Calculating geometric properties from fourier representation

N. Kiryati*, D. Maydan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The area, the location of the centroid and the second order moments of a region are determined and expressed in closed-form in terms of the Fourier-coefficients of its boundary function. The orientation of the central axes and the second order central moments can then be easily obtained. Bounds on the perimeter of the region are derived in terms of the Fourier coefficients as well.

Original languageEnglish
Pages (from-to)469-475
Number of pages7
JournalPattern Recognition
Issue number5
StatePublished - 1989
Externally publishedYes


  • Fourier descriptors
  • Geometric properties
  • Moment invariants
  • Shape analysis
  • Shape representation

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