1. T. J. Peters, Kerner Graphics & UConn Knots & Molecules in Animation, Simulation & Visualization TEA & ToAST

2. T. J. Peters Kerner Graphics Topologically Encoded Animation (TEA)

3. T. J. Peters, UConn Computer Science & Engineering Research & Education Topology & Animation : Science & Technology

5. Trefoil Knot 3D Rotation Encode: Rot_0, Rot_1, …, Rot_n

6. Trefoil Knot 3D Rotation Encode:Use Quaternions

7. More Aggressive Moves Not just rigid body motion Deform shape Preserve crucial characteristics

8. 1.682 Megs

10. Compression: TEA File (<1KB vs 1.7 Megs) Bezier degree = 3, with Control points 0.0 0.0 0.0 4.293 4.441 0.0 8.777 5.123 1.234 12.5 0.0 0.0 Perturbation vectors; constraint on each vector 1 24.1 0.0 0.0 ; 26.4 1 -12.5 0.0 5.0 ; 18.1 2 -2.1 -2.4 -3.1 ; 9.0 1 -11.6 0.0 -1.9 ; 14.0

11. Compression vs Decompression Compression, Phase I. Decompression, Phase II. Phase IB Project with Kerner Technologies??

12. Portability for Display Ipod to Big Screen by parameters. 3D TV. (Prototype in San Rafael.)

13. TEA Authoring Tools for DVFX Time-checker like spell-checker –runs in background; not intrusive! –very expensive if missed. Parametric re-design; similar to CAGD PTC Integrate with VFX.

14. Conclusions Time can be modeled continuously while frames remain discrete. Difference between –Perturb then approximate versus –Approximate then perturb.

15. Quotes & Interpretation “You can’t rush art.”, Woody, Toy Story 2 “Time is money”. Correct math to make the most money.

16. Acknowledgements:$$$ SBIR: TEA, IIP -0810023. SGER: Computational Topology for Surface Reconstruction, CCR - 0226504. Computational Topology for Surface Approximation, FMM - 0429477. IBM Faculty & Doctoral Awards Nvidia: boards, more pending UCRF: machines Investigator’s responsibility, not sponsors’.

17. Acknowledgements: Images http://se.inf.ethz.ch/people/leitner/erl_g http://www.koshermealstogo.com/images/french-toast.jpg www.knotplot.com http://domino.research.ibm.com/comm/pr.nsf/pages/rscd.bluegene-picaa.html www.bangor.ac.uk/cpm/sculmath/movimm.htm blog.liverpoolmuseums.org.uk/graphics/lottie_sleigh.jpg

18. Challenges --- (Audacious?) Another: Inner Life of a Cell – XVIVO for Harvard