convolution

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Examples
convolution's examples

  • Convolution is the most important method to ***yze signals in digital signal processing. It describes how to convolve singals in 1D and 2D. — “Convolution”, songho.ca
  • Convolution uses the local 'neighbourhood' of pixels to modify images. The convolution variation, 'Correlation' is also used for scanning and searching for specific patterns, producing a image denoting how closely images matches. — “Convolution of Images -- IM v6 Examples”,
  • 1. What is a convolution? Image convolution is a linear image processing operation where each dest pixel is computed based on a weighted sum of a set of (typically nearby) source pixels. For simplicity, label the pixels as a one-dimensional array. — “Integral Image”,
  • The area under the resulting product gives the convolution at t. The horizontal axis is τ for f and g, and t for . Convolution of a square pulse (as input signal) with the impulse response of an RC circuit to obtain the output signal waveform. — “Convolution - Wikipedia, the free encyclopedia”,
  • RoboRealm is a powerful vision software application for use in machine vision, image ***ysis, and image processing systems. Using an easy to use point and click interface complex image ***ysis becomes just plain fun!. — “Convolution Filter”,
  • Convolution has been a standard topic in engineering and computing science for some time, In fact, convolution in this example is simply a mathematical description of what happens. — “Convolution”, sfu.ca
  • Convolution Representation. A system that behaves according to the convolution integral In the convolution expression, the integrand involves the product of two signals, both. — “Interactive Lecture”, jhu.edu
  • convolution (plural convolutions) Something that is folded or twisted. Any of the folds on the surface of the brain. The shape of .org/wiki/convolution" Categories: Latin derivations | English nouns. — “convolution - Wiktionary”,
  • Convolution is. important because it relates the three signals of interest: the input This chapter presents convolution from two different viewpoints, called. — “Convolution”,
  • Convolution is an important tool in data processing, in particular in digital signal and image processing. We will first define the concept in various general settings, discuss its properties and then list several convolutions of probability distributions. Definitions. — “PlanetMath: convolution”,
  • A convolution between two signals, x(t) and y(t), is an operation The process of convolution is very useful in the time domain ***ysis of systems, because. — “Convolution - Wikiversity”,
  • When you start the convolution tool. you will find that you can select signals, run animations, and control the display properties. The product and convolution data will change as the time-reversed input signal is moved relative to the system impulse response. — “Convolution”,
  • Computes the convolution of the input sequences X and Y. Wire data to the X input to determine the polymorphic instance to use or manually select When algorithm is direct, this VI computes the convolution using the direct method of linear convolution. — “Convolution VI - NI LabVIEW 8.6 Help”,
  • Welcome to Convolution's website. This website will detail the progress and events pertaining to the short film 'Convolution'. Please feel free to contact us with any questions you may have. — “Convolution”,
  • Convolution definition, a rolled up or coiled condition. See more. — “Convolution | Define Convolution at ”,
  • Convolution is a simple mathematical operation which is fundamental to many common image processing operators. Figure 1 shows an example image and kernel that we will use to illustrate convolution. — “Glossary - Convolution”,
  • Definition of convolution in the Online Dictionary. Meaning of convolution. Pronunciation of convolution. Translations of convolution. convolution synonyms, convolution antonyms. Information about convolution in the free online English. — “convolution - definition of convolution by the Free Online”,
  • convolution n. A form or part that is folded or coiled. One of the convex folds of the surface of the brain. — “convolution: Definition from ”,
  • We already showed here that the convolution of two continuous distributions takes the form : We'll illustrate the concept of convolution of two continuous distributions by calculating the convolution of two normal distributions, two Cauchy distributions and two Gamma distributions. — “Convolution”,
  • Now we are in a position to set up a Pop-11 array to act as a convolution mask for horizontal differencing. Do not forget that row numbers in convolution masks increase upwards; if you have difficulty with the boundslists or setting the. — “Sus*** Computer Vision: TEACH VISION2”,
  • The Convolution Integral. The time domain output of an LTI system is equal to the convolution of the impulse response of the system with the input signal. Much simpler relationship between frequency domain input and output. First look at graphical interpretation of convolution integral. — “integral”, faculty.etsu.edu
  • 12.10 Convolution for the Laplace Transform. This section is a continuation of our Convolution will assist us in solving integral equations. Theorem. — “Convolution for Laplace Transform”, math.fullerton.edu

