Calculating geometric properties from fourier representation

N. Kiryati; D. Maydan

doi:10.1016/0031-3203(89)90017-4

Calculating geometric properties from fourier representation

N. Kiryati^*, D. Maydan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	469-475
Number of pages	7
Journal	Pattern Recognition
Volume	22
Issue number	5
DOIs	https://doi.org/10.1016/0031-3203(89)90017-4
State	Published - 1989
Externally published	Yes

Keywords

Fourier descriptors
Geometric properties
Moment invariants
Shape analysis
Shape representation

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10.1016/0031-3203(89)90017-4

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title = "Calculating geometric properties from fourier representation",

abstract = "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.",

keywords = "Fourier descriptors, Geometric properties, Moment invariants, Shape analysis, Shape representation",

author = "N. Kiryati and D. Maydan",

year = "1989",

doi = "10.1016/0031-3203(89)90017-4",

language = "אנגלית",

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journal = "Pattern Recognition",

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T1 - Calculating geometric properties from fourier representation

AU - Kiryati, N.

AU - Maydan, D.

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

KW - Fourier descriptors

KW - Geometric properties

KW - Moment invariants

KW - Shape analysis

KW - Shape representation

UR - http://www.scopus.com/inward/record.url?scp=0024856050&partnerID=8YFLogxK

U2 - 10.1016/0031-3203(89)90017-4

DO - 10.1016/0031-3203(89)90017-4

M3 - מאמר

AN - SCOPUS:0024856050

VL - 22

SP - 469

EP - 475

JO - Pattern Recognition

JF - Pattern Recognition

SN - 0031-3203

IS - 5

ER -

Calculating geometric properties from fourier representation

Abstract

Keywords

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