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Intelligent Wavelet Based Techniques for Advanced Multimedia Applications pp 13–29Cite as

Wavelet Transforms: From Classical to New Generation Wavelets

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Abstract

Wavelet transforms have become an important mathematical tool that has been widely explored for visual information processing. The wide range of wavelet transforms and their multiresolution analysis facilitate to solve complex problems ranging from simple to complex image and vision based problems. The present chapter aims to provide an overview of existing wavelet transforms ranging from classical to new generation wavelets. This chapter discusses the basics of the discrete wavelet transform (DWT) followed by new generation wavelet transforms and highlights their useful characteristics. Other than DWT, the present chapter provides a brief review on dual tree complex wavelet transform (DTCWT), curvelet transform (CVT), contourlet transform (CT), contourlet transform (CNT), nonsubsampled contourlet transform (NSCT) to provide fundamentals and understanding of the wavelet transforms.

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Authors and Affiliations

  1. Department of Computer Science, Banasthali Vidyapith, Banasthali, Rajasthan, India

    Rajiv Singh & Swati Nigam

  2. Department of Computer Science & Engineering, National Institute of Technology, Patna, Bihar, India

    Amit Kumar Singh

  3. Faculty of Computers and Information, Mansoura University, Dakahliya, Egypt

    Mohamed Elhoseny

Authors
  1. Rajiv Singh
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  2. Swati Nigam
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  3. Amit Kumar Singh
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  4. Mohamed Elhoseny
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Singh, R., Nigam, S., Singh, A.K., Elhoseny, M. (2020). Wavelet Transforms: From Classical to New Generation Wavelets. In: Intelligent Wavelet Based Techniques for Advanced Multimedia Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-31873-4_2

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  • DOI: https://doi.org/10.1007/978-3-030-31873-4_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-31872-7

  • Online ISBN: 978-3-030-31873-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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