Gaussian function

Gaussian blur

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). It is a widely used effect in graphics software, typically to reduce image noise and reduce detail. The visual effect of this blurring technique is a smooth blur resembling that of viewing the image through a translucent screen, distinctly different from the bokeh effect produced by an out-of-focus lens or the shadow of an object under usual illumination. Gaussian smoothing is also used as a pre-processing stage in computer vision algorithms in order to enhance image structures at different scales—see scale space representation and scale space implementation. (Wikipedia).

Gaussian blur
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(ML 19.1) Gaussian processes - definition and first examples

Definition of a Gaussian process. Elementary examples of Gaussian processes.

From playlist Machine Learning

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(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian

An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.

From playlist Probability Theory

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PUSHING A GAUSSIAN TO THE LIMIT

Integrating a gaussian is everyones favorite party trick. But it can be used to describe something else. Link to gaussian integral: https://www.youtube.com/watch?v=mcar5MDMd_A Link to my Skype Tutoring site: dotsontutoring.simplybook.me or email dotsontutoring@gmail.com if you have ques

From playlist Math/Derivation Videos

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(ML 19.2) Existence of Gaussian processes

Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.

From playlist Machine Learning

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What is Gaussian elimination?

Gaussian elimination example is discussed and the general algorithm explained. Such ideas are important in the solution of systems of equations.

From playlist Intro to Linear Systems

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(ML 16.6) Gaussian mixture model (Mixture of Gaussians)

Introduction to the mixture of Gaussians, a.k.a. Gaussian mixture model (GMM). This is often used for density estimation and clustering.

From playlist Machine Learning

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a Gaussian mistake?

Gaussian Mistake? In this video, I cover a super interesting fact related to the gaussian integral that a subscriber recommended to me. Did Gauss make a mistake, or is there something more subtle going on? Gaussian Integral 12 Ways: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCgLyH

From playlist Gaussian Integral

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This is the Difference of Gaussians

In the realm of image based edge detection, aesthetically pleasing edges are hard to come by. But, what if we could get stylized edge lines by just blurring our image twice? Download my GShade shader pack! https://github.com/GarrettGunnell/AcerolaFX/wiki Patreon: https://www.patreon.com/

From playlist Post Processing

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Mixture Models 4: multivariate Gaussians

Full lecture: http://bit.ly/EM-alg We generalise the equations for the case of a multivariate Gaussians. The main difference from the previous video (part 2) is that instead of a scalar variance we now estimate a covariance matrix, using the same posteriors as before.

From playlist Mixture Models

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Video Game & Complex Bokeh Blurs - Computerphile

How do Madden, FIFA, PGA Tour get that lovely shallow depth of field in real time? Dr Mike Pound explains how Complex Gaussian Blurs can be separable. Mike's code: https://github.com/mikepound/convolve EXTRA BITS: https://youtu.be/Nl0Wq_BTdmQ https://www.facebook.com/computerphile ht

From playlist Computer Vision: Filters (Blur, Edge Detection etc)

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Convolutions and Polynomial Approximation

In this video, I intuitively explain and apply some deeper mathematical tools - namely convolutions and approximate identities - to prove the Weierstrass approximation theorem, which roughly states that any continuous function can be approximated by polynomials. I also make connections to

From playlist Summer of Math Exposition Youtube Videos

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How Blurs & Filters Work - Computerphile

Image filters make most people think of Instagram or Camera Phone apps, but what's really going on at pixel level? Image Analyst Dr Mike Pound explains some of the most common filters. Secrets Hidden in Images (Steganography): https://youtu.be/TWEXCYQKyDc JPEG 'files' & Colour: https://yo

From playlist Fourier

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How to Blur Background: Photoshop | Adobe Creative Cloud

Learn how to blur background in a photo to create focus with photoshop. More Photoshop tutorials on helpx.adobe.com: https://helpx.adobe.com/photoshop/tutorials.html?sdid=H822XTMZ&mv=social Learn how to take great photos and make them even better. Preview world-class photography classes

From playlist Photoshop

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Inkscape Video Tutorial 6

Every Inkscape Filter : http://goo.gl/rQ0O6R Best Inkscape Book : http://goo.gl/mTAm7P In this part of my Inkscape video tutorial I cover the Inkscape Filter Editor. Specifically I'll cover the following filter primitives available in the Filter Editor : Gaussian Blur, Blend, Offset, M

From playlist Inkscape Video Tutorial

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Blender for Video Editing: Privacy Blur Using Masking

In this video we show how to create a mask in Blender and use it to apply a privacy blur to a video. This effect is useful if want to hide the identify of a person or object in a video. [UPDATE] – In newer versions of Blender, at 12:56 you may need to change the Adjustment Layer \ Strip

From playlist Blender as a Video Editor

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Convolutions in image processing | Week 1 | MIT 18.S191 Fall 2020 | Grant Sanderson

The basics of convolutions in the context of image processing. Course website: https://computationalthinking.mit.edu/Fall20/ Contents: 0:00 - Introduction 1:12 - Box blur as an average 3:00 - Dealing with the edges 4:31 - Gaussian blur 5:30 - Visualizing gaussian blur 6:04 - Convolution

From playlist Fourier

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Inkscape Video Tutorial 7

Get the Cheat Sheet Here : http://goo.gl/YyZXJJ Best Inkscape Book : http://goo.gl/mTAm7P In this part of my Inkscape tutorial I will finish up covering the Inkscape Filter Editor. If you missed the previous part of this tutorial watch it first because I cover how to fix a common Filter

From playlist Inkscape Video Tutorial

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Gaussian Integral 7 Wallis Way

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a technique that is very similar to the

From playlist Gaussian Integral

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This is the Kuwahara Filter

30 years ago a man attempted to denoise medical imagery and unknowingly set off a chain reaction of research developments leading to a modern day post processing effect that transforms images into paintings, but how did he do it? Download my GShade shader pack! https://github.com/GarrettG

From playlist Post Processing

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Gaussian #shorts

Here I evaluate the Gaussian Integral in under a minute. This is a must-see for calculus lovers! Gaussian Integral: https://youtu.be/kpmRS4s6ZR4 Gaussian Integral Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCgLyHWMXGZnioRHLqOk2bW Subscribe to my channel: https://youtube.co

From playlist Gaussian Integral

Related pages

Low-pass filter | Weierstrass transform | Scale space implementation | Floor and ceiling functions | Big O notation | Carl Friedrich Gauss | Aliasing | Finite impulse response | Infinite impulse response | Frequency domain | Parabola | Pixel | Gaussian filter | Gaussian function | Image noise | Median filter | Bode plot | Normal distribution | Standard deviation | Convolution | Laplace operator | Fourier transform