Spin-it: Optimizing moment of inertia for spinnable objects

ACM Transactions on Graphics

Volumn 33, Issue 4, 2014, Pages

  Bächer, Moritz ^a   Whiting, Emily ^b   Bickel, Bernd ^a   Sorkine Hornung, Olga ^b  

^a DISNEY RESEARCH   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

Fabrication; Moment of inertia; Shape optimization

Indexed keywords

COMPUTER SCIENCE; COMPUTER SYSTEMS; FABRICATION; SHAPE OPTIMIZATION; INTERACTIVE COMPUTER GRAPHICS;

ADAPTIVE MULTI RESOLUTIONS; AXIS OF ROTATION; MASS DISTRIBUTION; MOMENT OF INERTIA; MULTIPLE MATERIALS; NONLINEAR FORMULATION; PRINCIPAL DIRECTIONS; ROTATIONAL DYNAMICS; 3D MODELS; 3D-MODELING; DYNAMICS PROPERTIES; MOMENTS OF INERTIA; SHAPE-OPTIMIZATION; SPINNING TOPS;

INTERACTIVE COMPUTER GRAPHICS; SHAPE OPTIMIZATION;

EID: 84905729755     PISSN: 07342071     EISSN: 15577333     Source Type: Journal    
DOI: 10.1145/2601097.2601157     Document Type: Conference Paper

References (42)

