Image reconstruction using singular value decomposition

Samsul Ariffin Abdul Karima, Muhammad Izzatullah Mohd Mustafa, Bakri Abdul Karim, Mohammad Khatim Hasan, Jumat Sulaiman, Mohd Tahir Ismail

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

Abstract

The singular value decomposition (SVD) is an effective tool to reconstruct the image approximately towards the original image. This paper will introduce and explores image reconstruction by applying the SVD on gray-scale image. As quality measurements, we used Compression Ratio (CR) and Root-Mean Squared Error (RMSE). The results indicated that for certain images the value of k is smaller than for other images. The value of k is defined as the rank for the closet matrix and the constant integer k can be chosen expectantly less than diagonal matrix n, and the digital image corresponding to outer product expansion, Q k still have very close to the original image.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages269-274
Number of pages6
Volume1522
DOIs
Publication statusPublished - 2013
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya
Duration: 18 Dec 201220 Dec 2012

Other

Other20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
CityPutrajaya
Period18/12/1220/12/12

Fingerprint

image reconstruction
decomposition
compression ratio
gray scale
integers
expansion
products
matrices

Keywords

  • Gray-scale image
  • Image reconstruction
  • Singular Value Decomposition (SVD)

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Abdul Karima, S. A., Mohd Mustafa, M. I., Abdul Karim, B., Hasan, M. K., Sulaiman, J., & Ismail, M. T. (2013). Image reconstruction using singular value decomposition. In AIP Conference Proceedings (Vol. 1522, pp. 269-274) https://doi.org/10.1063/1.4801133

Image reconstruction using singular value decomposition. / Abdul Karima, Samsul Ariffin; Mohd Mustafa, Muhammad Izzatullah; Abdul Karim, Bakri; Hasan, Mohammad Khatim; Sulaiman, Jumat; Ismail, Mohd Tahir.

AIP Conference Proceedings. Vol. 1522 2013. p. 269-274.

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

Abdul Karima, SA, Mohd Mustafa, MI, Abdul Karim, B, Hasan, MK, Sulaiman, J & Ismail, MT 2013, Image reconstruction using singular value decomposition. in AIP Conference Proceedings. vol. 1522, pp. 269-274, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801133
Abdul Karima SA, Mohd Mustafa MI, Abdul Karim B, Hasan MK, Sulaiman J, Ismail MT. Image reconstruction using singular value decomposition. In AIP Conference Proceedings. Vol. 1522. 2013. p. 269-274 https://doi.org/10.1063/1.4801133
Abdul Karima, Samsul Ariffin ; Mohd Mustafa, Muhammad Izzatullah ; Abdul Karim, Bakri ; Hasan, Mohammad Khatim ; Sulaiman, Jumat ; Ismail, Mohd Tahir. / Image reconstruction using singular value decomposition. AIP Conference Proceedings. Vol. 1522 2013. pp. 269-274
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