Questions tagged [inverse-problem]
The inverse-problem tag has no summary.
94 questions
2 votes
0 answers
64 views
Estimate Spatially Variant Kernel by a Pair of Sharp and Blurred Images
A typical problem in signal processing (image processing in particular) is deblurring, trying to reconstruct a sharp image from the blurred image. When you don't know how the signal was blurred, this ...
- 21
3 votes
2 answers
443 views
General solution that have the rectangular function as amplitude of the Fourier transform?
The sinc function has as Fourier transform the rectangular function. However, this is only one function that produces the rectangular function as amplitude response. Supposing that you are only ...
- 31
2 votes
3 answers
647 views
Remove Wave Patterns from an Image Using Inpainting
I have been struggling to remove wave like patterns from my image. I tried FFT (Fourier Transform) and it wasn't good. I came across with inpainting and it looked promising but I don't know how to use ...
- 31
0 votes
2 answers
418 views
ADC response inversion to Gaussian noise
Assuming the input to an ADC is a Gaussian white noise signal, and being a bit idealistic in all senses, is there a theoretical expression that links input power to output power which can be inverted, ...
- 41
3 votes
1 answer
116 views
What does the $H$ operator exactly do in the deconvolution process and why is it needed?
According to Deblurring Dynamic Scenes via Spatially Varying Recurrent Neural Networks, given a 2D sharp image $x(m, n)$ and a blur kernel $h(k, l)$, the blurred image is obtained as $$ y(m, n) = (x*h)...
- 411
1 vote
1 answer
116 views
Consistent reconstruction of image from partial images
I am given a set of $N = 649$ color PNG images, each of size $W \times H \times 3 = 586 \times 689 \times 3$. The corresponding pixels in each image represent the same object. Many of the pixels in ...
- 263
1 vote
1 answer
201 views
Matrix-vector multiplication representation of Total Variation function
I'm reading a paper - Total Variation Superiorized Conjugate Gradient Method for Image Reconstruction on total variation regularization and conjugate gradients. In page $3$, the authors define the ...
- 113
4 votes
1 answer
200 views
The Different Solutions for Filter Coefficients Estimation for Periodic Convolution and Full Convolution
As a continuation of the question Least Squares Solution Using the DFT vs Wiener Hopf Equations raised by Dan Boschen. The question is, given the model: $$ \boldsymbol{y} = \boldsymbol{h} * \...
- 21k