List of transforms
This is a list of transforms in mathematics.
Integral transforms
[edit]- Abel transform
- Aboodh transform
- Bateman transform
- Fourier transform
- Hankel transform
- Hartley transform
- Hermite transform
- Hilbert transform
- Jacobi transform
- Laguerre transform
- Laplace transform
- Laplace–Carson transform
- Laplace–Stieltjes transform
- Legendre transform
- Linear canonical transform
- Mellin transform
- Radon transform
- Shehu transform
- Stieltjes transformation
- Wavelet transform (integral)
- Weierstrass transform
Discrete transforms
[edit]- Binomial transform
- Discrete Fourier transform, DFT
- Fast Fourier transform, a popular implementation of the DFT
- Discrete cosine transform
- Discrete Hartley transform
- Discrete sine transform
- Discrete wavelet transform
- Hadamard transform (or, Walsh–Hadamard transform)
- Hankel transform, the determinant of the Hankel matrix
- Discrete Chebyshev transform
- Equivalent, up to a diagonal scaling, to a discrete cosine transform
- Finite Legendre transform
- Irrational base discrete weighted transform
- Mojette transform
- Number-theoretic transform
- Spherical Harmonic transform
- Stirling transform
Discrete-time transforms
[edit]These transforms have a continuous frequency domain:
Data-dependent transforms
[edit]Other transforms
[edit]- Affine transformation (Euclidean geometry)
- Bäcklund transform
- Bilinear transform
- Box–Muller transform
- Burrows–Wheeler transform (data compression)
- Chirplet transform
- Distance transform
- Fractal transform
- Gelfand transform
- Hadamard transform
- Hough transform (digital image processing)
- Inverse scattering transform
- Legendre transformation
- Möbius transformation
- Perspective transform (computer graphics)
- Sequence transform
- Watershed transform (digital image processing)
- Wavelet transform (orthonormal)
- Y-Δ transform (electrical circuits)
See also
[edit]External links
[edit]- Tables of Integral Transforms at EqWorld: The World of Mathematical Equations.