Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
403030 | Journal of Symbolic Computation | 2016 | 23 Pages |
Abstract
We propose a symbolic algorithm for detecting the variations in the topological and algebraic properties of the intersection curve of two quadratic surfaces (QSIC) that are moving or deforming in PR3PR3 (real projective 3-space). The core of our algorithm computes all the critical instants when the QSIC changes type using resultants and Jordan forms. These critical instants partition the time axis into intervals within which the QSIC is invariant. The QSIC at the computed critical instants and within the time intervals can both be exactly determined using symbolic technique. Examples are provided to illustrate our algorithm.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Xiaohong Jia, Wenping Wang, Yi-King Choi, Bernard Mourrain, Changhe Tu,