Abstract
We consider a task of tracing out target figures hidden in teeming figure pictures come to known as Wimmelbild(er). Wimmelbild is a popular genre of visual puzzles; a timeless classic for children, artists and cognitive scientists.
Particularly suited to the considered task, we propose a diffuse representation which serves as a heuristic approximation mimicking curvature coding distance images. Curvature coding distance images received increased attention in recent years. Typically, they are computed as solutions to variants of Poisson PDE. The proposed approximation is based on erosion of the white space (background) followed by isotropic averaging, hence, does not require solving a PDE.
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References
Aubert, G., Aujol, J.F.: Poisson skeleton revisited: A new mathematical perspective. J. Math. Imaging Vis. (2012)
Dimitrov, P., Lawlor, M., Zucker, S.W.: Distance images and intermediate-level vision. In: Bruckstein, A.M., ter Haar Romeny, B.M., Bronstein, A.M., Bronstein, M.M. (eds.) SSVM 2011. LNCS, vol. 6667, pp. 653–664. Springer, Heidelberg (2012)
Fornasier, M., Toniolo, D.: Fast, robust and efficient 2d pattern recognition for re-assembling fragmented images. Pattern Recognition 38(11), 2074–2087 (2005)
Gottschald, K.: Ueber den Einfluss der Erfahrung auf die Wahrnehmung von Figuren. Psychologische Forschung 8, 261–317 (1926)
Gurumoorthy, K.S., Rangarajan, A.: A schrödinger equation for the fast computation of approximate euclidean distance functions. In: Tai, X.-C., Mørken, K., Lysaker, M., Lie, K.-A. (eds.) SSVM 2009. LNCS, vol. 5567, pp. 100–111. Springer, Heidelberg (2009)
Keles, H.Y., Ozkar, M., Tari, S.: Weighted shapes for embedding perceived wholes. Environment and Planning B: Planning and Design 39, 360–375 (2012)
Mainberger, M., Schmaltz, C., Berg, M., Weickert, J., Backes, M.: Diffusion-based image compression in steganography. In: Bebis, G., Boyle, R., Parvin, B., Koracin, D., Fowlkes, C., Wang, S., Choi, M.-H., Mantler, S., Schulze, J., Acevedo, D., Mueller, K., Papka, M. (eds.) ISVC 2012, Part II. LNCS, vol. 7432, pp. 219–228. Springer, Heidelberg (2012)
Osher, S., Paragios, N.: Geometric Level Set Methods in Imaging,Vision,and Graphics. Springer-Verlag New York, Inc., Secaucus (2003)
Paragios, N.: A variational approach for the segmentation of the left ventricle in cardiac image analysis. International Journal of Computer Vision 50(3), 345–362 (2002)
Pien, H., Desai, M., Shah, J.: Segmentation of MR images using curve evolution and prior information. Int. J. Pattern Recogn. 11(8), 1233–1245 (1997)
Tari, S., Genctav, M.: From a modified Ambrosio-Tortorelli to a randomized part hierarchy tree. In: Bruckstein, A.M., ter Haar Romeny, B.M., Bronstein, A.M., Bronstein, M.M. (eds.) SSVM 2011. LNCS, vol. 6667, pp. 267–278. Springer, Heidelberg (2012)
Tari, Z., Shah, J., Pien, H.: A computationally efficient shape analysis via level sets. In: Proceedings of the Workshop on Mathematical Methos in Biomedical Image Analysis, pp. 234–243 (1996)
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Bergbauer, J., Tari, S. (2013). Wimmelbild Analysis with Approximate Curvature Coding Distance Images. In: Kuijper, A., Bredies, K., Pock, T., Bischof, H. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2013. Lecture Notes in Computer Science, vol 7893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38267-3_41
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DOI: https://doi.org/10.1007/978-3-642-38267-3_41
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