Images
related images for convolution

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  • with the processing method s Equal Error Rate The curves are generated by gathering false rejection rate and false acceptance rate pairs over a varying threshold Convolution Methods
  • is a choice of either a top hat function or three grades weak medium strong of Gaussian blur This allows the convolution operation to be tuned to the patterns in specific data sets This image demonstrates the power of a convolution for enhancing the signals from individual fish In this case a 13 x 5 moderate strength Gaussian blur was applied to the raw TS data The
  • t goes to ±∞ the orbit spirals to the origin Looking at the picture it is clear that the tail of the empirical characteristic function is not so smooth at the portion near t = 0 The graph below shows the empirical characteristic function convolved with itself There is smoothing of the tail but some distortion of the mid portion of the function
  • function in three dimensions in blue In red is the plot of the empirical characteristic function of a stable random sample with the same parameters The sample size is 1000 Each random variable can be imagined as an orbit in the complex plane The orbit of the characteristic function of a single random variable is the unit circle with the value of the
  • we divide by a Scalar value which is the sum of the matrix weights This diagram illustrates how a filter matrix is applied to an image
  • Bernhard Schweitzer tells me that Vin Co makes puzzles as small as my mini Convolution Then there s only one thing to do for me make an even smaller version You can see it here next to the 2cm version The new one is 12x12x12 mm and made in amarant purpelheart and olivewood I claim this to be the smallest Convolution puzzle ever made Anybody
  • Chris McMullen Modern Convolution powder coated steel belts pulleys scissors and work table 52 x35 x165 2008 photo Francis Zera
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  • not could this be the largest Convolution puzzle ever made It s 28x28x28 cm and weighs in at 15 5kg The small one to the left is a normal size version 8x8x8 cm While we are at it could this be the smallest Convolution puzzle I know Allan Boardman makes tiny puzzles but I don t think he makes glued ones like Convolution The puzzle is 2x2x2 cm and weighs 5 3g The one
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  • We Are From There
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  • After a short while to implement the function I was pleasantly suprised at the quality of the results I go from this unfiltered result notice the size of the shadow map texels Using hardware mip mapping and a 5x5 gaussian blur on the same shadow map I get the following result
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  • the scanner system does a poor job of transmitting the input signal If imaging systems were entirely perfect they would be represented as square waves 1 0 or perfect signal transmitters The process of scanning the target can be visualized as an integration of the two functions The final result of this process is a third function with characteristics of both the scanner
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  • separate functions One can also invert this result to state that f g =F 1 F f x F g x This last form can help in the evaluation of some complicated integrals We demonstrate this HERE for the case of the rectangular pulse f x =+1 for 1<x<=1 and zero everywhere else and the function g x =1 1+x2 After some manipulations which I leave for the reader to carry out
  • out there on the net who makes oversized versions of interlocking 3d wood puzzles I know about the large Dutch version of Soma but that is not interlocking SOMA News If not could this be the largest Convolution puzzle ever made It s 28x28x28 cm and weighs in at 15 5kg The small one to the left is a normal size version 8x8x8 cm While we are at it could this be the
  • Chrono Symphonic will be presented in the Promenadikeskus Concert Hall in Pori Finland It took me a while and the last contenders were the Vredenburg Hall in the Netherlands the Philips Hall in the Netherlands the Todd AO Scoring Stage in Los Angeles and the Promenadikesus
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  • Figure 3 1 This is a rendering of Nordic Mountain showing varying degrees avalanche terrain
  • > convolution > mandelbrot
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Videos
related videos for convolution

  • Signal Processing Tutorial: Continuous-Time Convolution Example (Part 1 - Intro) FreedomUniversity.tv, john@e-, 719-963-5873. Contact Professor Santiago for multimedia ebooks. DVDs & online access for Convolution Example Transform property & other topics. Part 1 serves as an introduction to the convolution integral after discussing the discrete-time convolution based on previous videos. You can view the convolution as the inverse Laplace Transform of Y(s)=H(s)U(s) where Y(s), H(s), and U(s) are the Laplace Transform of the output response, impulse system response, and input signal, respectively. DVDs are in progress and are based on market demand on selected topics.
  • Convolution Reverb - DIY Impulse Responses Video: Part 3 The ability to sample a space and synthesize its acoustic properties is the main reason convolution technology was developed for the audio world. In this, the third section of the series on convolution, Dan takes you through the steps of doing just that. Check out these links for the other sections of this series: -Part 1: The Digital Noise Burst Method -Part 2: The Sine Sweep and Deconvolution Method -Part 4: Non-Reverb Impulses Stay tuned because all the IR's made in this series (and perhaps a few others) will be made available for free download next week!
  • Signal Processing Tutorial: Discrete-Time Convolution Sum Reference: A tutorial on the discrete time convolution, convolution integral, linear time invariance, and linearity
  • Signal Processing Tutorial: Convolution Integral www.FreedomUniversity.TV. A short mathematical review of a convolution to explain sampling. The input signal is an impulse. Convolution is a time domain description of system output resulting from the interaction between a system and its input. Laplace transform describes this behavior in the frequency (or LaPlace) domain. These videos are in pre-production and will be replaced with the final versions.
  • Convolution Reverb - DIY Impulse Responses Video: Part 2 In this video Dan demonstrates a completely different method of creating impulse responses (or IR's) to use with convolution programs. The method of using sine wave sweeps across the audible frequency range is very much superior to the method of digital noise bursts. Watch as Dan creates the sine sweep, feeds it through his spring reverb unit, and using a method called deconvolution, creates an accurate and noise free IR. The deconvolution tool use in this segment is part of Apple Logic Pro's convolution program called perfewct space. While this is quite a nifty feature ther are other convolution tools out there, most notably Voxengo Deconvolver. Check out these links for the other sections of this series: -Part 1: The Digital Noise Burst Method -Part 3: Sampling a Real Space -Part 4: Non-Reverb Impulses The impulses created in this series will be made available for free download in the near future. Also, stay tuned for the next section of this series where we take an impulse response of the Gearwire Studio.
  • Convolution cabinet simulation demo This is really just me playing with "tone stuff" ;-) I went looking for (free) software cabinet sims (that wouldn't expire after I got to like them :-p ) and found out about convolution, and impulse responses, and such. It seems this is mostly (?) used for reverb and such, but it also works with other things - like guitar cabinets. 8) So ... I downloaded a Mac Audio Unit plugin called LAConvolver, found a bunch of impulse responses, and started playing with them in Garageband. So for this recording I've got my Ash Customworks "Catherine" guitar, into my AMT Electronics California Sound distortion pedal, into my Boss CE-5 chorus, into my iMac, running Garageband, and LAConvolver. The track got cut short as Garageband threw a spak for some reason. Never mind .... I hope you like it. If so, please rate/subscribe/friend/favourite/comment/ whatever ;-)
  • Drumagog 5 Platinum Morph|Engine and Convolution Reverb Two effects processors included with the Platinum edition of Drumagog 5. . Morph|Engine and custom IR Library designed with MoReVoX sound designer Sabino Cannone.
  • Procedural Noise using Sparse Gabor Convolution Procedural Noise using Sparse Gabor Convolution Ares Lagae, Sylvain Lefebvre, George Drettakis and Philip Dutré SIGGRAPH 2009 Technical Papers www.cs.kuleuven.be Noise is an essential tool for texturing and modeling. Designing interesting textures with noise calls for accurate spectral control, since noise is best described in terms of spectral content. Texturing requires that noise can be easily mapped to a surface, while high-quality rendering requires anisotropic filtering. A noise function that is procedural and fast to evaluate offers several additional advantages. Unfortunately, no existing noise combines all of these properties. In this paper we introduce a noise based on sparse convolution and the Gabor kernel that enables all of these properties. Our noise offers accurate spectral control with intuitive parameters such as orientation, principal frequency and bandwidth. Our noise supports two-dimensional and solid noise, but we also introduce setup-free surface noise. This is a method for mapping noise onto a surface, complementary to solid noise, that maintains the appearance of the noise pattern along the object and does not require a texture parameterization. Our approach requires only a few bytes of storage, does not use discretely sampled data, and is nonperiodic. It supports anisotropy and anisotropic filtering. We demonstrate our noise using an interactive tool for noise design.
  • Properties of Continuous-Time Convolution A short explanation that convolution is commutative, associative, and distributive. In addition, an explanation of what happens when you convolve a signal with a delta function. This video is one in a series of videos being created to support EGR 433:Transforms & Systems Modeling at Arizona State University. Links to the other videos can be found at
