Image reconstruction from geometric moments via cascaded digital filters

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


Geometric moments belong to the family of non-orthogonal moments that do not have the ability to reconstruct the original image directly from it. Because of this, indirect methods are used to reconstruct images from their geometric moments. In this paper, we introduce a direct reconstruction method that uses cascaded digital filters where each digital filter operates as a subtractor. The proposed method has a less intensive computational process and has a great advantage as it can deal with geometric moments computed from any coordinate format. The proposed method is tested on N× N binary and gray-scale images, and the performance of the proposed reconstruction process is compared with the existing methods. The results show that the proposed method takes less computational time and reconstruction error when compared with the two current methods.

Original languageEnglish
Title of host publicationMathematical Modelling and Computational Intelligence Techniques - ICMMCIT-2021, Gandhigram, India February 10–12
EditorsP. Balasubramaniam, Kuru Ratnavelu, Grienggrai Rajchakit, G. Nagamani
Place of PublicationSingapore Singapore
Number of pages16
ISBN (Electronic)9789811660184
ISBN (Print)9789811660177
Publication statusPublished - 2021
Externally publishedYes
EventInternational Conference on Mathematical Modelling and Computational Intelligence Techniques 2021 - Gandhigram, India
Duration: 10 Feb 202112 Feb 2021 (Proceedings) (Website)

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017


ConferenceInternational Conference on Mathematical Modelling and Computational Intelligence Techniques 2021
Abbreviated titleICMMCIT 2021
Internet address


  • Digital filter
  • Geometric moment
  • Image reconstruction

Cite this