a filter whose impulse response is a Gaussian function (or an approximation to it).

Gaussian blur and Gaussian filter · Gaussian filter and Gaussian function · See more »

Normal distribution

In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.

Gaussian blur and Normal distribution · Gaussian function and Normal distribution · See more »

Scale space

Scale-space theory is a framework for multi-scale signal representation developed by the computer vision, image processing and signal processing communities with complementary motivations from physics and biological vision.

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Scale space implementation

The linear scale-space representation of an N-dimensional continuous signal, is obtained by convolving fC with an N-dimensional Gaussian kernel: In other words: However, for implementation, this definition is impractical, since it is continuous.

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Standard deviation

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

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Weierstrass transform

In mathematics, the Weierstrass transform of a function, named after Karl Weierstrass, is a "smoothed" version of obtained by averaging the values of, weighted with a Gaussian centered at x.

Gaussian blur and Weierstrass transform · Gaussian function and Weierstrass transform · See more »

The list above answers the following questions

Gaussian blur and Gaussian function Comparison

Gaussian blur has 38 relations, while Gaussian function has 91. As they have in common 10, the Jaccard index is 7.75% = 10 / (38 + 91).

References

This article shows the relationship between Gaussian blur and Gaussian function. To access each article from which the information was extracted, please visit:

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