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 Dec19 awarded Popular Question Jan17 asked integer S transform Jan14 revised integer transform added 9 characters in body Jan13 asked integer transform Jan13 comment integer transform Thanks for reply. I modified the questions to be more clear. Jan13 revised integer transform added 19 characters in body Jan13 awarded Editor Jan13 revised integer transform added 19 characters in body Jan12 asked integer transform Jan12 comment reversible integer transform Thanks for clarifications. Jan12 comment reversible integer transform 2*x'+y'=2*(x+(x-y))+y-(x-y)=2*x+x-y+y=3*x and 2*y'+x'=2*(y-(x-y))+x+(x-y)=2y-2x+2y+2x-y=3y. So the transform map integer pairs to integer pairs. Jan12 awarded Student Jan12 asked reversible integer transform Jan12 comment Fourier transform in cylindrical coordinates $*$ is scalar product Jan12 comment Fourier transform in cylindrical coordinates Thanks for information. I read again and I understood your response. The basic algorithm is: -transform Cartesian coordinates in cylindrical coordinates. In Matlab exist the function car2pol.For X,Y, Z vectors which represent Cartesian coordinates,it's necessary to obtain the cylindrical coordinates (ρ,ϕ,$v_z$). So we write:[ρ,ϕ,$v_z$]=car2pol(X,Y,Z).F is the vector with all values of f(ρ,ϕ,$v_z$). I apply fft to F: G=fft(f); Let be Polar_FFT polar fft function, where we suppose that is implemented. For having the final result I must write: $H=\text{Polar_FFT}(G*exp[−i2πv_ρρcos(v_ϕ−ϕ)])$? Jan12 comment Fourier transform in cylindrical coordinates What is connection between $\widehat{f}(vρ,vϕ,vz)$ and $\overline{f}(ρ,ϕ,vz)$? Jan11 comment Fourier transform in cylindrical coordinates Can you give me an example to verify the code? Jan11 comment Fourier transform in cylindrical coordinates Thanks for the response. I'm working with 3D transform. Jan11 asked Fourier transform in cylindrical coordinates