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Part of the book series: Studies in Computational Intelligence ((SCI,volume 245))

Abstract

In the last ten years the tensor voting framework (TVF), proposed by Medioni at al., has proved its effectiveness in perceptual grouping of arbitrary dimensional data. In the computer vision and image processing fields, this algorithm has been applied to solve various problems like stereo-matching, 3D reconstruction, and image inpainting . In this paper we propose a new technique, inspired to the TVF, that allows to estimate the dimensionality and normal orientation of the manifolds underlying a given point set. These features are encoded in tensors that can be considered as weak classifiers, whose combination is then used as a strong classifier to solve different classification problems. To prove the effectiveness of the described algorithm, three problems are considered: clustering by dimensionality estimation, image classification by manifold learning, and image inpainting by texture learning.

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References

  1. Bishop, C.M.: Pattern Recognition and Machine Learning. Springer Science+Business Media, New York (2006)

    MATH  Google Scholar 

  2. Campadelli, P., Lombardi, G.: Tensor voting fields: direct votes computation and new saliency functions. In: Cucchiara, R. (ed.) Proc. 14th Int. Conf. Image Analysis and Process, Modena, Italy, pp. 677–684. IEEE Comp. Soc., Los Alamitos (2007)

    Google Scholar 

  3. Campadelli, P., Casiraghi, E., Lombardi, G.: The neighbors voting algorithm. In: Okun, O., Valentini, G. (eds.) Proc. 2nd Supervised and Unsupervised Ensemble Methods and their Appl., Patras, Greece (2008)

    Google Scholar 

  4. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification. John Wiley & Sons, Hoboken (2001)

    MATH  Google Scholar 

  5. Guy, G., Medioni, G.: Inferring global perceptual contours from local features. Int. J. Comp. Vis. 20(1-2), 113–133 (1996)

    Article  Google Scholar 

  6. Jia, J., Tang, C.-K.: Image repairing: robust image synthesis by adaptive ND tensor voting. In: Proc. IEEE Conf. Comp. Vis. Patt. Recogn., Madison, WI, pp. 643–650. IEEE Comp. Soc., Los Alamitos (2003)

    Google Scholar 

  7. Lin, K.-I., Yang, C.: The ANN-tree: an index for efficient approximate nearest neighbor search. In: Proc. 7th Int. Conf. Database Syst. for Advanced Appl., Hong Kong, China, pp. 174–181. IEEE Comp. Soc., Los Alamitos (2001)

    Google Scholar 

  8. Medioni, G., Kang, S.B.: Emerging Topics in Computer Vision. Prentice Hall, Upper Saddle River (2004)

    Google Scholar 

  9. Mordohai, P., Medioni, G.: Dense multiple view stereo with general camera placement using tensor voting. In: Proc. 2nd int. Symp. 3D Data Processing, Visualization and Transmission, Thessaloniki, Greece, pp. 725–732. IEEE Comp. Soc., Los Alamitos (2004)

    Chapter  Google Scholar 

  10. Mordohai, P., Medioni, G.: Dimensionality estimation and manifold learning using tensor voting (2005), http://iris.usc.edu/~medioni/download/ND_manual1.pdf

  11. Mordohai, P., Medioni, G.: Tensor Voting: A Perceptual Organization Approach to Computer Vision and Machine Learning: Synthesis Lectures on Image, Video, and Multimedia Processing. Morgan and Claypool Publ., San Rafael (2006)

    Google Scholar 

  12. Mordohai, P., Medioni, G.: Stereo using monocular cues within the tensor voting framework. IEEE Trans. Patt. Analysis Mach. Intell. 28(6), 968–982 (2006)

    Article  Google Scholar 

  13. Nicolescu, M., Medioni, G.: Motion segmentation with accurate boundaries: a tensor voting approach. In: Proc. IEEE Conf. Comp. Vis. Patt. Recogn., Madison, WI, pp. 382–389. IEEE Comp. Soc., Los Alamitos (2003)

    Google Scholar 

  14. Rando, G., Arca, S., Casiraghi, E., Maggi, A.: Automatic segmentation of mouse images. In: Proc. 10th European Congress Stereology and Image Analysis, Milan, Italy (2009)

    Google Scholar 

  15. Tang, C.-K., Medioni, G.: Curvature-augmented tensor voting for shape inference from noisy 3D data. IEEE Trans. Patt. Analysis Mach. Intell. 24(6), 858–863 (2002)

    Article  Google Scholar 

  16. Tong, W.-S., Tang, C.-K., Mordohai, P., Medioni, G.: First order augmentation to tensor voting for boundary inference and multiscale analysis in 3D. IEEE Trans. Patt. Analysis Mach. Intell. 26(5), 858–863 (2004)

    Google Scholar 

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Lombardi, G., Casiraghi, E., Campadelli, P. (2009). The Neighbors Voting Algorithm and Its Applications. In: Okun, O., Valentini, G. (eds) Applications of Supervised and Unsupervised Ensemble Methods. Studies in Computational Intelligence, vol 245. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03999-7_9

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  • DOI: https://doi.org/10.1007/978-3-642-03999-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03998-0

  • Online ISBN: 978-3-642-03999-7

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