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  2. Image compression - Wikipedia

    en.wikipedia.org/wiki/Image_compression

    Methods for lossy compression: Transform coding – This is the most commonly used method. Discrete Cosine Transform (DCT) – The most widely used form of lossy compression. It is a type of Fourier-related transform, and was originally developed by Nasir Ahmed, T. Natarajan and K. R. Rao in 1974. [2]

  3. Discrete Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Discrete_Fourier_transform

    For example, several lossy image and sound compression methods employ the discrete Fourier transform: the signal is cut into short segments, each is transformed, and then the Fourier coefficients of high frequencies, which are assumed to be unnoticeable, are discarded. The decompressor computes the inverse transform based on this reduced number ...

  4. Wavelet transform - Wikipedia

    en.wikipedia.org/wiki/Wavelet_transform

    Wavelet compression is a form of data compression well suited for image compression (sometimes also video compression and audio compression). Notable implementations are JPEG 2000 , DjVu and ECW for still images, JPEG XS , CineForm , and the BBC's Dirac .

  5. Discrete cosine transform - Wikipedia

    en.wikipedia.org/wiki/Discrete_cosine_transform

    A DCT is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using only real numbers. The DCTs are generally related to Fourier series coefficients of a periodically and symmetrically extended sequence whereas DFTs are related to Fourier series coefficients of only periodically extended sequences.

  6. Discrete wavelet transform - Wikipedia

    en.wikipedia.org/wiki/Discrete_wavelet_transform

    The final step is to reconstruct the image from the modified levels. This is accomplished using an inverse wavelet transform. The resulting image, with white Gaussian noise removed is shown below the original image. When filtering any form of data it is important to quantify the signal-to-noise-ratio of the result.

  7. Transform coding - Wikipedia

    en.wikipedia.org/wiki/Transform_coding

    Transform coding is a type of data compression for "natural" data like audio signals or photographic images.The transformation is typically lossless (perfectly reversible) on its own but is used to enable better (more targeted) quantization, which then results in a lower quality copy of the original input (lossy compression).

  8. Wavelet - Wikipedia

    en.wikipedia.org/wiki/Wavelet

    Like some other transforms, wavelet transforms can be used to transform data, then encode the transformed data, resulting in effective compression. For example, JPEG 2000 is an image compression standard that uses biorthogonal wavelets.

  9. List of transforms - Wikipedia

    en.wikipedia.org/wiki/List_of_transforms

    Fast Fourier transform, ... Burrows–Wheeler transform (data compression) ... Hadamard transform; Hough transform (digital image processing)