Ellipses and Circles Recognition Based on Invariant Moments

LI Xiu-ming; SHI Zhao-yao

Journal of Beijing University of Technology > 2007 > 33(11): 1136-1140.

LI Xiu-ming, SHI Zhao-yao. Ellipses and Circles Recognition Based on Invariant Moments[J]. Journal of Beijing University of Technology, 2007, 33(11): 1136-1140.

Citation:

LI Xiu-ming, SHI Zhao-yao. Ellipses and Circles Recognition Based on Invariant Moments[J]. Journal of Beijing University of Technology, 2007, 33(11): 1136-1140.

Citation:

LI Xiu-ming, SHI Zhao-yao. Ellipses and Circles Recognition Based on Invariant Moments[J]. Journal of Beijing University of Technology, 2007, 33(11): 1136-1140.

PDF (141 KB)

Ellipses and Circles Recognition Based on Invariant Moments

College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100022, China

More Information

Received Date: October 15, 2006
Available Online: December 29, 2022

Graphical Abstract

Abstract

Abstract

A method to detect ellipses and circles rapidly is proposed by invariant moments.According to the coordinates of discrete points,the centroid coordinates of ellipses and circles are calculated firstly.Then nor- malized central moments are computed.Based on the normalized central moments,the characteristic parame- ters are obtained.In this paper a method for ellipses and circles recognition,which is not confined by any con- ditions can be used for quick ellipses recognition of all sizes and orientation.The experimental results show that this approach is effective.
- invariant moments,
- ellipses recognition,
- circles recognition

FullText(HTML)

References (13)

References

[1]	CHANG C C,HWANG S M,BUEHRER D J.A shape recognition scheme based on relative distances of feature points from the centroid[J].Pattern Recognition,1991,24(11):1053-1063.
[2]	HU Ming-kuei.Visual pattern recognition by moment invariants[J].IRE Trans Inf Theory,1962,8(2):179-187.
[3]	ZHU Y,de SILVA L C,KO C C.Using moment invariants and HMM in facial expression recognition[J].Pattern Recogni- tion,2002,23:83-91.
[4]	LIU Jin,ZHANG Tian-xu.Fast algorithm for generation of moment invariants[J].Pattern Recognition,2004,37:1745- 1756.
[5]	LIU Yi-shu,YANG Li-hua,SUN Qian.Contour-based moment invariants and their application to the recognition of object shapes[J].Journal of Image and Graphics,2004,9(3):308-313.
[6]	GHORBEL F,DERRODE S,MEZHOUD R.Image reconstruction from a complete set of similarity invariants extracted from complex moments[J].Pattern Recognition,2006,27:1361-1369.
[7]	PERSOON E,FU K S.Shape discrimination using Fourier descriptors[J].IEEE Trans on PAMI,1986(8):388-397.
[8]	KAUPPIEN H,SEPANEN T.An experiment comparison of autoregressive and Fourier based descriptors in 2D shape classifi- cation[J].IEEE Trans on PAMI,1995(2):201-207.
[9]	WANG Tao,LIU Wen-yin,SUN Jia-guang.Using Fourier descriptors to recognize object's shape[J].Journal of Computer Research and Development,2002,39(12):1714-1719.
[10]	DUBOIS S R,GLANZ F H.An autoregressive model approach to two dimensional shape classification[J].IEEE Trans on PAMI,1986(8):55-56.
[11]	WEI Yi,XU Hua-zhong.A fast ellilpse detection algorithm based on the error theory[J].Information and Electronic Engi- neering,2005,3(4):249-252.
[12]	YIP Raymond K K,TAM Peter K S,LEUNG Dennis N K.Modification of hough transform for circles and ellipse detection using a 2-dimensional array[J].Pattern Recognition,1992,25(9):1007-1022.
[13]	BENNETT Nick,BURRIDGE Robert,SAITO Naoki.A method to detect and characterize ellipses using the hough trans- form[J].IEEE Trans on PAMI,1999,21(7):652-657.

Cited By

Get Citation

PDF

XML

Article views (16) PDF downloads (10)

Turn off MathJax

Article Contents

Abstract

References

Ellipses and Circles Recognition Based on Invariant Moments

Abstract

References

Catalog

Export File

Citation

Format

Content