Name
Title | ||
|---|---|---|
Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space |
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 PR 3 (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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.jsc.2015.05.002 | Journal of Symbolic Computation |
Keywords | Field | DocType |
Intersection curve,Moving quadrics,Signature sequence,Index sequence,Jordan form | Discrete mathematics,Combinatorics,Symbolic algorithm,Quadratic equation,Invariant (mathematics),Algebraic properties,Partition (number theory),Intersection curve,Mathematics,Quadric,Projective space | Journal |
Volume | Issue | ISSN |
73 | C | 0747-7171 |
Citations | PageRank | References |
2 | 0.38 | 17 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaohong Jia | 1 | 32 | 3.40 |
| Wenping Wang | 2 | 2491 | 176.19 |
| Yi-king Choi | 3 | 193 | 15.08 |
| Bernard Mourrain | 4 | 1074 | 113.70 |
| Changhe Tu | 5 | 288 | 34.47 |