Shape space exploration of constrained meshes

ACM Transactions on Graphics

Volumn 30, Issue 6, 2011, Pages

  Yang, Yong Liang ^a   Yang, Yi Jun ^a   Pottmann, Helmut ^b   Mitra, Niloy J ^b  

^a KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Saudi Arabia)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Constrained mesh; Design exploration; Manifold navigation; Shape space

Indexed keywords

APPLICATION SPECIFIC; APPROXIMANTS; COMPUTATIONAL FRAMEWORK; CONSTRAINED MESH; DESIGN EXPLORATION; HIGH DIMENSIONS; NON-LINEAR CONSTRAINTS; PARAMETER SPACES; PARAMETERIZED; QUALITY MEASURES; SECOND ORDERS; SHAPE SPACE; TANGENT SPACE;

SPACE RESEARCH;

NAVIGATION;

EID: 82455168131     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/2024156.2024158     Document Type: Article

References (21)

1. BLANZ, V., AND VETTER, T. 1999. A morphable model for the synthesis of 3d faces. In Proc. ACM SIGGRAPH, 187-194.
2. BOBENKO, A. I., AND SURIS, Y. B. 2008. Discrete Differential Geometry: Integrable Structure, vol. 98. Graduate Studies in Mathematics.
3. BOTSCH, M., AND SORKINE, O. 2008. On linear variational surface deformation methods. In IEEE Trans. on Vis. and Comp. Graphics, vol. 14, 213-230. (Pubitemid 350157892)
4. BOTSCH, M., PAULY, M., GROSS, M., AND KOBBELT, L. 2006. Primo: coupled prisms for intuitive surface modeling. In Proc. of Symp. of Geometry Processing, 11-20.
5. CECCATO, C., HESSELGREN, P., PAULY, M., POTTMANN, H., AND WALLNER, J., Eds. 2010. Advances in Architectural Geometry. Springer.
6. COLEMAN, T., AND LI, Y. 1996. A reflective Newton method for minimizing a quadratic function subject to bounds on some of the variables. SIAM Journal on Optimization 6, 4, 1040-1058.
7. DENG, B., POTTMANN, H., AND WALLNER, J. 2011. Functional webs for freeform architecture. In Proc. of Symp. of Geometry Processing, 1369-1378.
8. DO CARMO, M. P. 1976. Differential Geometry of Curves and Surfaces. Prentice-Hall, Englewood Cliffs, NJ.
9. GAL, R., SORKINE, O., MITRA, N. J., AND COHEN-OR, D. 2009. iwires: An analyze-and-edit approach to shape manipulation. ACM TOG 28, 3, #33, 1-10.
10. GU, X. D., AND YAU, S.-T. 2008. Computational Conformal Geometry. International Press.
11. HOFFMANN, T. 2011. On local deformations of planar quad meshes, vol. 6327 of LNCS. 167-169.
12. HUANG, Q., WICKE, M., ADAMS, B., AND GUIBAS, L. 2009. Shape decomposition using modal analysis. Computer Graphics Forum (Proc. EUROGRAPHICS) 28, 2, 407-416.
13. KILIAN, M., MITRA, N. J., AND POTTMANN, H. 2007. Geometric modeling in shape space. ACM TOG 26, 3, #64, 1-8.
14. LIPMAN, Y., LEVIN, D., AND COHEN-OR, D. 2008. Green coordinates. ACM TOG 27, 78:1-78:10.
15. LIU, Y., POTTMANN, H., WALLNER, J., YANG, Y.-L., AND WANG, W. 2006. Geometric modeling with conical meshes and developable surfaces. ACM TOG 25, 3, 681-689. (Pubitemid 44481028)
16. NOCEDAL, J., AND WRIGHT, S. J. 2006. Numerical Optimization, 2nd ed. Springer, New York.
17. POTTMANN, H., LIU, Y., WALLNER, J., BOBENKO, A., AND WANG, W. 2007. Geometry of multi-layer freeform structures for architecture. ACM TOG 26, 3, # 65,1-11.
18. POTTMANN, H., SCHIFTNER, A., BO, P., SCHMIEDHOFER, H., WANG, W., BALDASSINI, N., AND WALLNER, J. 2008. Freeform surfaces from single curved panels. ACM TOG 27, 3, # 76,1-10.
19. SCHOUTEN, J. A., AND STRUIK, D. J. 1931. Einfhrung in die Neuen Methoden der Differentialgeometrie. Groningen.
20. SUMNER, R. W., ZWICKER, M., GOTSMAN, C., AND POPOVIć , J. 2005. Mesh-based inverse kinematics. ACM TOG 24, 3, 488-495.
21. ZADRAVEC, M., SCHIFTNER, A., AND WALLNER, J. 2010. Designing quad-dominant meshes with planar faces. Computer Graphics Forum 29, 5, 1671-1679.