  • Response of an LTI System: Convolution Shows how the response of an LTI system to an arbitrary input is obtained as the convolution of the impulse response of the system with the input. This video is one in a series of videos being created to support EGR 433:Transforms & Systems Modeling at Arizona State University. Links to the other videos can be found at
  • Convolution Examples & Convolution Integral FreedomUniversity.tv, john@e-, 719-963-5873. Contact Professor Santiago for multimedia ebooks. & online access for Convolution Example Transform property & other topics.
  • CONVOLUTION - Ken's woodworking project This is a collection of wood mechanisms driven by a common wood crank. The entire project is wood, no nails, screws, wires, etc. Each assembly is removable. The wood is primarily common pine with some black walnut. Total time required was about 4 months with the majority in the design phase. I was going to add more to the open sides and the interior but decided against it for two reasons; one - it would require more cranking power and two, it would make it difficult to see the existing interior mechanicals. Plus, it now leaves the door open for another possible project to explore more wood mechanisms. In reviewing the audio I mistakenly said there is wire in this thing but not so, it is all wood
  • GPU Convolution Impulse Reverb FX VST using NVIDIA / ATI graphics, 0% CPU usage Small sample of a new GPU Impulse Reverb VST plugin for all VST compatible hosts. The plugin utilizes NVIDIA Geforce or ATI Radeon HD graphics for the full calculation process, resulting in a CPU usage near 0%, no matter how long your impulse responses are. The used NVIDIA card, a Geforce 8600 GT is a very low end card but is still able to run many instances, just imagine what you can do with a high-end graphics card. Fore more info, demo download, ordering, visit
  • Lecture - 5 LTI Systems Step & Impulse Responses,Convolution Lecture Series on Digital Signal Processing by Prof.S. C Dutta Roy, Department of Electrical Engineering, IIT Delhi. For More details on NPTEL visit nptel.iitm.ac.in
  • Convolution and Correlation part 1 In this lecture, we'll learn about two mathematical operations that are commonly used in signal processing, convolution and correlation. The convolution is used to linearly filter a signal, for example to smooth a spike train to estimate probability of firing. The correlation is used to characterize the statistical dependencies between two signals.
  • Introduction to the Convolution
  • Signal Processing Tutorial: Discrete-Time Convolution Examples (Inverse z-Transform) FreedomUniversity.tv, john@e-, 719-963-5873. Contact Professor Santiago for multimedia ebooks. DVDs & online access for Convolution Example Transform property & other topics. You can view the convolution as the inverse z-Transform of Y(z)=H(z)U(z) where Y(z), H(z), and U(z) are the Laplace Transform of the output response, impulse system response, and input signal, respectively. DVDs are in progress and are based on market demand on selected topics.
  • 11 - Convolution A discussion about convolution and how we calculate it in digital systems. This lecture is adapted from the ECE 410: Digital Signal Processing course notes developed by David Munson and Andrew Singer
  • Loading IR into Convolution Reverb, Space Designer Logic Studio with Impulse Response, AudioTools
  • Convolution and Correlation part 2 In this lecture, we'll learn about two mathematical operations that are commonly used in signal processing, convolution and correlation. The convolution is used to linearly filter a signal, for example to smooth a spike train to estimate probability of firing. The correlation is used to characterize the statistical dependencies between two signals.
  • Horacio Vaggione - Consort for Convolved Violins Horacio Vaggione: Consort for Convolved Violins (2011) Dedicated to Max Mathews - In Memoriam. I had taken some liberties with the "scientific" figures (as mirroring and duplication), as well as with the definition of convolution, which needs to be much more accurate. For something more, see the references in: recherche.ircam.fr See also: Figure 4b by Curtis Roads
  • Matlab Examples - Review of Discrete Convolution using Matlab www.FreedomUniversity.TV. A series of video Matlab examples about using Matlab to solve a variety of problems. This one involves finding the output response due to an input using the discrete-time convolution. For more videos on these and other topics, please contact me at john@e- or visit the above website.
  • van Gogh "Sunflower" animated by CA Convolution van Gogh "Sunflower" painting animated by a "cellular automata convolution". This painting was generated by Seurat: www.automatous-
  • Lec 21 | MIT 18.03 Differential Equations, Spring 2006 Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
  • Howard Riley-Tony Oxley Orchestra - Convolution Howard Riley-Tony Oxley Orchestra - Convolution An excerpt from a concert of a live radio broadcast in Hamburg, Germany on Jan. 23, 1970. Kenny Wheeler (trumpet, flugelhorn) Manfred Schoof (trumpet, flugelhorn) Paul Rutherford (trombone) Michel Pilz (bass clarinet, alto sax) Gerd Dudek (clarinet, tenor sax) Evan Parker (sprano sax, tenor sax) Howard Riley (piano) Derek Bailey (guitar) Jeff Clyne (bass) Barry Guy (bass) Tony Oxley (drums) Alan Jackson (drums) Image: Rene Binet (the architect)
