List of transforms

Integral transforms

Abel transform

Bateman transform

Bracewell transform

Fourier transform

Short-time Fourier transform

Hankel transform

Hartley transform

Hilbert transform

Hilbert–Schmidt integral operator

Laplace transform

Inverse Laplace transform

Two-sided Laplace transform

Inverse two-sided Laplace transform

Laplace–Carson transform

Laplace–Stieltjes transform

Linear canonical transform

Mellin transform

Inverse Mellin transform

Poisson–Mellin–Newton cycle

N-transform

Radon transform

Stieltjes transformation

Sumudu transform

Wavelet transform (integral)

Weierstrass transform

Discrete transforms

Binomial transform

Discrete Fourier transform, DFT

Fast Fourier transform, a popular implementation of the DFT

Discrete cosine transform

Modified discrete cosine transform

Discrete Hartley transform

Discrete sine transform

Discrete wavelet transform

Fast wavelet transform

Hankel transform, the determinant of the Hankel matrix.

Discrete Chebyshev transform

Equivalent, up to a diagonal scaling, to a discrete cosine transform

Discrete Hankel transform

Finite Legendre transform

Spherical Harmonic transform

Irrational base discrete weighted transform

Number-theoretic transform

Stirling transform

Discrete-time transforms

These transforms have a continuous frequency domain:

Discrete-time Fourier transform

Z-transform

Data-dependent transforms

Karhunen–Loève transform

Other transforms

Bäcklund transform

Bilinear transform

Box–Muller transform

Burrows–Wheeler transform (data compression)

Chirplet transform

Distance transform

Fractal transform

Hadamard transform

Hough transform (digital image processing)

Inverse scattering transform

Legendre transform

Möbius transform

Perspective transform (computer graphics)

Sequential euclidean distance transforms

Wavelet transform (orthonormal)

Y-delta transform (electrical circuits)

General

See also: List of Fourier-related transforms

Transform coding