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Linear and Non-linear Inverse Pyramidal Image Representation: Algorithms and Applications

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Advances in Reasoning-Based Image Processing Intelligent Systems

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 29))

Abstract

In the chapter is presented one specific approach for image representation, known as Inverse Pyramid Decomposition (IPD), and its main applications. The chapter is arranged as follows: the Introduction reviews the state of the art, comprising the presentation of various pyramidal decompositions and outlining their advantages and demerits. In the next sections are considered in detail the principles of the IPD based on linear (DFT, DCT, WHT, KLT, etc.) and non-linear transforms: deterministic, based on oriented surfaces, and adaptive, based on pyramidal neural networks. Furthermore, the work introduces the non-recursive and recursive implementations of the IPD. Special attention is paid to the main application areas of the IPD: the image compression (lossless, visually lossless and lossy), the multi-view and the multispectral image representation. Significant part of the chapter is devoted to the evaluation and comparison of the new representation with the famous compression standards JPEG and JPEG2000. In the conclusion are outlined the main advantages of the IPD and the trends for future development and investigations.

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Authors and Affiliations

  1. Department of Radio Communications and Video Technologies, Technical University of Sofia, Sofia, 1000, Bulgaria

    Roumen Kountchev

  2. T&K Engineering, Mladost 3, Pob 12, Sofia, 1712, Bulgaria

    Vladimir Todorov & Roumiana Kountcheva

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  1. Roumen Kountchev
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  2. Vladimir Todorov
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  3. Roumiana Kountcheva
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Correspondence to Roumen Kountchev .

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  1. Technical University of Sofia, Drujba 2, Sofia, 1582, Bulgaria

    Roumen Kountchev

  2. University of Hyogo, Nakamachi-dori 3-1-3-901, Kobe, 650-0027, Japan

    Kazumi Nakamatsu

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Kountchev, R., Todorov, V., Kountcheva, R. (2012). Linear and Non-linear Inverse Pyramidal Image Representation: Algorithms and Applications. In: Kountchev, R., Nakamatsu, K. (eds) Advances in Reasoning-Based Image Processing Intelligent Systems. Intelligent Systems Reference Library, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24693-7_3

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