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Visualization of 3D object shape complexity with wavelet descriptor and its application to image retrievals

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Abstract

A visualization method for representation of 3D object shape complexity based on the proposed wavelet descriptor is proposed together with its application to image retrievals. Image retrieval method using wavelet descriptor of shape information together with hue and texture information of objects extracted with dyadic wavelet transformation is proposed. Although there are conventional methods for image retrievals with hue and texture information, image retrieval performance (hit ratio) is not so high. Therefore, the proposed method uses shape information derived from objects extracted from original images in addition to the hue and texture information. To extract object, dyadic wavelet transformation is used to find good focusing image area extraction as objects. Experimental results with several kinds of phytoplankton show some improvement of hit ratio as well as Euclidean distance among images.

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Notes

  1. http://www.cs.rit.edu/~ncs/color/t_convert.html

  2. http://en.wikipedia.org/wiki/Euclidean_distance

  3. http://en.wikipedia.org/wiki/Mahalanobis_distance

  4. http://en.wikipedia.org/wiki/Hierarchical_clustering

  5. http://www.daylight.com/meetings/mug96/barnard/E-MUG95.html

  6. http://en.wikipedia.org/wiki/Naive_Bayes_classifier

  7. http://www.ccrs.nrcan.gc.ca/glossary/index_e.php?id=341

  8. http://en.wikipedia.org/wiki/Learning_Vector_Quantization

  9. http://en.wikipedia.org/wiki/Support_vector_machine

  10. http://cas.ensmp.fr/~chaplais/Wavetour_presentation/ondelettes%20dyadiques/Dyadic_Transform.html

  11. HH denotes high-frequency component in horizontal direction and high-frequency component in vertical direction.

  12. http://geol.hu/data/online_help/MorphologyFilters.html

References

  • Arai K et al (1991) In: Takagi M, Shimoda H (eds) Image Analysis Handbook, Tokyo Daigaku Shuppan-Kai Publishing, Tokyo

  • Arai K (1996) Fundamental theory for image processing, Gakujutsu-Tosho Shuppan Publishing Co., Ltd, Tokyo

  • Arai K (1998) Methods for image processing and analysis of earth observation satellite imagery data, Morikita Shuppan Publishing Co., Ltd, Tokyo

  • Arai K (2002) Java based earth observation satellite imagery data processing and analysis, Morikita-Shuppan Publishing Co., Ltd, Tokyo

  • Arai K, Jameson L (2001) Earth observation satellite data analysis based on wavelet analysis, Morikita-Shuppan Publishing Co., Ltd, Tokyo

  • Arai K, Terayama Y (2010) Polarized radiance from red tide. In: Proceedings of the SPIE Asia Pacific Remote Sensing, AE10-AE101-14

  • Datta R, Joshi D, Li J, Wang JZ (2008) Image retrieval: ideas, influences, and trends of the new age. ACM Comput Surv 40(2):1–60

    Article  Google Scholar 

  • Duda RO, Hart PE, Stork DG (2001) Pattern classification, 2nd edn. John Wiley & Sons Inc., New York

    MATH  Google Scholar 

  • Gibbs JW (1899) “Fourier Series”. Nature 59:200, 606

    Google Scholar 

  • Grandlund H (1972) Fourier preprocessing for hand print character recognition. IEEE Trans Comput 621:195–201

    Article  Google Scholar 

  • Huang CL, Huang DH (1998) A content-based image retrieval system. Image Vis Comput 16:149–163

    Article  Google Scholar 

  • Niblack W (1993) The QBIC project: querying images by content using color, texture and shape. In: SPIE conference on storage and retrieval for image and video databases, vol 1908, pp 173–187

  • Prasad BE, Gupta A, Toong H-M, Madnick SE (1987) A microcomputer-based image database management system. IEEE Trans Ind Electron IE-34(1):83–88

    Article  Google Scholar 

  • Séaghdha DO, Copestake A (2009) Using lexical and relational similarity to classify semantic relations. In: Computational Linguistics, pp 621–629

  • Taubin G, Cooper DB (1991) Recognition and positioning of rigid objects using algebraic moment invariants. In: SPIE conference on geometric methods in computer vision, vol 1570, pp 175–186

  • Teh CH, Chin RT (1988) On image analysis by the methods of moments. IEEE Trans Pattern Anal Mach Intell 10(4):496–513

    Article  MATH  Google Scholar 

  • Tieng QM, Boles WW (1997) Recognition of 2D object contours using the wavelet transform zero-crossing representation. IEEE Trans PAMI 19(8):910–916

    Article  Google Scholar 

  • Yang HS, Lee SU, Lee KM (1998) Recognition of 2D object contours using starting-point-independent wavelet coefficient matching. J Visual Commun Image Represent 9(2):171–181

    Article  Google Scholar 

  • Zahn CT, Roskies RZ (1972) Fourier descriptors for plane closed curves. IEEE Trans Comput C-21(3):269–281

    Article  MathSciNet  Google Scholar 

Download references

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Arai, K. Visualization of 3D object shape complexity with wavelet descriptor and its application to image retrievals. J Vis 15, 155–166 (2012). https://doi.org/10.1007/s12650-011-0118-6

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  • DOI: https://doi.org/10.1007/s12650-011-0118-6

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