  • Wwise Convolution Reverb - Tutorial Tutorial video in Audiokinetic Wwise showing the Convolution Reverb. The convolution reverb effect plug-in is a testament to Audiokinetic's commitment to innovation and high-quality audio processing. Like visual artists seeking for photo realistic rendering, Audiokinetic's convolution reverb is a technology that authentically recreates acoustical spaces. In essence, it creates reverberation based on samples of real spaces. This means that any physical space, from a plane ***pit to the Taj Mahal, can be reproduced as long as you have a sample (an impulse response) of the room. Convolution Reverb Specifications: - Runs on all platforms (render mode only for the Wii) - 20 impulse responses and 55 factory effect ShareSets are packaged with the reverb - Supports all channel configurations up to 5.1 - Impulse responses can be imported. (PCM, Mono and stereo, 16 and 24 bit, Any sample rate up to 96kHz)
  • SoundHack 3a: Convolution Introduction to SoundHack (legacy processing tool for Mac, but one that's still powerful and worth exploring) by Tom Erbe. You can download SoundHack free at Demonstrating Convolution
  • Convolution Example: Two Rectangular Pulses Part 1 Part 1 of an example of computing the continuous-time convolution of two rectangular pulses. This video is one in a series of videos being created to support EGR 433:Transforms & Systems Modeling at Arizona State University. Links to the other videos can be found at
  • Using the Convolution Theorem to Solve an Initial Value Prob Using the Convolution Theorem to solve an initial value problem
  • Convolution Example: Unit Step with Exponential Part 1 An example of computing the continuous time convolution of a unit step function with an exponential function. This video is one in a series of videos being created to support EGR 433:Transforms & Systems Modeling at Arizona State University. Links to the other videos can be found at
  • Moonbeam Convolution (AGEN Mix) Late Late Late Night jams on Ableton Live
  • FL Studio's Edison -- Convolution Reverb Blur EQ Denoise (8/11)
  • Convolution Reverb - DIY Impulse Responses Video: Part 4 In this final installment of the series on DIY impulse responses for convolution we sample a few things you wouldn't neccesarily think to use in a convolution program. First off a shoebox, second a distortion pedal, and thirdly a delay. There are also a few tidbits on controlling samples so that they work correctly and how to change parameters once deconvolution has taken place. Did you know that you can change the delay time of a convolution delay? Check the following links for the other sections of this series: -Part 1: The Digital Noise Burst Method -Part 2: The Sine Sweep and Deconvolution Method -Part 3: Sampling a Real Space Also stay tuned because we will make all the impulses created in this series available soon along with some bonus files.
  • The Convolution and the Laplace Transform Understanding how the product of the Transforms of two functions relates to their convolution.
  • GPU Convolution Reverb VST using NVIDIA / ATI GPU - no CPU usage 2nd demonstration of the GPU Impulse Reverb VST plugin. The plugin utilizes NVIDIA Geforce or ATI Radeon HD graphics for the full calculation process, resulting in a CPU usage near 0%, no matter how long your impulse responses are. The used NVIDIA card, a Geforce 9800 GT is a very low end card but is still able to run many instances, just imagine what you can do with a high-end graphics card. This is a demonstration video of an updated version. New features include low latency (one ASIO blocksize down to 64 samples), 2-Band EQ and overall better performance. For more info visit
  • Convolution Theorem for y'-2y=e^t, y(0)=0 ODEs: Using the Convolution Theorem, find the solution to the IVP y'-2y=e^t, y(0)=0. We solve by using the Laplace Transform; the Convolution Theorem is used instead of partial fractions.
  • Convolution Reverb - DIY Impulse Responses Video: Part 1 This is the first in a series of videos covering the ins and outs of creating your own impulse responses (IR's) for use with convolution reverbs. In this section Dan demonstrates the simplest way to get a response. The method of using a short burst of white noise fed through a reverb unit is the easiest way to get an impulse. However there are some pitfalls to this method. Check out these links for the other sections of this series: -Part 2: The Sine Sweep and Deconvolution Method -Part 3: Sampling a Real Space -Part 4: Non-Reverb ImpulsesAlso, all the IR's from these videos will soon be available for free download.
  • Signal Processing Tutorial: Discrete-Time Convolution Examples (Part 1 - Intro) FreedomUniversity.tv, john@e-, 719-963-5873. Contact Professor Santiago for multimedia ebooks. DVDs & online access for Convolution Example Transform property & other topics. This is an introduction to the convolution sum before giving you an example in Part 2. You can view the convolution as the inverse z-Transform of Y(z)=H(z)U(z) where Y(z), H(z), and U(z) are the Laplace Transform of the output response, impulse system response, and input signal, respectively. DVDs are in progress and are based on market demand on selected topics.
  • McDSP Revolver Convolution Reverb Colin McDowell demonstrates the Revolver convolution reverb plug-in. Revolver is a super powerful convolution reverb that comes with a large impulse response library. Revolver has many unique controls to allow to dial in and customize the impulse response. Often, an impulse response is close to what you want, but you wish that you could tweak it. Revolver gives you controls to do just that. These controls are unique and only available from McDSP. McDSP also has a large impulse response library from Revolver that you can download from their website. And, Revolver comes with two plug-ins to allow you to create impulse responses yourself.
  • Vienna Suite 1.1 Convolution Reverb Vienna Suite 1.1 with Convolution Reverb - learn more about the amazing update and its features.

Blogs & Forum
blogs and forums about convolution

  • “Forum: Skudge - Convolution / Contamination It will give you unadulterated access to the forum, the podcast, receive the weekly newsletter, rate DJs, enter competitions and”
    — RA Forum: Skudge - Convolution / Contamination,

  • “Creating Cinematic Soundscapes With Convolution Reverb: A ComposerFocus Article Young Composers Music Forum > Educational > Advice and Techniques. View New Content. Sponsors. Page 1 of 1. You cannot start a new topic. You cannot reply to this topic. Creating Cinematic”
    — Creating Cinematic Soundscapes With Convolution Reverb,

  • “Pro Tools Training, a ProMedia Training Company”
    Convolution Reverbs in Pro Tools | Tip and Trick | ProMedia Blog,

  • “Archived from groups: rec.audio.pro (More info?) Does the SPL of the impulse have to be about the same as the max SPL of the sound to which reverb is to be added? If not, won't the reverb be un”
    Convolution Reverb q - Pro-Audio - Audio,

  • “Blog. Posts Tagged Fast Convolution' Keflex For Sale. Tuesday, November 3rd, 2009. Keflex and that this breaks some basic symmetries in correlation that are found in convolution”
    — Keflex For Sale - Online DrugStore,

  • “It's actually fairly straight forward, but before that I should just recap what a convolution is. post in this blog was FAS Societies Map. The next post in this blog is Stampede Parade”
    — matplotlib convolution animation ( Blog),

  • “It isn't clear to me that you want convolution. From your description, it sounds like you want a running sum For an example of Convolution, you can import Samples\Signal Processing\Convolution.dat and see how the Signal data (collected from a noisy”
    — The Origin Forum - convolution,

  • “Coordinates of convolution. As can be seen from the definition, an atom of the convolution of 2 nouns is equal From the definition of convolution, it is rather obvious that the shape of the convolution is 1 less than the sum of the shapes,”
    — RE Boss/J-blog/(De)Convolution - J Wiki,

  • “The convolution of two functions and is denoted with the convolution operator. For example, the convolution sum for a 2-dimensional function is”
    — Thesis Blog " Introduction to Signal Processing,

  • “Even the sampling and averaging that occur in the CCD can be described by a convolution. convolution by applying the Fourier transform to both the image and the convolution”
    — Cris's Image ***ysis Blog " convolution, cb.uu.se