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      • In signal processing, a lapped transform is a type of linear discrete block transformation where the basis functions of the transformation overlap the block boundaries, yet the number of coefficients overall resulting from a series of overlapping block transforms remains the same as if a non-overlapping block transform had been used.
      Lapped transforms substantially reduce the blocking artifacts that otherwise occur with block transform coding techniques, in particular those using the discrete cosine transform. The best known example is the modified discrete cosine transform used in the MP3, Vorbis, AAC, and Opus audio codecs.
      Although the best-known application of lapped transforms has been for audio coding, they have also been used for video and image coding and various other applications. They are used in video coding for coding I-frames in VC-1 and for image coding in the JPEG XR format. More recently, a form of lapped transform has also been used in the development of the Daala video coding format.


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    Lapped transform - Wikipedia

    In signal processing, a lapped transform is a type of linear discrete block transformation where the basis functions of the transformation overlap the block boundaries, yet the number of coefficients overall resulting from a series of overlapping block transforms remains the same as if a non-overlapping block transform had been used.

    de Queiroz, R.L Lapped Transforms.” The Transforms and …

    the idea of a lapped transform (LT, for short) was developed in the early 1980s at MIT. The idea was to extend the basis function beyond the block boundaries, creating an overlap, in order to eliminate the

    LAPPED TRANSFORMS - queiroz.divp.org

    0.3.1 Extended lapped transform (ELT) Cosine modulated filter banks are filter banks based on a low-pass prototype filter mod-ulating a cosine sequence. By a proper choice of the phase of the cosine sequence, Malvar developed the modulated lapped transform (MLT) [8], which led to the so-called extended lapped transforms (ELT) [10], [11], [12 ...

    EXTENDED LAPPED TRANSFORMS: PROPERTIES, …

    2 Extended Lapped Transforms A lapped transform (LT) is a multirate filter bank in which the analysis and synthesis filters have a particular structure. Referring to Fig. 1, the analysis bank is composed of filters H 0(z):::H M 1(z), and the synthesis bank is composed of …

    Fourier, Block and Lapped Transforms - RWTH Aachen …

    Lapped transforms aim at reducing or even eliminating block artifacts by the use of overlapping basis functions, which extend over more than one block. The purpose of this chapter is to provide a self-contained introduction into lapped transforms. Our approach is to develop lapped transforms from standard block transforms as a starting point.

    Time Domain Lapped Transform and its Applications

    Time-Domain Lapped Transform V V V −1 V −1 DCT IDCT IDCT IDCT DCT DCT Q Q Q [Tran-2001] More compatible to DCT-based schemes Also a special case of linear phase filter banks Adopted by MS WMV-9, SMPTE VC-1, HD-DVD . Jie Liang 10 Simon Fraser University Banff July 27, 2005 Effect of Prefiltering A flattened image.

    [PDF] ON LAPPED TRANSFORMS - Semantic Scholar

    This chapter covers the basic aspects of lapped transforms and their applications to image compression, and introduces block-based transforms and the principles of a block transform and its corresponding transform matrix along with its factorization.

    Lapped transform - Wikiwand

    In signal processing, a lapped transform is a type of linear discrete block transformation where the basis functions of the transformation overlap the block boundaries, yet the number of coefficients overall resulting from a series of overlapping block transforms remains the same as if a non-overlapping block transform had been used.

    Lapped Transforms: A Graph-based Extension - IEEE Xplore

    Lapped transforms are transform coding tools with basis functions that overlap across blocks in order to reduce blocking artifacts. In this work, we take the uniform line graph model interpretation of the discrete cosine transform (DCT) and extend it to lapped transforms.

    [PDF] Extended lapped transforms: properties, applications, and …

    01 Nov 1992 · This chapter covers the basic aspects of lapped transforms and their applications to image compression, and introduces block-based transforms and the principles of a block transform and its corresponding transform matrix along with its factorization.