Exploring local modifications for constrained meshes

Computer Graphics Forum

Volumn 32, Issue 2 PART1, 2013, Pages 11-20

  Deng, Bailin ^a,b   Bouaziz, Sofien ^a   Deuss, Mario ^a   Zhang, Juyong ^c   Schwartzburg, Yuliy ^a   Pauly, Mark ^a  

^a EPFL   (Switzerland)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^c UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE SEGMENTATION; MESH GENERATION; PRODUCT DESIGN;

CONSTRAINT-BASED; DISPLACEMENT VECTORS; GEOMETRIC MODELING; INTERACTIVE EXPLORATION; ITERATIVE DESIGN; LINEAR SUBSPACE; LOCAL VARIATIONS; TARGET POSITION;

ITERATIVE METHODS;

EID: 84877607553     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/cgf.12021     Document Type: Article

References (34)

1. Andreani R., Birgin E. G., Martínez J. M., Schuverdt M. L.,: On augmented lagrangian methods with general lower-level constraints. SIAM J. Optim. 18, 4 (2007), 1286-1309. 7,8.
2. Alliez P., Cohen-Steiner D., Devillers O., Lévy B., Desbrun M.,: Anisotropic polygonal remeshing. ACM Trans. Graph. 22, 3 (2003). 2.
3. 1 -sparse reconstruction of sharp point set surfaces. ACM Trans. Graph. 29, 5 (2010). 3.
4. Bouaziz S., Deuss M., Schwartzburg Y., Weise T., Pauly M.,: Shape-up: Shaping discrete geometry with projections. Comput. Graph. Forum 31, 5 (2012), 1657-1667. 2, 8.
5. Bertsekas D. P.,: Constrained Optimization and Lagrange Multiplier Methods. Athena Scientific, 1996. 3, 6.
6. Bach F. R., Jenatton R., Mairal J., Obozinski G.,: Optimization with sparsity-inducing penalties. Foundations and Trends in Machine Learning 4, 1 (2012), 1-106. 2, 3.
7. Boyd S., Parikh N., Chu E., Peleato B., Eckstein J.,: Distributed optimization and statistical learning via the alternating direction method of multipliers. Foundations and Trends in Machine Learning 3, 1 (2011), 1-122. 8.
8. Bommes D., Zimmer H., Kobbelt L.,: Mixed-integer quadrangulation. ACM Trans. Graph. 28, 3 (2009). 2.
9. Combettes P. L., Pesquet J.-C.,: Proximal splitting methods in signal processing. In Fixed-Point Algorithms for Inverse Problems in Science and Engineering. Springer, 2011.
10. Candès E. J., Romberg J., Tao T.,: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52, 2 (2006), 489-509. 3.
11. Candès E. J., Wakin M. B.,: An introduction to compressive sampling. IEEE Signal Process. Mag. 25, 2 (2008). 2.
12. 1-minimization. In Numerical Analysis and Its Applications. 2009, pp. 32-43. 3.
13. Deng B., Pottmann H., Wallner J.,: Functional webs for freeform architecture. Comput. Graph. Forum 30, 5 (2011), 1369-1378. 2.
14. Eckstein J.,: Splitting methods for monotone operators with applications to parallel optimization. PhD thesis, MIT, 1989. 3, 6.
15. Eldar Y. C., Kuppinger P., Bolcskei H.,: Block-sparse signals: Uncertainty relations and efficient recovery. IEEE Trans. Signal Process. 58, 6 (2010), 3042-3054. 2.
16. Eigensatz M., Kilian M., Schiftner A., Mitra N. J., Pottmann H., Pauly M.,: Paneling architectural freeform surfaces. ACM Trans. Graph. 29 (2010). 2.
17. Eldar Y C., Mishali M.,: Robust recovery of signals from a structured union of subspaces. IEEE Trans. Inf. Theory 55, 11 (2009), 5302-5316. 2, 3.
18. Fu C.-W., Lai C.-F., He Y., Cohen-Or D.,: K-set tilable surfaces. ACM Trans. Graph. 29, 4 (2010). 2.
19. Gao L., Zhang G., Lai Y,: Lp shape deformation. Science China Information Sciences 55, 5 (2012), 983-993. 3.
20. Habbecke M., Kobbelt L.,: Linear analysis of nonlinear constraints for interactive geometric modeling. Comput. Graph. Forum 31, 2 (2012), 641-650. 2.
21. Hoffmann T.,: On local deformations of planar quad-meshes. In Mathematical Software-ICMS 2010. 2010. 2, 4.
22. Hildebrandt K., Schulz C., Tycowicz C. V., Polthier K.,: Interactive surface modeling using modal analysis. ACM Trans. Graph. 30, 5 (2011). 2.
23. Lavery J. E.,: Shape-preserving, multiscale interpolation by univariate curvature-based cubic L1 splines in cartesian and polar coordinates. Comput. Aided Geom. Design 19, 4 (2002), 257-273. 3.
24. Liu Y., Pottmann H., Wallner J., Yang Y.-L., Wang W.,: Geometric modeling with conical meshes and developable surfaces. ACM Trans. Graph. 25, 3 (2006). 2.
25. Liu Y., Xu W., Wang J., Zhu L., Guo B., Chen F., Wang G.,: General planar quadrilateral mesh design using conjugate direction field. ACM Trans. Graph. 30, 6 (2011). 2.
26. Nocedal J., Wright S. J.,: Numerical Optimization, 2nd ed. Springer, 2006. 3.
27. Pottmann H., Schiftner A., Bo P., Schmiedhofer H., Wang W., Baldassini N., Wallner J.,: Freeform surfaces from single curved panels. ACM Trans. Graph. 27, 3 (2008). 9.
28. Rustamov R. M.,: Multiscale biharmonic kernels. Comput. Graph. Forum 30, 5 (2011). 3.
29. Tseng P.,: Convergence of a block coordinate descent method for nondifferentiable minimization. Journal of Optimization Theory and Applications 109, 3 (2001), 475-494. 7.
30. Vaxman A.,: Modeling polyhedral meshes with affine maps. Comput. Graph. Forum 31, 5 (2012), 1647-1656. 2.
31. Xu L., Lu C., Xu Y., Jia J.,: Image smoothing vial0 gradient minimization. ACM Trans. Graph. 30, 6 (2011). 8.
32. Yang Y.-L., Yang Y.-J., Pottmann H., Mitra N. J.,: Shape space exploration of constrained meshes. ACM Trans. Graph. 30, 6 (2011). 2, 3, 4, 5.
33. Zadravec M., Schiftner A., Wallner J.,: Designing quad-dominant meshes with planar faces. Comput. Graph. Forum 29, 5 (2010), 1671-1679. 2.
34. Zhao X., Tang C.-C, Yang Y.-L., Pottmann H., Mitra N. J.,: Intuitive design exploration of constrained meshes. In Advances in Architectural Geometry 2012 (2012). 2.