“Edit Propagation Using Geometric Relationship Functions” by Guerrero, Jeschke, Wimmer and Wonka

  • ©Paul Guerrero, Stefan Jeschke, Michael Wimmer, and Peter Wonka

Conference:


Type:


Title:

    Edit Propagation Using Geometric Relationship Functions

Session/Category Title: Layout Building & Scenes


Presenter(s)/Author(s):


Moderator(s):



Abstract:


    We propose a method for propagating edit operations in 2D vector graphics, based on geometric relationship functions. These functions quantify the geometric relationship of a point to a polygon, such as the distance to the boundary or the direction to the closest corner vertex. The level sets of the relationship functions describe points with the same relationship to a polygon. For a given query point, we first determine a set of relationships to local features, construct all level sets for these relationships, and accumulate them. The maxima of the resulting distribution are points with similar geometric relationships. We show extensions to handle mirror symmetries, and discuss the use of relationship functions as local coordinate systems. Our method can be applied, for example, to interactive floorplan editing, and it is especially useful for large layouts, where individual edits would be cumbersome. We demonstrate populating 2D layouts with tens to hundreds of objects by propagating relatively few edit operations.

References:


    1. H. Avron, A. Sharf, C. Greif, and D. Cohen-Or. 2010. L1-sparse reconstruction of sharp point set surfaces. ACM Trans. Graph. 29, 5, 135:1–135:12.
    2. E. Behar and J.-M. Lien. 2011. Fast and robust 2d minkowski sum using reduced convolution. In Proceedings of the IEEE International Conference on Intelligent Robots and Systems (IROS’11). 1573–1578.
    3. S. Belongie, J. Malik, and J. Puzicha. 2002. Shape matching and object recognition using shape contexts. IEEE Trans. Pattern Anal. Mach. Intell. 24, 4, 509–522.
    4. M. Bokeloh, M. Wand, V. Koltun, and H.-P. Seidel. 2011. Pattern-aware shape deformation using sliding dockers. In Proceedings of the SIGGRAPH Asia Conference (SA’11). 123:1–123:10.
    5. M. Bokeloh, M. Wand, H.-P. Seidel, and V. Koltun. 2012. An algebraic model for parameterized shape editing. ACM Trans. Graph. 31, 4, 78:1–78:10.
    6. M. Fisher, D. Ritchie, M. Savva, T. Funkhouser, and P. Hanrahan. 2012. Example-based synthesis of 3d object arrangements. ACM Trans. Graph. 31, 6, 135:1–135:11.
    7. M. Fisher, M. Savva, and P. Hanrahan. 2011. Characterizing structural relationships in scenes using graph kernels. ACM Trans. Graph. 30, 4, 34:1–34:12.
    8. S. Fleishman, I. Drori, and D. Cohen-Or. 2003. Bilateral mesh denoising. In ACM SIGGRAPH Papers (SIGGRAPH’03). ACM Press, New York, 950–953.
    9. R. Gal, O. Sorkine, N. J. Mitra, and D. Cohen-Or. 2009. Iwires: An analyze-and-edit approach to shape manipulation. ACM Trans. Graph. 28, 3, 33:1–33:10.
    10. J. Gil and M. Werman. 1993. Computing 2-d min, median, and max filters. IEEE Trans. Pattern Anal. Mach. Intell. 15, 5, 504–507.
    11. K. Hormann and M. S. Floater. 2006. Mean value coordinates for arbitrary planar polygons. ACM Trans. Graph. 25, 4, 1424–1441.
    12. P. Joshi, M. Meyer, T. Derose, B. Green, and T. Sanocki. 2007. Harmonic coordinates for character articulation. ACM Trans. Graph. 26, 3.
    13. D. Kroon. 2011. Shape context based corresponding point models. Matlab File Exchange. http://www.mathworks.com/matlabcentral/fileexchange/30845-shape-context-based-corresponding-point-models.
    14. Y. Lipman, D. Levin, and D. Cohen-Or. 2008. Green coordinates. ACM Trans. Graph. 27 3, 78:1–78:10.
    15. P. Merrell, E. Schkufza, Z. Li, M. Agrawala, and V. Koltun. 2011. Interactive furniture layout using interior design guidelines. ACM Trans. Graph. 30, 4, 87:1–87:10.
    16. J. Solomon, A. Nguyen, A. Butscher, M. Ben-Chen, and L. Guibas. 2012. Soft maps between surfaces. Comput. Graph. Forum 31, 5, 1617–1626.
    17. O. Weber, R. Poranne, and C. Gotsman. 2012. Biharmonic coordinates. Comput. Graph. Forum 31, 2409–2422.
    18. Y.-T. Yeh, L. Yang, M. Watson, N. D. Goodma, and P. Hanrahan. 2012. Synthesizing open worlds with constraints using locally annealed reversible jump mcmc. ACM Trans. Graph. 31, 4, 56:1–56:11.
    19. L.-F. Yu, S.-K. Yeung, C.-K. Tang, D. Terzopoulos, T. F. Chan, and S. J. Osher. 2011. Make it home: Automatic optimization of furniture arrangement. ACM Trans. Graph. 30, 4, 86:1–86:12.
    20. Y. Zheng, X. Chen, M.-M. Cheng, K. Zhou, S.-M. Hu, and N. J. Mitra. 2012. Interactive images: Cuboid proxies for smart image manipulation. ACM Trans. Graph. 31, 4, 99:1–99:11.
    21. Y. Zheng, H. Fu, D. Cohen-Or, O. K.-C. Au, and C.-L. Tai. 2011. Component-wise controllers for structure-preserving shape manipulation. Comput. Graph. Forum 30, 2, 563–572.

ACM Digital Library Publication:



Overview Page: