1 |
Y.-K. Choi, J.-W. Chang, W. Wang, M.-S. Kim, and G. Elber, "Continuous collision detection for ellipsoids", IEEE Transactions on Visualization and Computer Graphics, Vol. 15, No. 2, pp. 311-324. 2009.
DOI
|
2 |
X. Jia, Y.-K. Choi, B. Mourrain, and W. Wang, "An algebraic approach to continuous collision detection for ellipsoids", Compuer Aided Geometric Design, Vol. 28, pp. 164-176, 2011.
DOI
|
3 |
L. Gonzalez-Vega and E. Mainar, "Solving the separation problem for two ellipsoids involving only the evaluation of six polynomials", In Proc. Milestones in Computer Algebra 2008.
|
4 |
J. W. Perram and M. S. Wertheim, "Statistical Mechanics of Hard Ellipsoids. I. Overlap Algorithm and the Contact Function", Journal of Computational Physics, Vol. 58, 409-416, 1985.
DOI
|
5 |
J. W. Perram, J. Rasmussen, E. Præstgaard, and J. L. Lebowitz, "Ellipsoid contact potential: Theory and relation to overlap potentials", Physical Review E, Vol. 54, No. 6, pp. 6565-6572, 1996
DOI
|
6 |
L. Paramonov and S. N. Yaliraki, "The directional contact distance of two ellipsoids: Coarse-grained potentials for anisotropic interactions", Journal of Chemical Physics, Vol. 123, No. 19, Article 194111, pp. 1-11, 2005.
|
7 |
X. Zheng and P. Palffy-Muhoray, "Distance of closest approach of two arbitrary hard ellipses in two dimensions", Physical Review E, Vol. 75, Article 061709, pp. 1-6, 2007.
|
8 |
X. Zheng, W. Iglesias and P. Palffy-Muhoray, "Distance of closest approach of two arbitrary hard ellipsoids", Physical Review E, Vol. 79, Article 057702, pp. 1-4, 2009.
|
9 |
W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 3rd edition, Cambridge University, 2007.
|
10 |
M. Teschner, B. Heidelberger, M. Muller, D. Pomeranets and M. Gross, "Optimized spatial hashing for collision detection of deformable objects", In Proc. Vision, Modeling, Visualization 2003, pp. 47-54, 2003.
|
11 |
W. Wang, J. Wang, and M.-S. Kim, "An algebraic condition for the separation of two ellipsoids", Computer Aided Geometric Design, Vol. 18, No. 6, pp. 531-539, 2001.
DOI
|
12 |
M. Muller and N. Chentanez, "Solid simulation with oriented particles", ACM Transactions on Graphics, Vol. 30, No. 4, Article 92, 2011.
|
13 |
M. G. Choi, "Real-time simulation of ductile fracture with oriented particles", Computer Animation and Virtual Worlds, Vol. 25, pp. 455-463, 2014.
DOI
|
14 |
M. G. Choi and J. Lee, "As-rigid-as-possible solid simulation with oriented particles", Computers and Graphics, Vol. 70, pp. 1-7, 2018.
DOI
|