An algebraic model for parameterized shape editing

ACM Transactions on Graphics

Volumn 31, Issue 4, 2012, Pages

  Bokeloh, Martin ^a   Wand, Michael ^b   Seidel, Hans Peter ^c   Koltun, Vladlen ^a  

^a STANFORD UNIVERSITY   (United States)

^b SAARLAND UNIVERSITY   (Germany)

^c MAX PLANCK INSTITUTE FOR INFORMATICS   (Germany)

Author keywords

Shape editing; Shape understanding; Structural Regularity; Symmetry

Indexed keywords

ALGEBRAIC MODELS; CONVEX SPACES; INTERACTIVE SYSTEM; LINEAR CONSTRAINTS; NUMERICAL PARAMETERS; PARAMETERIZED; SHAPE EDITING; SHAPE UNDERSTANDING; STRUCTURAL REGULARITY;

COMPUTER GRAPHICS; CRYSTAL SYMMETRY;

ALGEBRA;

EID: 84872247425     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/2185520.2185574     Document Type: Article

References (18)

1. ALIAGA, D., ROSEN, P., AND BEKINS, D. 2007. Style grammars for interactive visualization of architecture. IEEE Transactions on Visualization and Computer Graphics 13, 4.
2. BOKELOH, M., WAND, M., AND SEIDEL, H.-P. 2010. A connection between partial symmetry and inverse procedural modeling. ACM Transactions on Graphics 29, 4.
3. BOKELOH, M., WAND, M., KOLTUN, V., AND SEIDEL, H.-P. 2011. Pattern-aware shape deformation using sliding dockers. ACM Transactions on Graphics 30, 6.
4. BOTSCH, M., AND SORKINE, O. 2008. On linear variational surface deformation methods. IEEE Transactions on Visualization and Computer Graphics 14, 1.
5. CABRAL, M., LEFEBVRE, S., DACHSBACHER, C., AND DRETTAKIS, G. 2009. Structure-preserving reshape for textured architectural scenes. Computer Graphics Forum 28, 2.
6. DE BERG, M., CHEONG, O., VAN KREVELD, M., AND OVERMARS, M. 2008. Computational Geometry: Algorithms and Applications, 3rd ed. Springer Verlag.
7. GAL, R., SORKINE, O., MITRA, N. J., AND COHEN-OR, D. 2009. iWires: an analyze-and-edit approach to shape manipulation. ACM Transactions on Graphics 28, 3.
8. GILBERT, J. R., AND HEALTH, M. T. 1987. Computing a sparse basis for the null space. SIAM Journal on Algebraic and Discrete Methods 8, 3.
9. KRAEVOY, V., SHEFFER, A., SHAMIR, A., AND COHEN-OR, D. 2008. Non-homogeneous resizing of complex models. ACM Transactions on Graphics 27, 5.
10. LIN, J., COHEN-OR, D., ZHANG, H., LIANG, C., SHARF, A., DEUSSEN, O., AND CHEN, B. 2011. Structure-preserving retargeting of irregular 3D architecture. ACM Transactions on Graphics 30, 6.
11. MITRA, N. J., AND PAULY, M. 2008. Symmetry for architectural design. In Advances in Architectural Geometry.
12. PAULY, M., MITRA, N. J., WALLNER, J., POTTMANN, H., AND GUIBAS, L. J. 2008. Discovering structural regularity in 3D geometry. ACM Transactions on Graphics 27, 3.
13. SEDERBERG, T. W., AND PARRY, S. R. 1986. Free-form deformation of solid geometric models. In Proc. SIGGRAPH, ACM.
14. SORKINE, O., COHEN-OR, D., LIPMAN, Y., ALEXA, M., RÖSSL, C., AND SEIDEL, H.-P. 2004. Laplacian surface editing. In Proc. Symposium on Geometry Processing, ACM.
15. TALTON, J. O., LOU, Y., LESSER, S., DUKE, J., MĚCH, R., AND KOLTUN, V. 2011. Metropolis procedural modeling. ACM Transactions on Graphics 30, 2.
16. ŠT'AVA, O., BENEŠ, B., MĚCH, R., ALIAGA, D. G., AND KRIŠTOF, P. 2010. Inverse procedural modeling by automatic generation of L-systems. Computer Graphics Forum 29, 2.
17. XU, W., WANG, J., YIN, K., ZHOU, K., VAN DE PANNE, M., CHEN, F., AND GUO, B. 2009. Joint-aware manipulation of deformable models. ACM Transactions on Graphics 28, 3.
18. YANG, Y.-L., YANG, Y.-J., POTTMANN, H., AND MITRA, N. J. 2011. Shape space exploration of constrained meshes. ACM Transactions on Graphics 30, 6.