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Results tagged with gaussian
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user 128
The gaussian function, an exponential function with a negative square of the argument in the exponent, is interesting in signal processing because the Fourier Transform of a gaussian function is also a gaussian function.
2
votes
How to Generate Band Limited Gaussian White Noise in MATLAB?
Full description is given here - How to Simulate AWGN (Additive White Gaussian Noise) in Communication Systems for Specific Bandwidth. …
- 20.5k
3
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Accepted
Gaussian Filter Close to Image Border
Pixels outside the image borders must be extrapolated.
Now, you need to chose the model of your extrapolation.
For instance, if you're working within the Discrete Fourier model a periodic extrapolati …
- 20.5k
1
vote
Accepted
Simulating Range Bearing Sensor with MATLAB with Gaussian Noise (Generating Gaussian Colored...
You can do that by multiplying the Lower Cholesky Decomposition of matrix by a column vector of Gaussian noise. Yet since you assume no correlation, you can do that by independent multiplication. …
- 20.5k
1
vote
Accepted
Are There Common Values of Standard Deviation for Gaussian Noise of an Image?
You can easily have a look on the values of the STD on Image Denoising Papers:
The range of 1-15 is considered low.
The range 15-30 is considered medium.
The range 30-50 (Even above) is considered h …
- 20.5k
1
vote
Accepted
Why Does the Odd Multiple of $ \frac{\pi}{4} $ on Gaussian Cause Loss in Repeatability Under...
The answer boils down to 2 issues with the practical approximations of the Gaussian Kernel:
Though the Gaussian Kernel is radially symmetric its discrete approximation has a rectangle support. … If I remember correctly, the SURF algorithm uses Box Blur based approximation of the Gaussian Kernel. …
- 20.5k
1
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Additive White Gaussian Noise (AWGN) and Undecimated DWT
One property of Orthogonal Transformations is that White Noise stays White (Uncorrelated) under Orthogonal Transformations (One could say it's a property of White Noise).
Usually this property assi …
- 20.5k
2
votes
Parameters of Gaussian Kernel in the Context of Image Convolution
Some in practice remarks:
The Gaussian Kernel is Separable hence if implemented as FIR filter it is implemented as 2 1D Convolutions - Along rows and along columns. … You may have a look at Fast Gaussian Blur GitHub Repository for IIR and Box Blur implementations which are insensitive to the radius parameter. …
- 20.5k
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Accepted
What Are Different Approaches to Realize a Gaussian Blur (Smoothing) Step on an Image?
You may have a look on my project - Fast Gaussian Blur.
Update
Meaning of FIR
In this context FIR is the coefficients which are utilized to create the convolution kernel. … Size of the kernel (The STD of the Gaussian Kernel).
The Quality required. …
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1
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Why Does the Kalman Filter Remove Only Gaussian Noise?
The thing with the case with Gaussian Noise is that Gaussian Process can be fully represented by its mean and covariance. … In the case of Gaussian Process that is all needed. …
- 20.5k
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Accepted
Generate Complex White Gaussian Noise in MATLAB
If you want a Circular Complex Gaussian Noise (Independent):
vComplexNoise = sqrt(noiseVar / 2) * (randn(1, numSamples) + (1i * randn(1, numSamples)))
For correlated noise you'll need to define the …
- 20.5k
2
votes
Accepted
How Is Laplacian of Gaussian (LoG) Implemented as Four 1D Convolutions?
The trick is that you can calculate the 2nd derivative of the image (Using Finite Differences -> Convolution) and then blur it with Gaussian Filter. … Filter Ixx with 1D Gaussian Kernel along the x direction.
Do the above for the y direction as well.
The LoG image is the sum of both.
To answer your questions:
See my explanation above. …
- 20.5k
1
vote
Accepted
Fast Recursive 1D Signal Smoothing - IIR / Auto Regressive Implementation of Gaussian Smoothing
Have a look at my Fast Gaussian Blur Project at GitHub.
You will find there implementation of IIR Approximation of Gaussian Blur which implements the following papaers:
Recursive Gabor Filtering. … Recursive Implementation of the Gaussian Filter.
Boundary Conditions for Young - van Vliet Recursive Filtering.
The idea is pretty straight forward. …
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2
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The Effect of the Standard Deviation ($ \sigma $) of a Gaussian Kernel when Smoothing a Grad...
First, let's have a look on a few different Gaussian Kernels:
As expected, they are wider as the Standard Deviation (STD) increase. …
- 20.5k
0
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Comparison Between Average Kernel (Box Kernel) and Gaussian Kernel
If you pre calculate the filter coefficients the complexity of the convolution is set by its radius only.
Yet, if all coefficients are the same, it could be reduced into summation and one normalizatio …
- 20.5k
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Use Scale Space Representation to Filter Single Image
I used factor 5-6 going from the Standard Deviation (Std) of the Gaussian to the Kernel:
radius = ceil(6 * STD);
Though it means more computation power is required. …
- 20.5k