List of transforms
This is a list of transforms in mathematics.
- Abel 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
- N-transform
- Radon transform
- Stieltjes transformation
- Sumudu transform
- Sinusoidal-Hyperbolic transforms[1]
- Wavelet transform (integral)
- Weierstrass transform
- 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
- Spherical Harmonic transform
- Irrational base discrete weighted transform
- Number-theoretic transform
- Stirling transform
Discrete-time transforms
These transforms have a continuous frequency domain:
Data-dependent transforms
Other transforms
- Affine transformation (computer graphics)
- 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 transformation
- Möbius transformation
- Perspective transform (computer graphics)
- Sequential euclidean distance transforms
- Watershed transform (digital image processing)
- Wavelet transform (orthonormal)
- Y-Δ transform (electrical circuits)
See also
External links
- Tables of Integral Transforms at EqWorld: The World of Mathematical Equations.
- ^ Abedi, M.; Sun, B.; Zheng, Z. (2019-7). "A Sinusoidal-Hyperbolic Family of Transforms With Potential Applications in Compressive Sensing". IEEE Transactions on Image Processing. 28 (7): 3571–3583. doi:10.1109/TIP.2019.2912355.
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