Tagged Questions
2
votes
1answer
51 views
Unclear on relationship between different dimensionalities of Fourier transform
This is probably a silly question, but it's one that's directly relevant to a project of mine and I figured this was the place to go.
I have some objects that contain a 1d and a 2d array of double ...
6
votes
1answer
139 views
A Mathematical way to represent a image kernel?
How to represent the calculation in this image mathematically?
For example: With the discrete convolution
and Fourier Transform.
It tries to do a calculation on the original image (image A/input) ...
2
votes
0answers
60 views
2-D DFT of a matrix PxP and 1-D DFT of a vector of size P^2?
What is the difference between the following two things:
make a 2-D Discrete Fourier Transform of a certain matrix A[p,p],
first reshape this matrix into a 1-D vector a[p^2,1], and compute the 1-D ...
0
votes
1answer
31 views
Quantization Uniform
Let the output of image sensor take values between 0 to 10. If the samples are quantized uniformly to 256 levels, show that transition and reconstruction levels are
$$t_k=\dfrac{10(k-1)}{256},\, ...
0
votes
0answers
73 views
Help me understand “Iterative Amplitude Adjusted Fourier Transform”
I am doing my final year M.Tech (Computer Science) project in Image Processing. I came across a method to remove non-linearity in the images by using surrogate images.
In order to generate surrogate ...
1
vote
0answers
146 views
Projection Slice theorem getting rid of artifacts?
I have employed the fourier(projection) slice theorem in matlab. I have a 3D image, P(x,y,z) defines their pixel intensities at a given location int he image volume, it is discrete and uniform. I ...
2
votes
3answers
291 views
The mathematics behind Fourier Transform for Image Processing
I am following http://homepages.inf.ed.ac.uk/rbf/HIPR2/fourier.htm . I understand the application of Fourier Transform behind Image Processing, but right now, I am curious about the mathematics behind ...
0
votes
2answers
750 views
DFT and DWT difference?
what is the basic difference between the Discrete Fourier Transform and the Wavelet Transform ? and why does JPEG2000 preferred DWT over DCT or DFT ?
5
votes
3answers
3k views
What does the Fourier Transform mean in the context of images?
This is clearly a very important equation with tonnes of properties that I see come up a lot in image processing literature, but I don't understand why this equation is important, and what it is ...
3
votes
2answers
100 views
How can I measure the properties of a Point Spread Function?
What quantity or property can I use that describes by how much a point spread function distorts/blurs an image?
4
votes
2answers
2k views
Why is 8x8 matrix chosen for Discrete Cosine Transform?
In JPEG and MPEG, why is 8x8 matrix chosen for Discrete Cosine Transform? Why not any other, say 64x64?
