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List of transforms
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<h2 id="integral-transforms">Integral transforms</h2> <p class="note">Main article: <a href="/facts/Integral_transform/AB2yjHJJ">Integral transform</a></p> <ul><li><a href="/facts/Abel_transform/3BTHHFfX">Abel transform</a></li> <li>Aboodh transform</li> <li><a href="/facts/Bateman_transform/S02VAY3k">Bateman transform</a></li> <li><a href="/facts/Fourier_transform/XXhKJtc8">Fourier transform</a> <ul><li><a href="/facts/Short-time_Fourier_transform/XHo1t2m6">Short-time Fourier transform</a></li> <li><a href="/facts/Gabor_transform/dbbHrA1l">Gabor transform</a></li></ul></li> <li><a href="/facts/Hankel_transform/2UpX2jL8">Hankel transform</a></li> <li><a href="/facts/Hartley_transform/9p2gPkmU">Hartley transform</a></li> <li><a href="/facts/Hermite_transform/w0cbod5M">Hermite transform</a></li> <li><a href="/facts/Hilbert_transform/RoQaC8MS">Hilbert transform</a> <ul><li><a href="/facts/Hilbert%25E2%2580%2593Schmidt_integral_operator/KsMYpV1m">Hilbert–Schmidt integral operator</a></li></ul></li> <li><a href="/facts/Jacobi_transform/oeW3WoVj">Jacobi transform</a></li> <li><a href="/facts/Laguerre_transform/KEQJn8hB">Laguerre transform</a></li> <li><a href="/facts/Laplace_transform/0Ge4MIc9">Laplace transform</a> <ul><li><a href="/facts/Inverse_Laplace_transform/QgGzEnV4">Inverse Laplace transform</a></li> <li><a href="/facts/Two-sided_Laplace_transform/1S7znIdr">Two-sided Laplace transform</a></li> <li><a href="/facts/Mellin_inversion_theorem/pIxfJNmC">Inverse two-sided Laplace transform</a></li></ul></li> <li><a href="/facts/Laplace%25E2%2580%2593Carson_transform/sknKhVge">Laplace–Carson transform</a></li> <li><a href="/facts/Laplace%25E2%2580%2593Stieltjes_transform/kPWswpKb">Laplace–Stieltjes transform</a></li> <li><a href="/facts/Legendre_transform_(integral_transform)/faRaqKuz">Legendre transform</a></li> <li><a href="/facts/Linear_canonical_transform/TTUqqAfV">Linear canonical transform</a></li> <li><a href="/facts/Mellin_transform/M0087pMe">Mellin transform</a> <ul><li><a href="/facts/Mellin_inversion_theorem/pIxfJNmC">Inverse Mellin transform</a></li> <li><a href="/facts/Poisson%25E2%2580%2593Mellin%25E2%2580%2593Newton_cycle/2WqP5s90">Poisson–Mellin–Newton cycle</a></li></ul></li> <li><a href="/facts/N-transform/aJG57njD">N-transform</a></li> <li><a href="/facts/Radon_transform/JskFJRMS">Radon transform</a></li> <li><a href="/facts/Stieltjes_transformation/afjPeS41">Stieltjes transformation</a></li> <li><a href="/facts/Sumudu_Transform/tjj6WvKU">Sumudu transform</a></li> <li></li> <li><a href="/facts/Wavelet_transform/4vk3W5be">Wavelet transform</a> (integral)</li> <li><a href="/facts/Weierstrass_transform/1LNo4Bce">Weierstrass transform</a></li></ul> <h2 id="discrete-transforms">Discrete transforms</h2> <p class="note">Main article: <a href="/facts/Discrete_transform/K4S5yCUA">Discrete transform</a></p> <ul><li><a href="/facts/Binomial_transform/Wu345jgq">Binomial transform</a></li> <li><a href="/facts/Discrete_Fourier_transform/uK9Tjsbl">Discrete Fourier transform</a>, DFT <ul><li><a href="/facts/Fast_Fourier_transform/caT7UUCh">Fast Fourier transform</a>, a popular implementation of the DFT</li></ul></li> <li><a href="/facts/Discrete_cosine_transform/gPpDhPwP">Discrete cosine transform</a> <ul><li><a href="/facts/Modified_discrete_cosine_transform/jCaDMSNY">Modified discrete cosine transform</a></li></ul></li> <li><a href="/facts/Discrete_Hartley_transform/lctBpTSj">Discrete Hartley transform</a></li> <li><a href="/facts/Discrete_sine_transform/GRtd90kB">Discrete sine transform</a></li> <li><a href="/facts/Discrete_wavelet_transform/19DVnk4n">Discrete wavelet transform</a></li> <li><a href="/facts/Hadamard_transform/JFD5uojA">Hadamard transform</a> (or, Walsh–Hadamard transform) <ul><li><a href="/facts/Fast_wavelet_transform/ArkHgy2V">Fast wavelet transform</a></li></ul></li> <li><i>Hankel transform</i>, the <a href="/facts/Determinant/eGYqJ2TF">determinant</a> of the <a href="/facts/Hankel_matrix/96ePFS7m">Hankel matrix</a></li> <li><a href="/facts/Discrete_Chebyshev_transform/GTCGjTFF">Discrete Chebyshev transform</a> <ul><li>Equivalent, up to a diagonal scaling, to a <a href="/facts/Discrete_cosine_transform/gPpDhPwP">discrete cosine transform</a></li></ul></li> <li><a href="/facts/Finite_Legendre_transform/xWgXp7G3">Finite Legendre transform</a></li> <li>Spherical Harmonic transform</li> <li><a href="/facts/Irrational_base_discrete_weighted_transform/kPpfPddw">Irrational base discrete weighted transform</a></li> <li><a href="/facts/Number-theoretic_transform/ntR67BjE">Number-theoretic transform</a></li> <li><a href="/facts/Stirling_transform/QYWYGXx0">Stirling transform</a></li></ul> <h2 id="discrete-time-transforms">Discrete-time transforms</h2> <p>These transforms have a continuous frequency domain: </p> <ul><li><a href="/facts/Discrete-time_Fourier_transform/Em8WprVs">Discrete-time Fourier transform</a></li> <li><a href="/facts/Z-transform/ERNvDJqt">Z-transform</a></li></ul> <h2 id="data-dependent-transforms">Data-dependent transforms</h2> <ul><li><a href="/facts/Karhunen%25E2%2580%2593Lo%25C3%25A8ve_transform/HX3cIv6g">Karhunen–Loève transform</a></li></ul> <h2 id="other-transforms">Other transforms</h2> <ul><li><a href="/facts/Affine_transformation/BD7yDr10">Affine transformation</a> (<a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean geometry</a>)</li> <li><a href="/facts/B%25C3%25A4cklund_transform/TGpwaGdE">Bäcklund transform</a></li> <li><a href="/facts/Bilinear_transform/hstbQ7y8">Bilinear transform</a></li> <li><a href="/facts/Box%25E2%2580%2593Muller_transform/rTemEfab">Box–Muller transform</a></li> <li><a href="/facts/Burrows%25E2%2580%2593Wheeler_transform/yxIc9E94">Burrows–Wheeler transform</a> (<a href="/facts/Data_compression/gMFuY4FT">data compression</a>)</li> <li><a href="/facts/Chirplet_transform/CKQP3Imn">Chirplet transform</a></li> <li><a href="/facts/Distance_transform/IeAfIYua">Distance transform</a></li> <li><a href="/facts/Fractal_transform/M0XqRzR9">Fractal transform</a></li> <li><a href="/facts/Gelfand_representation/QV54f7Jm">Gelfand transform</a></li> <li><a href="/facts/Hadamard_transform/JFD5uojA">Hadamard transform</a></li> <li><a href="/facts/Hough_transform/cYmx4Duw">Hough transform</a> (<a href="/facts/Digital_image_processing/zenalNCf">digital image processing</a>)</li> <li><a href="/facts/Inverse_scattering_transform/CJ5dfzXJ">Inverse scattering transform</a></li> <li><a href="/facts/Legendre_transformation/P35nPen7">Legendre transformation</a></li> <li><a href="/facts/M%25C3%25B6bius_transformation/YEkTTLfK">Möbius transformation</a></li> <li><a href="/facts/3D_projection/FATfGH2W">Perspective transform</a> (<a href="/facts/Computer_graphics/lapBE8wv">computer graphics</a>)</li> <li><a href="/facts/Sequence_transform/42yK8Id0">Sequence transform</a></li> <li><a href="/facts/Watershed_(image_processing)/BaTCIB7b">Watershed transform</a> (<a href="/facts/Digital_image_processing/zenalNCf">digital image processing</a>)</li> <li><a href="/facts/Wavelet_transform/4vk3W5be">Wavelet transform</a> (orthonormal)</li> <li><a href="/facts/Y-%25CE%2594_transform/9kml9w92">Y-Δ transform</a> (<a href="/facts/Electrical_circuit/zt94kTW0">electrical circuits</a>)</li></ul> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Linear_transform/Q1PBKNVV">Linear transform</a></li> <li><a href="/facts/List_of_Fourier-related_transforms/omM5lS1k">List of Fourier-related transforms</a></li> <li><a href="/facts/Sequence_transformation/42yK8Id0">Sequence transformation</a></li> <li><a href="/facts/Transform_coding/JGJISRFW">Transform coding</a></li> <li>All pages with titles containing transform</li></ul> <h2 id="external-links">External links</h2> <ul><li><a href="http://eqworld.ipmnet.ru/en/auxiliary/aux-inttrans.htm">Tables of Integral Transforms</a> at EqWorld: The World of Mathematical Equations.</li></ul>