1. BÄCHER, M., BICKEL, B., JAMES, D. L., AND PFISTER, H. 2012. Fabricating articulated characters from skinned meshes. ACM Trans. Graph. 31, 4, 47:1-47:9.
2. BENDSOE, M., AND SIGMUND, O. 2012. Topology Optimization: Theory, Methods and Applications. Engineering online library. Springer.
3. BICKEL, B., BÄCHER, M., OTADUY, M. A., LEE, H. R., PFIS-TER, H., GROSS, M., AND MATUSIK, W. 2010. Design and fabrication of materials with desired deformation behavior. ACM Trans. Graph. 29, 4.
4. BYRD, R. H., NOCEDAL, J., AND WALTZ, R. A. 2006. Kni-tro: An integrated package for nonlinear optimization. In Large-scale nonlinear optimization. Springer, 35-59.
5. CAL̀I, J., CALIAN, D. A., AMATI, C., KLEINBERGER, R., STEED, A., KAUTZ, J., AND WEYRICH, T. 2012. 3D-printing of non-assembly, articulated models. ACM Trans. Graph. 31, 6, 130:1-130:8.
6. CEYLAN, D., LI, W., MITRA, N., AGRAWALA, M., AND PAULY, M. 2013. Designing and fabricating mechanical automata from mocap sequences. ACM Trans. Graph. 32, 6.
7. CHEN, D., LEVIN, D. I. W., DIDYK, P., SITTHI-AMORN, P., AND MATUSIK, W. 2013. Spec2Fab: A reducer-tuner model for translating specifications to 3D prints. ACM Trans. Graph. 32, 4, 135:1-135:10.
8. COHEN, R. J. 1977. The tippe top revisited. American Journal of Physics 45, 1, 12-17.
9. COROS, S., THOMASZEWSKI, B., NORIS, G., SUEDA, S., FORBERG, M., SUMNER, R. W., MATUSIK, W., AND BICKEL, B. 2013. Computational design of mechanical characters. ACM Trans. Graph. 32, 4, 83:1-83:12.
10. CRABTREE, H. 1909. An Elementary Treatment of the Theory of Spinning Tops. Longmans, Green and Co.
11. CROSS, R. 2013. The rise and fall of spinning tops. American Journal of Physics 81, 280.
12. DEROSE, G. C. J., AND D́IAZ, A. R. 1996. Hierarchical solution of large-scale three-dimensional topology optimization problems. In ASME Design Engineering Technical Conferences and Computers in Engineering Conference.
13. EBERLY, D. H. 2003. Game Physics. Elsevier Science Inc.
14. FLETCHER, R. 1987. Practical Methods of Optimization; (2Nd Ed.). Wiley-Interscience, New York, NY, USA.
15. FURUTA, Y., MITANI, J., IGARASHI, T., AND FUKUI, Y. 2010. Kinetic art design system comprising rigid body simulation. Computer-Aided Design and Applications 7, 4, 533-546.
16. GAJAMOHAN, M., MERZ, M., THOMMEN, I., AND D'ANDREA, R. 2012. The Cubli: A cube that can jump up and balance. In Proc. IROS, IEEE, 3722-3727.
17. GOLDSTEIN, H., POOLE, C., AND SAFKO, J. 2001. Classical Mechanics, 3rd ed. Addison Wesley.
18. GOULD, D. 1975. The Top: Universal Toy Enduring Pastime. Bailey Brothers and Swinfen Ltd.
19. HIROSE, M., MITANI, J., KANAMORI, Y., AND FUKUI, Y. 2011. An interactive design system for sphericon-based geometric toys using conical voxels. In Proc. International Conference on Smart Graphics, 37-47.
20. HULLIN, M. B., IHRKE, I., HEIDRICH, W., WEYRICH, T., DAMBERG, G., AND FUCHS, M. 2013. Computational fabrication and display of material appearance. In Eurographics State-of-the-Art Reports (STAR), 17 pages.
21. JACOBSON, A., BARAN, I., POPOVIĆ, J., AND SORKINE, O. 2011. Bounded biharmonic weights for real-time deformation. ACM Trans. Graph. 30, 4, 78:1-78:8.
22. JACOBSON, A., BARAN, I., KAVAN, L., POPOVIĆ, J., AND SORKINE, O. 2012. Fast automatic skinning transformations. ACM Transactions on Graphics (proceedings of ACM SIG-GRAPH) 31, 4, 77:1-77:10.
23. KANG, Z., WANG, X., AND WANG, R. 2009. Topology optimization of space vehicle structures considering attitude control effort. Finite Elements in Analysis and Design 45, 431-438.
24. KÖNIG, O., AND WINTERMANTEL, M., 2004. CAD-based evolutionary design optimization with CATIA V5. 1st Weimar Optimization and Stochastic Days.
25. LEWIS, D., RATIU, T., SIMO, J. C., AND MARSDEN, J. E. 1992. The heavy top: a geometric treatment. Nonlinearity 5, 1, 1.
26. LUO, L., BARAN, I., RUSINKIEWICZ, S., AND MATUSIK, W. 2012. Chopper: partitioning models into 3D-printable parts. ACM Trans. Graph. 31, 6, 129:1-129:9.
27. MACCHIETTO, A., ZORDAN, V., AND SHELTON, C. R. 2009. Momentum control for balance. ACM Trans. Graph. 28, 3.
28. MALKO, G. 1978. The One and Only Yo-Yo Book. Avon.
29. NOCEDAL, J., AND WRIGHT, S. J. 2000. Numerical Optimization. Springer.
30. PERRY, J. 1957. Spinning Tops and Gyroscopic Motion. Dover Publications.
31. PRÉVOST, R., WHITING, E., LEFEBVRE, S., AND SORKINE-HORNUNG, O. 2013. Make It Stand: Balancing shapes for 3D fabrication. ACM Trans. Graph. 32, 4, 81:1-81:10.
32. PROOS, K., STEVEN, G., QUERIN, O., AND XIE, Y. 2001. Stiffness and inertia multicriteria evolutionary structural optimisation. Engineering Computations 18, 7, 1031-1054.
33. PROVATIDIS, C. G. 2012. Revisiting the spinning top. International Journal of Material and Mechanical Engineering (IJMME) 1, 4, 71-88.
34. SKOURAS, M., THOMASZEWSKI, B., COROS, S., BICKEL, B., AND GROSS, M. 2013. Computational design of actuated de-formable characters. ACM Trans. Graph. 32, 4, 82:1-82:10.
35. 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, 179-188.
36. STAVA, O., VANEK, J., BENES, B., CARR, N., AND MĚCH, R. 2012. Stress relief: Improving structural strength of 3D printable objects. ACM Trans. Graph. 31, 4, 48:1-48:11.
37. UMETANI, N., AND SCHMIDT, R. 2013. Cross-sectional structural analysis for 3D printing optimization. In SIGGRAPH Asia 2013 Technical Briefs, 5:1-5:4.
38. VIDIMČE, K., WANG, S.-P., RAGAN-KELLEY, J., AND MA-TUSIK, W. 2013. OpenFab: A programmable pipeline for multimaterial fabrication. ACM Trans. Graph. 32, 4, 136:1-136:12.
39. WANG, W., WANG, T. Y., YANG, Z., LIU, L., TONG, X., TONG, W., DENG, J., CHEN, F., AND LIU, X. 2013. Cost-effective printing of 3D objects with skin-frame structures. ACM Trans. Graph. 32, 6, 177:1-177:10.
40. ZHOU, Q., PANETTA, J., AND ZORIN, D. 2013. Worst-case structural analysis. ACM Trans. Graph. 32, 4, 137:1-137:12.
41. ZHOU, Y., SUEDA, S., MATUSIK, W., AND SHAMIR, A. 2014. Boxelization: Folding 3d objects into boxes. ACM Trans. Graph. 33, 4 (Jul), (to appear).
42. ZHU, L., XU, W., SNYDER, J., LIU, Y., WANG, G., AND GUO, B. 2012. Motion-guided mechanical toy modeling. ACM Trans. Graph. 31, 6, 127.