Abstract
Maintaining the local style and scale of 2D shape features during deformation, such as when elongating, compressing, or bending a shape, is essential for interactive shape editing. To achieve this, a necessary first step is to develop a robust classification method able to detect salient shape features, if possible in a hierarchical manner. Our aim is to overcome the limitations of existing techniques, which are not always able to detect what a user immediately identifies as a shape feature. Therefore, we first conduct a user study enabling us to learn how shape features are perceived. We then propose and compare several algorithms, all based on the medial axis transform or similar skeletal representations, to identify relevant shape features from this perceptual viewpoint. We discuss the results of each algorithm and compare them with those of the user study, leading to a practical solution for computing hierarchies of salient features on 2D shapes.
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References
Amenta, N., Choi, S., Kolluri, R.K.: The power crust. In: Proceedings of the Sixth ACM Symposium on Solid Modeling and Applications, Ann Arbor, pp. 249–266. ACM (2001)
Attali, D., Montanvert, A.: Computing and simplifying 2D and 3D continuous skeletons. Comput. Vis. Image Underst. 67(3), 261–273 (1997)
Blum, H., Nagel, R.N.: Shape description using weighted symmetric axis features. Pattern Recognit. 10(3), 167–180 (1978)
Blum, H., et al.: A transformation for extracting new descriptors of shape. Models Percept. Speech Vis. Form 19(5), 362–380 (1967)
Chazal, F., Lieutier, A.: The λ-medial axis. Graph. Models 67(4), 304–331 (2005)
Giesen, J., Miklos, B., Pauly, M., Wormser, C.: The scale axis transform. In: Proceedings of the 25th Annual Symposium on Computational Geometry, Aarhus, pp. 106–115. ACM (2009)
Kimia, B., Tannenbaum, A., Zucker, S.: Toward a computational theory of shape: an overview. In: Faugeras, O. (ed.) Computer Vision – ECCV 90, Antibes. Volume 427 of Lecture Notes in Computer Science, pp. 402–407. Springer, Berlin/Heidelberg (1990)
Kimia, B.B., Tannenbaum, A.R., Zucker, S.W.: Shapes, shocks, and deformations I: the components of two-dimensional shape and the reaction-diffusion space. Int. J. Comput. Vis. 15(3), 189–224 (1995)
Leyton, M.: Symmetry-curvature duality. Comput. Vis. Graph. Image Process. 38(3), 327–341 (1987)
Liu, L., Chambers, E.W., Letscher, D., Ju, T.: Extended grassfire transform on medial axes of 2D shapes. Comput. Aided Des. 43(11), 1496–1505 (2011)
Miklos, B., Giesen, J., Pauly, M.: Discrete scale axis representations for 3D geometry. ACM Trans. Graph. 29(4), 101 (2010)
Prasad, L.: Rectification of the chordal axis transform and a new criterion for shape decomposition. In: Discrete Geometry for Computer Imagery, Poitiers, pp. 263–275. Springer (2005)
Sebastian, T.B., Klein, P.N., Kimia, B.B.: Recognition of shapes by editing shock graphs. In: International Conference on Computer Vision, Vancouver, vol. 1, pp. 755–762 (2001)
Shaked, D., Bruckstein, A.M.: Pruning medial axes. Comput. Vis. Image Underst. 69(2), 156–169 (1998)
Sud, A., Foskey, M., Manocha, D.: Homotopy-preserving medial axis simplification. Int. J. Comput. Geom. Appl. 17(05), 423–451 (2007)
Tagliasacchi, A.: Skeletal representations and applications (2013). arXiv preprint arXiv:1301.6809
Tam, R., Heidrich, W.: Feature-preserving medial axis noise removal. In: Computer Vision – ECCV 2002, Copenhagen, pp. 672–686. Springer (2002)
Zeng, J., Lakaemper, R., Yang, X., Li, X.: 2D shape decomposition based on combined skeleton-boundary features. In: Advances in Visual Computing, Las Vegas, pp. 682–691. Springer (2008)
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Larsson, L.J. et al. (2015). Identifying Perceptually Salient Features on 2D Shapes. 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_9
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DOI: https://doi.org/10.1007/978-3-319-16348-2_9
Publisher Name: Springer, Cham
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