Back to Search
Start Over
PTOPO
- Source :
- ACM Communications in Computer Algebra, ACM Communications in Computer Algebra, 2020, 54 (2), pp.49-52. ⟨10.1145/3427218.3427223⟩, ACM Communications in Computer Algebra, Association for Computing Machinery (ACM), 2020, 54 (2), pp.49-52. ⟨10.1145/3427218.3427223⟩
- Publication Year :
- 2020
- Publisher :
- Association for Computing Machinery (ACM), 2020.
-
Abstract
- International audience; PTOPO is a MAPLE package computing the topology and describing the geometry of a parametric plane curve. The algorithm behind PTOPO constructs an abstract graph that is isotopic to the curve. PTOPO exploits the benefits of the parametric representation and performs all computations in the parameter space using exact computing. PTOPO computes the topology and visualizes the curve in less than a second for most examples in the literature.
- Subjects :
- [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]
Maple
Plane curve
Computer science
010102 general mathematics
0102 computer and information sciences
General Medicine
Parameter space
engineering.material
Topology
01 natural sciences
010201 computation theory & mathematics
engineering
Graph (abstract data type)
0101 mathematics
Representation (mathematics)
Parametric equation
Topology (chemistry)
[INFO.INFO-MS]Computer Science [cs]/Mathematical Software [cs.MS]
Parametric statistics
Subjects
Details
- ISSN :
- 19322240
- Volume :
- 54
- Database :
- OpenAIRE
- Journal :
- ACM Communications in Computer Algebra
- Accession number :
- edsair.doi.dedup.....c0426cc366f69b75bdba04c625a398f3
- Full Text :
- https://doi.org/10.1145/3427218.3427223