Abstract
In the last two decades there have been several works promoting shape fields that implicitly encode local convexity/concavity properties of the shape boundary. These shape fields are formulated either as solutions to Poisson type PDEs or via heuristic approximations to them. The v-field of Tari-Shah-Pien, can be computed directly from a real image; thus, suggests a mechanism to bridge low level visual processing and high level shape computations. We revisit Tari, Shah and Pien’s v-field approach and extend its application to complex images with texture. We relate v-field value at a skeleton point to the distance of the point from a putative shape boundary, and use this relation to extract semantic image patches. At the end of the chapter, we experimentally compare the medial locus computed from the new v-field to that of Kimia et al.
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Aslan, C., Tari, S.: An axis-based representation for recognition. In: ICCV, Beijing, pp. 1339–1346 (2005)
Bergbauer, J., Tari, S.: Wimmelbild analysis with approximate curvature coding distance images. In: SSVM, Graz, pp. 489–500 (2013)
Erdem, E., Tari, S.: Mumford-Shah regularizer with contextual feedback. J. Math. Imaging Vis. 33(1), 67–84 (2009)
Gurumoorthy, K., Rangarajan, A.: A Schroedinger equation for the fast computation of approximate Euclidean distance functions. In: SSVM, Voss, pp. 100–111 (2009)
Mumford, D., Shah, J.: Optimal approximations by piecewise smooth functions and associated variational problems. Commun. Pure Appl. Math. 42(5), 577–685 (1989)
Ozcanli, O.C., Kimia, B.B.: Generic object recognition via shock patch fragments. In: BMVC, Warwick, pp. 1030–1039 (2007)
Shah, J.: A common framework for curve evolution, segmentation and anisotropic diffusion. In: CVPR, San Francisco, pp. 136–142 (1996)
Tari, S.: Fluctuating distance fields, parts, three-partite skeletons. In: Innovations for Shape Analysis, pp. 439–466
Tari, S., Shah, J., Pien, H.: A computationally efficient shape analysis via level sets. In: Mathematical Methos in Biomedical Image Analysis, pp. 234–243 (1996) IEEE Computer Society Press, Los Alamitos, California (2013)
Tari, S., Shah, J., Pien, H.: Extraction of shape skeletons from grayscale images. Comput. Vis. Image Underst. 66(2), 133–146 (1997)
Tek, H., Kimia, B.B.: Symmetry maps of free-form curve segments via wave propagation. Int. J. Comput. Vis. 54(1–3), 35–81 (2003)
Zucker, S.: Distance images and the enclosure field. In: Innovations for Shape Analysis, pp. 301–323. Springer, Berlin/New York (2013)
Acknowledgements
We thank O. Ozcanli for running Kimia method [6] on our data. The work reported here is initiated under the grant TUBITAK 105E154 and completed with financial support of grant TUBITAK 112E208.
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Erdem, E., Tari, S. (2015). Revisiting Skeletons from Natural Images. In: Leonard, K., Tari, S. (eds) Research in Shape Modeling. Association for Women in Mathematics Series, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-16348-2_7
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DOI: https://doi.org/10.1007/978-3-319-16348-2_7
Publisher Name: Springer, Cham
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