Abstract
In image compression, the discrete cosine transform of type II (DCT-II) is of special interest. In this paper we use a new approach to construct an integer DCT-II first considered in [15]. Our method is based on a factorization of the cosine matrix of type II into a product of sparse, orthogonal matrices. The construction of the integer DCT-II of length 8 works with lifting steps and rounding-off. We are especially interested in the normwise error and the componentwise error when the integer DCT-II is compared with the exact DCT-II.
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Plonka, G., Tasche, M. (2003). Integer DCT—II by Lifting Steps. In: Haussmann, W., Jetter, K., Reimer, M., Stöckler, J. (eds) Modern Developments in Multivariate Approximation. International Series of Numerical Mathematics, vol 145. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8067-1_13
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DOI: https://doi.org/10.1007/978-3-0348-8067-1_13
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9427-2
Online ISBN: 978-3-0348-8067-1
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