What is the basis for bessel function as we have for wavelet

AI Thread Summary
The discussion centers on the basis of Bessel functions and their applications in image processing, similar to wavelet functions. Participants highlight the extensive uses of Bessel functions, particularly in image segmentation and defocusing. One user expresses interest in specific applications and seeks guidance on how to implement Bessel functions in image processing tasks. The conversation suggests that further research, including targeted searches for Bessel function applications in image segmentation, could yield valuable resources. Overall, Bessel functions are recognized as versatile tools in various image processing techniques.
Gunjang123
Messages
2
Reaction score
0
Hi,

I have recently studied about basis for wavelet function which is helpful to design any function. Likewise, what is the basis for bessel function and how can it be implemented for an image ( because image is also a function). Specifically, I am interested to know how bessel function can be used in image processing.
 
Mathematics news on Phys.org
Have you tried googling "use of bessel function in image processing"?
There are many many uses - too many to handle here.
 
Simon Bridge said:
Have you tried googling "use of bessel function in image processing"?
There are many many uses - too many to handle here.
Hi Simon,

Yes I tried googling it and found different applications including defocussing etc but segmentation. Could you give some direction ?
 
Did you google for "use of bessel function in image segmentation"?
When I do I find articles and books covering the subject.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Back
Top