research-article

Three-Dimensional Shape Analysis Using Moments and Fourier Descriptors

Authors:

A. P. Reeves,

R. P. Prokop,

Susan E. Andrews,

Frank P. KuhlAuthors Info & Claims

IEEE Transactions on Pattern Analysis and Machine Intelligence, Volume 10, Issue 6

Pages 937 - 943

https://doi.org/10.1109/34.9115

Published: 01 November 1988 Publication History

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Abstract

A procedure for using moment-based feature vectors to identify a three-dimensional object from a two-dimensional image recorded at an arbitrary viewing angle and range is presented. A moment form called standard moments, rather than the usual moment invariants, is considered. A standard six-airplane experiment was used to compare different techniques. Fourier descriptors and moment invariants were both compared to the present scheme for normalized moments. Various experiments were conducted using mixtures of silhouette and boundary moments and different normalization techniques. Standard moments gave slightly better results than Fourier descriptors for this experiment; both of these techniques were much better than moment invariants.

References

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{1} T. P. Wallace and P. Wintz, "An efficient, three-dimensional aircraft recognition algorithm using normalized Fourier descriptors," Comput. Graphics Image Processing, vol. 3, pp. 99-126, 1980.

Crossref

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{2} A. P. Reeves, "The general theory of moments for shape analysis and the parallel implementation of moment operations," Purdue Univ., Tech. Rep. TR-EE 81-37, Oct. 1981.

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{3} S. A. Dudani, K. J. Breeding, and R. B. McGhee, "Aircraft identification by moment invariants," IEEE Trans. Comput., vol. C-26, pp. 39-46, Jan. 1977.

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{4} M. R. Teague, "Image analysis via the general theory of moments," J. Opt. Soc. Amer., vol. 70, no. 8, pp. 920-930, Aug. 1980.

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{5} O. R. Mitchell, A. P. Reeves, and T. A. Grogan, "Algorithms and architectures for global shape analysis in time-varying imagery," in SPIE Proc. Robotics Ind. Inspection, vol. 360, pp. 190-197, Aug. 1982.

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{6} M.-K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inform. Theory, vol. IT-S, pp. 179-187, Feb. 1962.

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{7} A. P. Reeves and A. Rostampour, "Shape analysis of segmented objects using moments," in Proc. 1981 Pattern Recognition Image Processing Conf., Dallas, TX, 1981, pp. 171-174.

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{8} O. R. Mitchell and T. A. Grogan, "Global and partial shape discrimination for computer vision," Opt. Eng., vol. 23, no. 5, pp. 484-491, 1984.

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{9} F. P. Kuhl and C. R. Giardina, "Elliptic Fourier features of a closed contour," Comput. Graphics Image Processing, vol. 18, pp. 236-258, 1982.

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Salloum MKarlson KJin HBrown JBolintineanu DLong K(2020)Comparing field data using Alpert multi-waveletsComputational Mechanics10.1007/s00466-020-01878-266:4(893-910)Online publication date: 25-Jul-2020
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Yuan XPun C(2014)Feature extraction and local Zernike moments based geometric invariant watermarkingMultimedia Tools and Applications10.1007/s11042-013-1405-072:1(777-799)Online publication date: 1-Sep-2014
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Index Terms

Three-Dimensional Shape Analysis Using Moments and Fourier Descriptors
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Computer vision problems
  2. Computer graphics
    1. Image manipulation

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cover image IEEE Transactions on Pattern Analysis and Machine Intelligence

IEEE Transactions on Pattern Analysis and Machine Intelligence Volume 10, Issue 6

November 1988

225 pages

ISSN:0162-8828

Editor:
Steven L. Tanimoto

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IEEE Computer Society

United States

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Published: 01 November 1988

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Salloum MKarlson KJin HBrown JBolintineanu DLong K(2020)Comparing field data using Alpert multi-waveletsComputational Mechanics10.1007/s00466-020-01878-266:4(893-910)Online publication date: 25-Jul-2020
https://dl.acm.org/doi/10.1007/s00466-020-01878-2
Yuan XPun C(2014)Feature extraction and local Zernike moments based geometric invariant watermarkingMultimedia Tools and Applications10.1007/s11042-013-1405-072:1(777-799)Online publication date: 1-Sep-2014
https://dl.acm.org/doi/10.1007/s11042-013-1405-0
Jindal TBhattacharya UGovindaraju VNatarajan PChaudhury SLopresti DSetlur SCao H(2013)Recognition of offline handwritten numerals using an ensemble of MLPs combined by AdaboostProceedings of the 4th International Workshop on Multilingual OCR10.1145/2505377.2505380(1-5)Online publication date: 24-Aug-2013
https://dl.acm.org/doi/10.1145/2505377.2505380
Zhu HLiu MLi Y(2010)The RST invariant digital image watermarking using Radon transforms and complex momentsDigital Signal Processing10.1016/j.dsp.2010.01.01020:6(1612-1628)Online publication date: 1-Dec-2010
https://dl.acm.org/doi/10.1016/j.dsp.2010.01.010
Belkasim SHassan EObeidi T(2007)Explicit invariance of Cartesian Zernike momentsPattern Recognition Letters10.1016/j.patrec.2007.05.01028:15(1969-1980)Online publication date: 1-Nov-2007
https://dl.acm.org/doi/10.1016/j.patrec.2007.05.010
Li SLee MAdjeroh D(2005)Effective invariant features for shape-based image retrievalJournal of the American Society for Information Science and Technology10.5555/1058436.105844756:7(729-740)Online publication date: 1-May-2005
https://dl.acm.org/doi/10.5555/1058436.1058447
Gelman LSanderson MThompson C(2003)Signal recognitionPattern Recognition Letters10.1016/S0167-8655(03)00136-324:15(2823-2827)Online publication date: 1-Nov-2003
https://dl.acm.org/doi/10.1016/S0167-8655%2803%2900136-3
Tien SChia TLu Y(2003)Using cross-ratios to model curve data for aircraft recognitionPattern Recognition Letters10.1016/S0167-8655(03)00042-424:12(2047-2060)Online publication date: 1-Aug-2003
https://dl.acm.org/doi/10.1016/S0167-8655%2803%2900042-4
Papaioannou GKarabassi ETheoharis T(2002)Reconstruction of Three-Dimensional Objects through Matching of Their PartsIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/34.98288824:1(114-124)Online publication date: 1-Jan-2002
https://dl.acm.org/doi/10.1109/34.982888
Agarwal SChaudhuri S(1998)Determination of Aircraft Orientation for a Vision-Based System Using Artificial Neural NetworksJournal of Mathematical Imaging and Vision10.1023/A:10082267020698:3(255-269)Online publication date: 1-May-1998
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Invariant Image Recognition by Zernike Moments

Quaternion Bessel-Fourier moments and their invariant descriptors for object reconstruction and recognition

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