Is Multifractal Analysis the Key to Removing Clutter in Radar Images?

  • Thread starter Thread starter quark80
  • Start date Start date
  • Tags Tags
    Curve
AI Thread Summary
The discussion centers on the application of continuous multifractal analysis in radar image processing to reduce clutter. A participant initially questions the validity of their findings, noting that their results yield f(α) = α for all examined q values, indicating a mono-fractal rather than a multifractal nature. They later confirm this conclusion through a related paper discussing Cantor sets. Another user seeks guidance on implementing multifractal analysis techniques, specifically regarding the double trace moment in their thesis work on radar images. The conversation highlights the challenges and confirmations in applying multifractal methods to radar data.
quark80
Messages
61
Reaction score
0
Has anybody ever come across a dataset which does the following?

I use the continuous multifractal (method of moments) technique to derive for a range of q
\tau , \alpha , f(\alpha )

However I find that f(\alpha ) = \alpha for every value q being examined. Therefore there is strictly no hyperbola for the f(a) curve and the data is therefore can't be multifractal. Right?

Thanks in advance :smile:
 
Mathematics news on Phys.org
Never mind.

Found a paper which discusses the issue in relation to Cantor sets :)

Apparently it just means that it's mono-fractal and not multifractal. Which is what I thought, this paper just confirmed it.

Mods feel free to delete post if necessary.
 
multifractal analysis

Hi all,

I am preparing a thesis at the multifractal and fractal analysis of radar images, to automatically set and remove clutter. I came to develop programs telque boxcountig function and of codimension years .. but I stopped confused when is about to determine the double trace moment ..any idea or just signs from you make me be grateful.

Thanks in advance
 
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Similar threads

I What Key Issues Should Cosmologists Address in the ΛCDM Model?
Replies
1
Views
3K
A suggestion for dolphin communication.
Replies
6
Views
6K

Hot Threads

Recent Insights

Back
Top