Skip to main content
SpringerLink
Log in

Research on the Algorithm of Multidimensional Vector Fourier Transformation Matrix

  • Conference paper
  • First Online:
Advances in Image and Graphics Technologies (IGTA 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 525))

Included in the following conference series:

Abstract

The Fourier transform of the promotion is considered, which aims to develop a new model to solve complex data processing problems. This paper introduces the definition of multi-dimensional vector matrix. Based on the multi-dimensional vector matrix theory, the Fourier transformation is extended to multi-dimensional space, which includes the deduction of unitary orthogonal conjugate and energy concentration. Then the translation theory of two-dimension Fourier transform is extended to multi-dimension space.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. He, J.: Digital image processing. Xian university of electronic science and technology press, 2003.07 Version 1

    Google Scholar 

  2. Sang, A.J., Chen, M.S., Chen, H.X., Liu, L.L., Sun, T.N.: Multi-dimensional vector matrix theory and its application in color image coding. The Imaging Science Journal 58(3), 171–176(6) (2010)

    Google Scholar 

  3. Bao, H.J., Sang, A.J., Chen, H.X.: Inverse Operation of Four-dimensional Vector Matrix. International Journal of Intelligent Systems and Applications 3(5), 19–27 (2011)

    Article  Google Scholar 

  4. Sang, A.J., Bao, H.J., Chen, H.X., Zhao, G.Q.: Four-dimensional Vector Matrix Determinant and Inverse. In: The 3rd International Conference on Networks Security, Wireless Communications and Trusted Computing, April 23-24, pp. 1151–1154 (2011) (EI)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Communication Engineering, Jilin University, Changchun, 130022, China

    Yue Yang, Aijun Sang, Liyue Sun, Xiaoni Li & Hexin Chen

  2. Changchun Guanghua University, Changchun, 130000, China

    Yue Yang

Authors
  1. Yue Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Aijun Sang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Liyue Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiaoni Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hexin Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aijun Sang .

Editor information

Editors and Affiliations

  1. Chinese Academy of Sciences Instute of Automation, Beijing, China

    Tieniu Tan

  2. Beijing Jiaotong University, Beijing, China

    Qiuqi Ruan

  3. Tsinghua University, Beijing, China

    Shengjin Wang

  4. Tsinghua University, Beijing, China

    Huimin Ma

  5. Chinese Academy of Sciences, Beijing, China

    Kaichang Di

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yang, Y., Sang, A., Sun, L., Li, X., Chen, H. (2015). Research on the Algorithm of Multidimensional Vector Fourier Transformation Matrix. In: Tan, T., Ruan, Q., Wang, S., Ma, H., Di, K. (eds) Advances in Image and Graphics Technologies. IGTA 2015. Communications in Computer and Information Science, vol 525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47791-5_46

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-47791-5_46

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-47790-8

  • Online ISBN: 978-3-662-47791-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation