Fast hypercomplex polar Fourier analysis for image processing

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Hypercomplex polar Fourier analysis treats a signal as a vector field and generalizes the conventional polar Fourier analysis. It can handle signals represented by hypercomplex numbers such as color images. It is reversible that can reconstruct image. Its coefficient has rotation invariance property that can be used for feature extraction. With these properties, it can be used for image processing applications like image representation and image understanding. However in order to increase the computation speed, fast algorithm is needed especially for image processing applications like realtime systems and limited resource platforms. This paper presents fast hypercomplex polar Fourier analysis that based on symmetric properties and mathematical properties of trigonometric functions. Proposed fast hypercomplex polar Fourier analysis computes symmetric eight points simultaneously that significantly reduce the computation time.

Original languageEnglish
Title of host publicationAdvances in Image and Video Technology - 5th Pacific Rim Symposium, PSIVT 2011, Proceedings
Pages141-148
Number of pages8
EditionPART 2
DOIs
Publication statusPublished - 2011 Nov 30
Event5th Pacific-Rim Symposium on Video and Image Technology, PSIVT 2011 - Gwangju, Korea, Republic of
Duration: 2011 Nov 202011 Nov 23

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume7088 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th Pacific-Rim Symposium on Video and Image Technology, PSIVT 2011
CountryKorea, Republic of
CityGwangju
Period11/11/2011/11/23

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Keywords

  • Fourier analysis
  • fast hypercomplex polar Fourier analysis
  • hypercomplex polar Fourier analysis

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Yang, Z., & Kamata, S. I. (2011). Fast hypercomplex polar Fourier analysis for image processing. In Advances in Image and Video Technology - 5th Pacific Rim Symposium, PSIVT 2011, Proceedings (PART 2 ed., pp. 141-148). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7088 LNCS, No. PART 2). https://doi.org/10.1007/978-3-642-25346-1_13