# Questions tagged [convolution]

Tags for questions about convolution, including the Mathematica functions Convolve, DiscreteConvolve, ListConvolve, DirichletConvolve, ImageConvolve, and convolutions using Fourier, FourierTransform, or LaplaceTransform.

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### Implementation of the Riesz transform

Implementing the Hilbert transformation \begin{equation}H(f)(x) = \frac{1}{\pi}\lim_{\varepsilon \to 0} \int_{|x-y|>\varepsilon} \frac{1}{x-y}f(y) \, dy,\end{equation} appropriate for 1-...
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### How to make 3D object smooth?

This thread considers mathematical methods here to make the 3D object smooth but this question consider how to achieve the goal of smoothing a 3D object in Mathematica. I want to get smoother ...
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### Use List convolve for aligning images

I am trying to align images of point spread functions using a convolution. Before doing it on real data, I wanted to try on simulated data. I have no problem with the 1-D case where I create 2 ...
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### Visualizing Trained Filters

In the first convolutional layer of NetModel "Wolfram..." , the parameters of the filter are 64 (number of filters), and 112x112 (size). The last convolutional layer has 192 55x55 filters. What ...
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### Performing a convolution for smoothing a function

I want to smooth a one-dimensional oscillating function by convolving it with another function that I'll call the screening function. This screening function should have a trapezoidal form and go to ...
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I am trying to understand EXACTLY what the GradientFilter function in Mathematica is doing. As far as I can tell, it appears to be doing a convolution of a first derivative of a Gaussian with the ...
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### Partial convolution of random variables in random vectors

Suppose $(X_1,Y_1)$ is a bivariate random vector with a given distribution and let $X_2$ be a univariate random variable with the same distribution as $X_1$ but independent of $(X_1,Y_1)$. I want to ...
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### How to solve ode with convolution?

my question is as this and i want to get the solution of this ode x(t) \$ ({M_{33}}{\rm{ + }}{{\rm{m}}_{33}})x''(t) + \int\limits_{ - \infty }^t {x'(tau){K_{33}}(t -...
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### Convolve and Plotting

I want to convolute my equation with Gaussian function.I used following code for it but it does not give the output? How do I correct it ...
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### Convolution of an Image with Gaussian sigma = 1

I'm new to image processing and I've been testing out different Gaussian blur filters. Out of curiosity, I generated an object that is a 2D Gaussian with sigma = 1. I convolved this object with a ...
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### Convolve[…] behaves differently to that of Integrate[…] when numerically integrating the result

I am performing a convolution between two functions, and then I want to numerically integrate the result. If I go: ...
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### Normalization and boundary issues with numerical convolution (ListConvolve function)

I have a somewhat messy piece-wise function that I need to convolve with a Gaussian function. Solving the problem analytically is taking forever so I would like to solve the problem numerically. ...
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### Convolve returns false result

Bug introduced in 9.0 or earlier and fixed in 10.0 I tried to convolve sin with sin and got this unexpected result: Convolve[Sin[x], Sin[x], x, y] (* 0 *) Now I ...
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### Convolution of circular densities

I have two distributions. One is a delta function which is non-zero on a circle at radius 1, the other is filled circle of the same radius. When I calculate their convolution I get something very ...
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### Crosscorrelation for nonperiodic signals

I want to detect patterns (of an absorption spectrum which is nonperiodic) with Mathematica automaticly. I have found CorrelationFuncion but as far as I understand, ...
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### Mathematica does not calculate inverse fourier transformation or the convolution of two functions

I am trying to take convolution of a Gaussian function with an exponential function. Mathematica couldn't calculate it. ...
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### Derivatives of Convolutions with Integration by Parts and Delta Functions

I am not even certain how to approach this problem. f[x] is a pdf: positive definite, normalized, and approaching 0 at +/- Infinity p[x] is f[x] convolved to a normal dist of mean = 0, variance = v. ...
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### Discrete convolution power

In my previous question we have discussed the posibility of various definition of convolution of power function within Mathematica. Now the question is "How to define convolution power in Mathematica ?...
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### Convolve taking too long and producing error message Integrate::idiv:

The following functions do not produce an output."f1" is a convolution of Gaussian function and my model. It took too much time and gave an error message. I have attached that error message also. How ...
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### Convolve and fitting

I want to convolve two equation, then I want to find the parameters. But it doesn't give the answer and Takes too much time. What is the wrong with my code? ...
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### Help with Plot excluding parts of a curve even with “Exclusions” option set to “None” and speed up of code

I modeled a system mathematically. When the model is ideal, I can plot the results and export the plotted points. Everything works fine. Now, I started to model some imperfections of the system, but ...