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COMPUTING
2004
107views more  COMPUTING 2004»
13 years 10 months ago
Efficient Collision Detection for Moving Ellipsoids Using Separating Planes
We present a simple, accurate and efficient algorithm for collision detection among moving ellipsoids. Its efficiency is attributed to two results: (i) a simple algebraic test for...
Wenping Wang, Yi-King Choi, Bin Chan, Myung-Soo Ki...
SCL
2008
104views more  SCL 2008»
13 years 10 months ago
Global optimal attitude estimation using uncertainty ellipsoids
A deterministic attitude estimation problem for a rigid body in a potential field, with bounded attitude and angular velocity measurement errors is considered. An attitude estimat...
Amit K. Sanyal, Taeyoung Lee, Melvin Leok, N. Harr...
VMV
2003
121views Visualization» more  VMV 2003»
14 years 7 days ago
Splatting Illuminated Ellipsoids with Depth Correction
Ellipsoids are important primitives used in visualization and modeling, where often a larger number of ellipsoids have to be displayed in real-time. The standard approach of tesse...
Stefan Gumhold
HYBRID
2000
Springer
14 years 2 months ago
Verification of Hybrid Systems with Linear Differential Inclusions Using Ellipsoidal Approximations
A general verification algorithm is described. It is then shown how ellipsoidal methods developed by A. B. Kurzhanski and P. Varaiya can be adapted to the algorithm. New numerical ...
Oleg Botchkarev, Stavros Tripakis
PG
2003
IEEE
14 years 4 months ago
Modeling and Deformation of Arms and Legs Based on Ellipsoidal Sweeping
We present a new approach to the modeling and deformation of a human or virtual character’s arms and legs. Each limb is represented as a set of ellipsoids of varying size interp...
Dae-Eun Hyun, Seung-Hyun Yoon, Myung-Soo Kim, Bert...
ICRA
2003
IEEE
95views Robotics» more  ICRA 2003»
14 years 4 months ago
Exact Collision Detection of Two Moving Ellipsoids under Rational Motions
In this paper, we describe an exact method for detecting collision between two moving ellipsoids under pre-specified rational motions. Our method is based on an algebraic conditi...
Yi-King Choi, Wenping Wang, Myung-Soo Kim
ADC
2009
Springer
98views Database» more  ADC 2009»
14 years 5 months ago
Elliptic Indexing of Multidimensional Databases
In this work an R-tree variant, which uses minimum volume covering ellipsoids instead of usual minimum bounding rectangles, is presented. The most significant aspects, which dete...
Ondrej Danko, Tomás Skopal